biography isaac newton

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Isaac Newton

By: History.com Editors

Updated: October 16, 2023 | Original: March 10, 2015

Isaac Newton is best know for his theory about the law of gravity, but his “Principia Mathematica” (1686) with its three laws of motion greatly influenced the Enlightenment in Europe. Born in 1643 in Woolsthorpe, England, Sir Isaac Newton began developing his theories on light, calculus and celestial mechanics while on break from Cambridge University. 

Years of research culminated with the 1687 publication of “Principia,” a landmark work that established the universal laws of motion and gravity. Newton’s second major book, “Opticks,” detailed his experiments to determine the properties of light. Also a student of Biblical history and alchemy, the famed scientist served as president of the Royal Society of London and master of England’s Royal Mint until his death in 1727.

Isaac Newton: Early Life and Education

Isaac Newton was born on January 4, 1643, in Woolsthorpe, Lincolnshire, England. The son of a farmer who died three months before he was born, Newton spent most of his early years with his maternal grandmother after his mother remarried. His education was interrupted by a failed attempt to turn him into a farmer, and he attended the King’s School in Grantham before enrolling at the University of Cambridge’s Trinity College in 1661.

Newton studied a classical curriculum at Cambridge, but he became fascinated by the works of modern philosophers such as René Descartes, even devoting a set of notes to his outside readings he titled “Quaestiones Quaedam Philosophicae” (“Certain Philosophical Questions”). When the Great Plague shuttered Cambridge in 1665, Newton returned home and began formulating his theories on calculus, light and color, his farm the setting for the supposed falling apple that inspired his work on gravity.

Isaac Newton’s Telescope and Studies on Light

Newton returned to Cambridge in 1667 and was elected a minor fellow. He constructed the first reflecting telescope in 1668, and the following year he received his Master of Arts degree and took over as Cambridge’s Lucasian Professor of Mathematics. Asked to give a demonstration of his telescope to the Royal Society of London in 1671, he was elected to the Royal Society the following year and published his notes on optics for his peers.

Through his experiments with refraction, Newton determined that white light was a composite of all the colors on the spectrum, and he asserted that light was composed of particles instead of waves. His methods drew sharp rebuke from established Society member Robert Hooke, who was unsparing again with Newton’s follow-up paper in 1675. 

Known for his temperamental defense of his work, Newton engaged in heated correspondence with Hooke before suffering a nervous breakdown and withdrawing from the public eye in 1678. In the following years, he returned to his earlier studies on the forces governing gravity and dabbled in alchemy.

Isaac Newton and the Law of Gravity

In 1684, English astronomer Edmund Halley paid a visit to the secluded Newton. Upon learning that Newton had mathematically worked out the elliptical paths of celestial bodies, Halley urged him to organize his notes. 

The result was the 1687 publication of “Philosophiae Naturalis Principia Mathematica” (Mathematical Principles of Natural Philosophy), which established the three laws of motion and the law of universal gravity. Newton’s three laws of motion state that (1) Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it; (2) Force equals mass times acceleration: F=MA and (3) For every action there is an equal and opposite reaction.

“Principia” propelled Newton to stardom in intellectual circles, eventually earning universal acclaim as one of the most important works of modern science. His work was a foundational part of the European Enlightenment .

With his newfound influence, Newton opposed the attempts of King James II to reinstitute Catholic teachings at English Universities. King James II was replaced by his protestant daughter Mary and her husband William of Orange as part of the Glorious Revolution of 1688, and Newton was elected to represent Cambridge in Parliament in 1689. 

Newton moved to London permanently after being named warden of the Royal Mint in 1696, earning a promotion to master of the Mint three years later. Determined to prove his position wasn’t merely symbolic, Newton moved the pound sterling from the silver to the gold standard and sought to punish counterfeiters.

The death of Hooke in 1703 allowed Newton to take over as president of the Royal Society, and the following year he published his second major work, “Opticks.” Composed largely from his earlier notes on the subject, the book detailed Newton’s painstaking experiments with refraction and the color spectrum, closing with his ruminations on such matters as energy and electricity. In 1705, he was knighted by Queen Anne of England.

Isaac Newton: Founder of Calculus?

Around this time, the debate over Newton’s claims to originating the field of calculus exploded into a nasty dispute. Newton had developed his concept of “fluxions” (differentials) in the mid 1660s to account for celestial orbits, though there was no public record of his work. 

In the meantime, German mathematician Gottfried Leibniz formulated his own mathematical theories and published them in 1684. As president of the Royal Society, Newton oversaw an investigation that ruled his work to be the founding basis of the field, but the debate continued even after Leibniz’s death in 1716. Researchers later concluded that both men likely arrived at their conclusions independent of one another.

Death of Isaac Newton

Newton was also an ardent student of history and religious doctrines, and his writings on those subjects were compiled into multiple books that were published posthumously. Having never married, Newton spent his later years living with his niece at Cranbury Park near Winchester, England. He died in his sleep on March 31, 1727, and was buried in Westminster Abbey .

A giant even among the brilliant minds that drove the Scientific Revolution, Newton is remembered as a transformative scholar, inventor and writer. He eradicated any doubts about the heliocentric model of the universe by establishing celestial mechanics, his precise methodology giving birth to what is known as the scientific method. Although his theories of space-time and gravity eventually gave way to those of Albert Einstein , his work remains the bedrock on which modern physics was built.

Isaac Newton Quotes

• “If I have seen further it is by standing on the shoulders of Giants.”
• “I can calculate the motion of heavenly bodies but not the madness of people.”
• “What we know is a drop, what we don't know is an ocean.”
• “Gravity explains the motions of the planets, but it cannot explain who sets the planets in motion.”
• “No great discovery was ever made without a bold guess.”

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Isaac Newton

Isaac Newton (1642–1727) is best known for having invented the calculus in the mid to late 1660s (most of a decade before Leibniz did so independently, and ultimately more influentially) and for having formulated the theory of universal gravity — the latter in his Principia , the single most important work in the transformation of early modern natural philosophy into modern physical science. Yet he also made major discoveries in optics beginning in the mid-1660s and reaching across four decades; and during the course of his 60 years of intense intellectual activity he put no less effort into chemical and alchemical research and into theology and biblical studies than he put into mathematics and physics. He became a dominant figure in Britain almost immediately following publication of his Principia in 1687, with the consequence that “Newtonianism” of one form or another had become firmly rooted there within the first decade of the eighteenth century. His influence on the continent, however, was delayed by the strong opposition to his theory of gravity expressed by such leading figures as Christiaan Huygens and Leibniz, both of whom saw the theory as invoking an occult power of action at a distance in the absence of Newton's having proposed a contact mechanism by means of which forces of gravity could act. As the promise of the theory of gravity became increasingly substantiated, starting in the late 1730s but especially during the 1740s and 1750s, Newton became an equally dominant figure on the continent, and “Newtonianism,” though perhaps in more guarded forms, flourished there as well. What physics textbooks now refer to as “Newtonian mechanics” and “Newtonian science” consists mostly of results achieved on the continent between 1740 and 1800.

1.1 Newton's Early Years

1.2 newton's years at cambridge prior to principia, 1.3 newton's final years at cambridge, 1.4 newton's years in london and his final years, 2. newton's work and influence, primary sources, secondary sources, other internet resources, related entries, 1. newton's life.

Newton's life naturally divides into four parts: the years before he entered Trinity College, Cambridge in 1661; his years in Cambridge before the Principia was published in 1687; a period of almost a decade immediately following this publication, marked by the renown it brought him and his increasing disenchantment with Cambridge; and his final three decades in London, for most of which he was Master of the Mint. While he remained intellectually active during his years in London, his legendary advances date almost entirely from his years in Cambridge. Nevertheless, save for his optical papers of the early 1670s and the first edition of the Principia , all his works published before he died fell within his years in London. [ 1 ]

Newton was born into a Puritan family in Woolsthorpe, a small village in Linconshire near Grantham, on 25 December 1642 (old calendar), a few days short of one year after Galileo died. Isaac's father, a farmer, died two months before Isaac was born. When his mother Hannah married the 63 year old Barnabas Smith three years later and moved to her new husband's residence, Isaac was left behind with his maternal grandparents. (Isaac learned to read and write from his maternal grandmother and mother, both of whom, unlike his father, were literate.) Hannah returned to Woolsthorpe with three new children in 1653, after Smith died. Two years later Isaac went to boarding school in Grantham, returning full time to manage the farm, not very successfully, in 1659. Hannah's brother, who had received an M.A. from Cambridge, and the headmaster of the Grantham school then persuaded his mother that Isaac should prepare for the university. After further schooling at Grantham, he entered Trinity College in 1661, somewhat older than most of his classmates.

These years of Newton's youth were the most turbulent in the history of England. The English Civil War had begun in 1642, King Charles was beheaded in 1649, Oliver Cromwell ruled as lord protector from 1653 until he died in 1658, followed by his son Richard from 1658 to 1659, leading to the restoration of the monarchy under Charles II in 1660. How much the political turmoil of these years affected Newton and his family is unclear, but the effect on Cambridge and other universities was substantial, if only through unshackling them for a period from the control of the Anglican Catholic Church. The return of this control with the restoration was a key factor inducing such figures as Robert Boyle to turn to Charles II for support for what in 1660 emerged as the Royal Society of London. The intellectual world of England at the time Newton matriculated to Cambridge was thus very different from what it was when he was born.

Newton's initial education at Cambridge was classical, focusing (primarily through secondary sources) on Aristotlean rhetoric, logic, ethics, and physics. By 1664, Newton had begun reaching beyond the standard curriculum, reading, for example, the 1656 Latin edition of Descartes's Opera philosophica , which included the Meditations , Discourse on Method , the Dioptrics , and the Principles of Philosophy . By early 1664 he had also begun teaching himself mathematics, taking notes on works by Oughtred, Viète, Wallis, and Descartes — the latter via van Schooten's Latin translation, with commentary, of the Géométrie . Newton spent all but three months from the summer of 1665 until the spring of 1667 at home in Woolsthorpe when the university was closed because of the plague. This period was his so-called annus mirabilis . During it, he made his initial experimental discoveries in optics and developed (independently of Huygens's treatment of 1659) the mathematical theory of uniform circular motion, in the process noting the relationship between the inverse-square and Kepler's rule relating the square of the planetary periods to the cube of their mean distance from the Sun. Even more impressively, by late 1666 he had become de facto the leading mathematician in the world, having extended his earlier examination of cutting-edge problems into the discovery of the calculus, as presented in his tract of October 1666. He returned to Trinity as a Fellow in 1667, where he continued his research in optics, constructing his first reflecting telescope in 1669, and wrote a more extended tract on the calculus “De Analysi per Æquations Numero Terminorum Infinitas” incorporating new work on infinite series. On the basis of this tract Isaac Barrow recommended Newton as his replacement as Lucasian Professor of Mathematics, a position he assumed in October 1669, four and a half years after he had received his Bachelor of Arts.

Over the course of the next fifteen years as Lucasian Professor Newton presented his lectures and carried on research in a variety of areas. By 1671 he had completed most of a treatise length account of the calculus, [ 2 ] which he then found no one would publish. This failure appears to have diverted his interest in mathematics away from the calculus for some time, for the mathematical lectures he registered during this period mostly concern algebra. (During the early 1680s he undertook a critical review of classical texts in geometry, a review that reduced his view of the importance of symbolic mathematics.) His lectures from 1670 to 1672 concerned optics, with a large range of experiments presented in detail. Newton went public with his work in optics in early 1672, submitting material that was read before the Royal Society and then published in the Philosophical Transactions of the Royal Society . This led to four years of exchanges with various figures who challenged his claims, including both Robert Hooke and Christiaan Huygens — exchanges that at times exasperated Newton to the point that he chose to withdraw from further public exchanges in natural philosophy. Before he largely isolated himself in the late 1670s, however, he had also engaged in a series of sometimes long exchanges in the mid 1670s, most notably with John Collins (who had a copy of “De Analysi”) and Leibniz, concerning his work on the calculus. So, though they remained unpublished, Newton's advances in mathematics scarcely remained a secret.

This period as Lucasian Professor also marked the beginning of his more private researches in alchemy and theology. Newton purchased chemical apparatus and treatises in alchemy in 1669, with experiments in chemistry extending across this entire period. The issue of the vows Newton might have to take in conjunction with the Lucasian Professorship also appears to have precipitated his study of the doctrine of the Trinity, which opened the way to his questioning the validity of a good deal more doctrine central to the Roman and Anglican Churches.

Newton showed little interest in orbital astronomy during this period until Hooke initiated a brief correspondence with him in an effort to solicit material for the Royal Society at the end of November 1679, shortly after Newton had returned to Cambridge following the death of his mother. Among the several problems Hooke proposed to Newton was the question of the trajectory of a body under an inverse-square central force:

It now remaines to know the proprietys of a curve Line (not circular nor concentricall) made by a centrall attractive power which makes the velocitys of Descent from the tangent Line or equall straight motion at all Distances in a Duplicate proportion to the Distances Reciprocally taken. I doubt not but that by your excellent method you will easily find out what the Curve must be, and it proprietys, and suggest a physicall Reason of this proportion. [ 3 ]

Newton apparently discovered the systematic relationship between conic-section trajectories and inverse-square central forces at the time, but did not communicate it to anyone, and for reasons that remain unclear did not follow up this discovery until Halley, during a visit in the summer of 1684, put the same question to him. His immediate answer was, an ellipse; and when he was unable to produce the paper on which he had made this determination, he agreed to forward an account to Halley in London. Newton fulfilled this commitment in November by sending Halley a nine-folio-page manuscript, “De Motu Corporum in Gyrum” (“On the Motion of Bodies in Orbit”), which was entered into the Register of the Royal Society in early December 1684. The body of this tract consists of ten deduced propositions — three theorems and seven problems — all of which, along with their corollaries, recur in important propositions in the Principia .

Save for a few weeks away from Cambridge, from late 1684 until early 1687, Newton concentrated on lines of research that expanded the short ten-proposition tract into the 500 page Principia , with its 192 derived propositions. Initially the work was to have a two book structure, but Newton subsequently shifted to three books, and replaced the original version of the final book with one more mathematically demanding. The manuscript for Book 1 was sent to London in the spring of 1686, and the manuscripts for Books 2 and 3, in March and April 1687, respectively. The roughly three hundred copies of the Principia came off the press in the summer of 1687, thrusting the 44 year old Newton into the forefront of natural philosophy and forever ending his life of comparative isolation.

The years between the publication of the Principia and Newton's permanent move to London in 1696 were marked by his increasing disenchantment with his situation in Cambridge. In January 1689, following the Glorious Revolution at the end of 1688, he was elected to represent Cambridge University in the Convention Parliament, which he did until January 1690. During this time he formed friendships with John Locke and Nicolas Fatio de Duillier, and in the summer of 1689 he finally met Christiaan Huygens face to face for two extended discussions. Perhaps because of disappointment with Huygens not being convinced by the argument for universal gravity, in the early 1690s Newton initiated a radical rewriting of the Principia . During these same years he wrote (but withheld) his principal treatise in alchemy, Praxis ; he corresponded with Richard Bentley on religion and allowed Locke to read some of his writings on the subject; he once again entered into an effort to put his work on the calculus in a form suitable for publication; and he carried out experiments on diffraction with the intent of completing his Opticks , only to withhold the manuscript from publication because of dissatisfaction with its treatment of diffraction. The radical revision of the Principia became abandoned by 1693, during the middle of which Newton suffered, by his own testimony, what in more recent times would be called a nervous breakdown. In the two years following his recovery that autumn, he continued his experiments in chymistry and he put substantial effort into trying to refine and extend the gravity-based theory of the lunar orbit in the Principia , but with less success than he had hoped.

Throughout these years Newton showed interest in a position of significance in London, but again with less success than he had hoped until he accepted the relatively minor position of Warden of the Mint in early 1696, a position he held until he became Master of the Mint at the end of 1699. He again represented Cambridge University in Parliament for 16 months, beginning in 1701, the year in which he resigned his Fellowship at Trinity College and the Lucasian Professorship. He was elected President of the Royal Society in 1703 and was knighted by Queen Anne in 1705.

Newton thus became a figure of imminent authority in London over the rest of his life, in face-to-face contact with individuals of power and importance in ways that he had not known in his Cambridge years. His everyday home life changed no less dramatically when his extraordinarily vivacious teenage niece, Catherine Barton, the daughter of his half-sister Hannah, moved in with him shortly after he moved to London, staying until she married John Conduitt in 1717, and after that remaining in close contact. (It was through her and her husband that Newton's papers came down to posterity.) Catherine was socially prominent among the powerful and celebrated among the literati for the years before she married, and her husband was among the wealthiest men of London.

The London years saw Newton embroiled in some nasty disputes, probably made the worse by the ways in which he took advantage of his position of authority in the Royal Society. In the first years of his Presidency he became involved in a dispute with John Flamsteed in which he and Halley, long ill-disposed toward the Flamsteed, violated the trust of the Royal Astronomer, turning him into a permanent enemy. Ill feelings between Newton and Leibniz had been developing below the surface from even before Huygens had died in 1695, and they finally came to a head in 1710 when John Keill accused Leibniz in the Philosophical Transactions of having plagiarized the calculus from Newton and Leibniz, a Fellow of the Royal Society since 1673, demanded redress from the Society. The Society's 1712 published response was anything but redress. Newton not only was a dominant figure in this response, but then published an outspoken anonymous review of it in 1715 in the Philosophical Transactions . Leibniz and his colleagues on the Continent had never been comfortable with the Principia and its implication of action at a distance. With the priority dispute this attitude turned into one of open hostility toward Newton's theory of gravity — a hostility that was matched in its blindness by the fervor of acceptance of the theory in England. The public elements of the priority dispute had the effect of expanding a schism between Newton and Leibniz into a schism between the English associated with the Royal Society and the group who had been working with Leibniz on the calculus since the 1690s, including most notably Johann Bernoulli, and this schism in turn transformed into one between the conduct of science and mathematics in England versus the Continent that persisted long after Leibniz died in 1716.

Although Newton obviously had far less time available to devote to solitary research during his London years than he had had in Cambridge, he did not entirely cease to be productive. The first (English) edition of his Opticks finally appeared in 1704, appended to which were two mathematical treatises, his first work on the calculus to appear in print. This edition was followed by a Latin edition in 1706 and a second English edition in 1717, each containing important Queries on key topics in natural philosophy beyond those in its predecessor. Other earlier work in mathematics began to appear in print, including a work on algebra, Arithmetica Universalis , in 1707 and “De Analysi” and a tract on finite differences, “Methodis differentialis” in 1711. The second edition of the Principia , on which Newton had begun work at the age of 66 in 1709, was published in 1713, with a third edition in 1726. Though the original plan for a radical restructuring had long been abandoned, the fact that virtually every page of the Principia received some modifications in the second edition shows how carefully Newton, often prodded by his editor Roger Cotes, reconsidered everything in it; and important parts were substantially rewritten not only in response to Continental criticisms, but also because of new data, including data from experiments on resistance forces carried out in London. Focused effort on the third edition began in 1723, when Newton was 80 years old, and while the revisions are far less extensive than in the second edition, it does contain substantive additions and modfications, and it surely has claim to being the edition that represents his most considered views.

Newton died on 20 March 1727 at the age of 84. His contemporaries' conception of him nevertheless continued to expand as a consequence of various posthumous publications, including The Chronology of Ancient Kingdoms Amended (1728); the work originally intended to be the last book of the Principia , The System of the World (1728, in both English and Latin); Observations upon the Prophecies of Daniel and the Apocalypse of St. John (1733); A Treatise of the Method of Fluxions and Infinite Series (1737); A Dissertation upon the Sacred Cubit of the Jews (1737), and Four Letters from Sir Isaac Newton to Doctor Bentley concerning Some Arguments in Proof of a Deity (1756). Even then, however, the works that had been published represented only a limited fraction of the total body of papers that had been left in the hands of Catherine and John Conduitt. The five volume collection of Newton's works edited by Samuel Horsley (1779–85) did not alter this situation. Through the marriage of the Conduitts' daughter Catherine and subsequent inheritance, this body of papers came into the possession of Lord Portsmouth, who agreed in 1872 to allow it to be reviewed by scholars at Cambridge University (John Couch Adams, George Stokes, H. R. Luard, and G. D. Liveing). They issued a catalogue in 1888, and the university then retained all the papers of a scientific character. With the notable exception of W. W. Rouse Ball, little work was done on the scientific papers before World War II. The remaining papers were returned to Lord Portsmouth, and then ultimately sold at auction in 1936 to various parties. Serious scholarly work on them did not get underway until the 1970s, and much remains to be done on them.

Three factors stand in the way of giving an account of Newton's work and influence. First is the contrast between the public Newton, consisting of publications in his lifetime and in the decade or two following his death, and the private Newton, consisting of his unpublished work in math and physics, his efforts in chymistry — that is, the 17th century blend of alchemy and chemistry — and his writings in radical theology — material that has become public mostly since World War II. Only the public Newton influenced the eighteenth and early nineteenth centuries, yet any account of Newton himself confined to this material can at best be only fragmentary. Second is the contrast, often shocking, between the actual content of Newton's public writings and the positions attributed to him by others, including most importantly his popularizers. The term “Newtonian” refers to several different intellectual strands unfolding in the eighteenth century, some of them tied more closely to Voltaire, Pemberton, and Maclaurin — or for that matter to those who saw themselves as extending his work, such as Clairaut, Euler, d'Alembert, Lagrange, and Laplace — than to Newton himself. Third is the contrast between the enormous range of subjects to which Newton devoted his full concentration at one time or another during the 60 years of his intellectual career — mathematics, optics, mechanics, astronomy, experimental chemistry, alchemy, and theology — and the remarkably little information we have about what drove him or his sense of himself. Biographers and analysts who try to piece together a unified picture of Newton and his intellectual endeavors often end up telling us almost as much about themselves as about Newton.

Compounding the diversity of the subjects to which Newton devoted time are sharp contrasts in his work within each subject. Optics and orbital mechanics both fall under what we now call physics, and even then they were seen as tied to one another, as indicated by Descartes' first work on the subject, Le Monde, ou Traité de la lumierè . Nevertheless, two very different “Newtonian” traditions in physics arose from Newton's Opticks and Principia : from his Opticks a tradition centered on meticulous experimentation and from his Principia a tradition centered on mathematical theory. The most important element common to these two was Newton's deep commitment to having the empirical world serve not only as the ultimate arbiter, but also as the sole basis for adopting provisional theory. Throughout all of this work he displayed distrust of what was then known as the method of hypotheses – putting forward hypotheses that reach beyond all known phenomena and then testing them by deducing observable conclusions from them. Newton insisted instead on having specific phenomena decide each element of theory, with the goal of limiting the provisional aspect of theory as much as possible to the step of inductively generalizing from the specific phenomena. This stance is perhaps best summarized in his fourth Rule of Reasoning, added in the third edition of the Principia , but adopted as early as his Optical Lectures of the 1670s:

In experimental philosophy, propositions gathered from phenomena by induction should be taken to be either exactly or very nearly true notwithstanding any contrary hypotheses, until yet other phenomena make such propositions either more exact or liable to exceptions. This rule should be followed so that arguments based on induction may not be nullified by hypotheses.

Such a commitment to empirically driven science was a hallmark of the Royal Society from its very beginnings, and one can find it in the research of Kepler, Galileo, Huygens, and in the experimental efforts of the Royal Academy of Paris. Newton, however, carried this commitment further first by eschewing the method of hypotheses and second by displaying in his Principia and Opticks how rich a set of theoretical results can be secured through well-designed experiments and mathematical theory designed to allow inferences from phenomena. The success of those after him in building on these theoretical results completed the process of transforming natural philosophy into modern empirical science.

Newton's commitment to having phenomena decide the elements of theory required questions to be left open when no available phenomena could decide them. Newton contrasted himself most strongly with Leibniz in this regard at the end of his anonymous review of the Royal Society's report on the priority dispute over the calculus:

It must be allowed that these two Gentlemen differ very much in Philosophy. The one proceeds upon the Evidence arising from Experiments and Phenomena, and stops where such Evidence is wanting; the other is taken up with Hypotheses, and propounds them, not to be examined by Experiments, but to be believed without Examination. The one for want of Experiments to decide the Question, doth not affirm whether the Cause of Gravity be Mechanical or not Mechanical; the other that it is a perpetual Miracle if it be not Mechanical.

Newton could have said much the same about the question of what light consists of, waves or particles, for while he felt that the latter was far more probable, he saw it still not decided by any experiment or phenomenon in his lifetime. Leaving questions about the ultimate cause of gravity and the constitution of light open was the other factor in his work driving a wedge between natural philosophy and empirical science.

The many other areas of Newton's intellectual endeavors made less of a difference to eighteenth century philosophy and science. In mathematics, Newton was the first to develop a full range of algorithms for symbolically determining what we now call integrals and derivatives, but he subsequently became fundamentally opposed to the idea, championed by Leibniz, of transforming mathematics into a discipline grounded in symbol manipulation. Newton thought the only way of rendering limits rigorous lay in extending geometry to incorporate them, a view that went entirely against the tide in the development of mathematics in the eighteenth and nineteenth ceturies. In chemistry Newton conducted a vast array of experiments, but the experimental tradition coming out of his Opticks , and not his experiments in chemistry, lay behind Lavoisier calling himself a Newtonian; indeed, one must wonder whether Lavoisier would even have associated his new form of chemistry with Newton had he been aware of Newton's fascination with writings in the alchemical tradition. And even in theology, there is Newton the anti-Trinitarian mild heretic who was not that much more radical in his departures from Roman and Anglican Christianity than many others at the time, and Newton, the wild religious zealot predicting the end of the Earth, who did not emerge to public view until quite recently.

There is surprisingly little cross-referencing of themes from one area of Newton's endeavors to another. The common element across almost all of them is that of a problem-solver extraordinaire , taking on one problem at a time and staying with it until he had found, usually rather promptly, a solution. All of his technical writings display this, but so too does his unpublished manuscript reconstructing Solomon's Temple from the biblical account of it and his posthumously published Chronology of the Ancient Kingdoms in which he attempted to infer from astronomical phenomena the dating of major events in the Old Testament. The Newton one encounters in his writings seems to compartmentalize his interests at any given moment. Whether he had a unified conception of what he was up to in all his intellectual efforts, and if so what this conception might be, has been a continuing source of controversy among Newton scholars.

Of course, were it not for the Principia , there would be no entry at all for Newton in an Encyclopedia of Philosophy. In science, he would have been known only for the contributions he made to optics, which, while notable, were no more so than those made by Huygens and Grimaldi, neither of whom had much impact on philosophy; and in mathematics, his failure to publish would have relegated his work to not much more than a footnote to the achievements of Leibniz and his school. Regardless of which aspect of Newton's endeavors “Newtonian” might be applied to, the word gained its aura from the Principia . But this adds still a further complication, for the Principia itself was substantially different things to different people. The press-run of the first edition (estimated to be around 300) was too small for it to have been read by all that many individuals. The second edition also appeared in two pirated Amsterdam editions, and hence was much more widely available, as was the third edition and its English (and later French) translation. The Principia , however, is not an easy book to read, so one must still ask, even of those who had access to it, whether they read all or only portions of the book and to what extent they grasped the full complexity of what they read. The detailed commentary provided in the three volume Jesuit edition (1739–42) made the work less daunting. But even then the vast majority of those invoking the word “Newtonian” were unlikely to have been much more conversant with the Principia itself than those in the first half of the 20th century who invoked ‘relativity’ were likely to have read Einstein's two special relativity papers of 1905 or his general relativity paper of 1916. An important question to ask of any philosophers commenting on Newton is, what primary sources had they read?

The 1740s witnessed a major transformation in the standing of the science in the Principia . The Principia itself had left a number of loose-ends, most of them detectable by only highly discerning readers. By 1730, however, some of these loose-ends had been cited in Bernard le Bovier de Fontenelle's elogium for Newton [ 4 ] and in John Machin's appendix to the 1729 English translation of the Principia , raising questions about just how secure Newton's theory of gravity was, empirically. The shift on the continent began in the 1730s when Maupertuis convinced the Royal Academy to conduct expeditions to Lapland and Peru to determine whether Newton's claims about the non-spherical shape of the Earth and the variation of surface gravity with latitude are correct. Several of the loose-ends were successfully resolved during the 1740's through such notable advances beyond the Principia as Clairaut's Théorie de la Figure de la Terre ; the return of the expedition from Peru; d'Alembert's 1749 rigid-body solution for the wobble of the Earth that produces the precession of the equinoxes; Clairaut's 1749 resolution of the factor of 2 discrepancy between theory and observation in the mean motion of the lunar apogee, glossed over by Newton but emphasized by Machin; and the prize-winning first ever successful description of the motion of the Moon by Tobias Mayer in 1753, based on a theory of this motion derived from gravity by Euler in the early 1750s taking advantage of Clairaut's solution for the mean motion of the apogee.

Euler was the central figure in turning the three laws of motion put forward by Newton in the Principia into Newtonian mechanics. These three laws, as Newton formulated them, apply to “point-masses,” a term Euler had put forward in his Mechanica of 1736. Most of the effort of eighteenth century mechanics was devoted to solving problems of the motion of rigid bodies, elastic strings and bodies, and fluids, all of which require principles beyond Newton's three laws. From the 1740s on this led to alternative approaches to formulating a general mechanics, employing such different principles as the conservation of vis viva , the principle of least action, and d'Alembert's principle. The “Newtonian” formulation of a general mechanics sprang from Euler's proposal in 1750 that Newton's second law, in an F=ma formulation that appears nowhere in the Principia , could be applied locally within bodies and fluids to yield differential equations for the motions of bodies, elastic and rigid, and fluids. During the 1750s Euler developed his equations for the motion of fluids, and in the 1760s, his equations of rigid-body motion. What we call Newtonian mechanics was accordingly something for which Euler was more responsible than Newton.

Although some loose-ends continued to defy resolution until much later in the eighteenth century, by the early 1750s Newton's theory of gravity had become the accepted basis for ongoing research among almost everyone working in orbital astronomy. Clairaut's successful prediction of the month of return of Halley's comet at the end of this decade made a larger segment of the educated public aware of the extent to which empirical grounds for doubting Newton's theory of gravity had largely disappeared. Even so, one must still ask of anyone outside active research in gravitational astronomy just how aware they were of the developments from ongoing efforts when they made their various pronouncements about the standing of the science of the Principia among the community of researchers. The naivety of these pronouncements cuts both ways: on the one hand, they often reflected a bloated view of how secure Newton's theory was at the time, and, on the other, they often underestimated how strong the evidence favoring it had become. The upshot is a need to be attentive to the question of what anyone, even including Newton himself, had in mind when they spoke of the science of the Principia .

To view the seventy years of research after Newton died as merely tying up the loose-ends of the Principia or as simply compiling more evidence for his theory of gravity is to miss the whole point. Research predicated on Newton's theory had answered a huge number of questions about the world dating from long before it. The motion of the Moon and the trajectories of comets were two early examples, both of which answered such questions as how one comet differs from another and what details make the Moon's motion so much more complicated than that of the satellites of Jupiter and Saturn. In the 1770s Laplace had developed a proper theory of the tides, reaching far beyond the suggestions Newton had made in the Principia by including the effects of the Earth's rotation and the non-radial components of the gravitational forces of the Sun and Moon, components that dominate the radial component that Newton had singled out. In 1786 Laplace identified a large 900 year fluctuation in the motions of Jupiter and Saturn arising from quite subtle features of their respective orbits. With this discovery, calculation of the motion of the planets from the theory of gravity became the basis for predicting planet positions, with observation serving primarily to identify further forces not yet taken into consideration in the calculation. These advances in our understanding of planetary motion led Laplace to produce the four principal volumes of his Traité de mécanique céleste from 1799 to 1805, a work collecting in one place all the theoretical and empirical results of the research predicated on Newton's Principia . From that time forward, Newtonian science sprang from Laplace's work, not Newton's.

The success of the research in celestial mechanics predicated on the Principia was unprecedented. Nothing of comparable scope and accuracy had ever occurred before in empirical research of any kind. That led to a new philosophical question: what was it about the science of the Principia that enabled it to achieve what it did? Philosophers like Locke and Berkeley began asking this question while Newton was still alive, but it gained increasing force as successes piled on one another over the decades after he died. This question had a practical side, as those working in other fields like chemistry pursued comparable success, and others like Hume and Adam Smith aimed for a science of human affairs. It had, of course, a philosophical side, giving rise to the subdiscipline of philosophy of science, starting with Kant and continuing throughout the nineteenth century as other areas of physical science began showing similar signs of success. The Einsteinian revolution in the beginning of the twentieth century, in which Newtonian theory was shown to hold only as a limiting case of the special and general theories of relativity, added a further twist to the question, for now all the successes of Newtonian science, which still remain in place, have to be seen as predicated on a theory that holds only to high approximation in parochial circumstances.

The extraordinary character of the Principia gave rise to a still continuing tendency to place great weight on everything Newton said. This, however, was, and still is, easy to carry to excess. One need look no further than Book 2 of the Principia to see that Newton had no more claim to being somehow in tune with nature and the truth than any number of his contemporaries. Newton's manuscripts do reveal an exceptional level of attention to detail of phrasing, from which we can rightly conclude that his pronouncements, especially in print, were generally backed by careful, self-critical reflection. But this conclusion does not automatically extend to every statement he ever made. We must constantly be mindful of the possibility of too much weight being placed, then or now, on any pronouncement that stands in relative isolation over his 60 year career; and, to counter the tendency to excess, we should be even more vigilant than usual in not losing sight of the context, circumstantial as well as historical and textual, of both Newton's statements and the eighteenth century reaction to them.

• Westfall, Richard S., 1980, Never At Rest: A Biography of Isaac Newton , New York: Cambridge University Press.
• Hall, A. Rupert, 1992 , Isaac Newton: Adventurer in Thought , Oxford: Blackwell.
• Feingold, Mordechai, 2004 , The Newtonian Moment: Isaac Newton and the Making of Modern Culture , Oxford: Oxford University Press.
• Iliffe, Rob, 2007, Newton: A Very Short Introduction Oxford: Oxford University Press.
• Cohen, I. B. and Smith, G. E., 2002, The Cambridge Companion to Newton , Cambridge: Cambridge University Press.
• Cohen, I. B. and Westfall, R. S., 1995, Newton: Texts, Backgrounds, and Commentaries , A Norton Critical Edition, New York: Norton.

How to cite this entry . Preview the PDF version of this entry at the Friends of the SEP Society . Look up topics and thinkers related to this entry at the Internet Philosophy Ontology Project (InPhO). Enhanced bibliography for this entry at PhilPapers , with links to its database.

• MacTutor History of Mathematics Archive
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• The Chymistry of Isaac Newton , Digital Library at Indiana

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Biography Online

Biography Sir Isaac Newton

Early Life of Newton

Sir Isaac Newton was born on Christmas Day, in 1643, to a relatively poor farming family. His father died three months before he was born. His mother later remarried, but her second husband did not get on with Isaac; leading to friction between Isaac and his parents. The young Isaac attended school at King’s School, Grantham in Lincolnshire (where his signature is still inscribed on the walls.) Isaac was one of the top students, but before completing his studies his mother withdrew him from school, so Isaac could work as a farmer. It was only through the intervention of the headmaster that Isaac was able to return to finish his studies; he passed his final exams with very good results and was able to go to Trinity College, Cambridge.

Newton at Cambridge

Sir Isaac Newton, has been referred to as one of the greatest geniuses of history. His mathematical and scientific achievements give credence to such a view. His many accomplishments in the field of science include:

Developing a theory of calculus . Unfortunately, at the same time as Newton, calculus was being developed by Leibniz.  When Leibniz published his results, there was a bitter feud between the two men, with Newton claiming plagiarism. This bitter feud lasted until Leibniz death in 1713, it also extended between British mathematicians and the continent.

Mathematical achievements of Newton

• Generalized binomial theorem
• Newton’s identities,
• Newton’s method,
• Classified cubic plane curves (polynomials of degree three in two variables),
• Substantial contributions to the theory of finite differences,
• Use of fractional indices
• Used geometry to derive solutions to Diophantine equations.
• Used power series with confidence and to revert power series.
• Discovered a new formula for pi.

Scientific Achievements of Newton

• Optics – Newton made great advancements in the study of optics. In particular, he developed the spectrum by splitting white light through a prism.
• Telescope – Made significant improvements to the development of the telescope. However, when his ideas were criticised by Hooke, Newton withdrew from the public debate. He developed an antagonistic and hostile attitude to Hooke, throughout his life.
• Mechanics and Gravitation . In his famous book Principia Mathematica . (1687) Newton explained the three laws of motion that laid the framework for modern physics. This involved explaining planetary movements.

Newton hit on the head with an Apple

The most popular anecdote about Sir Isaac Newton is the story of how the theory of gravitation came to him, after being hit on the head with a falling apple. In reality, Newton and his friends may have exaggerated this story. Nevertheless, it is quite likely that seeing apples fall from trees may have influenced his theories of gravity.

Newton’s Religious Beliefs

As well as being a scientist, Newton actually spent more time investigating religious issues. He read the Bible daily, believing it to be the word of God. Nevertheless, he was not satisfied with the Christian interpretations of the Bible. For example, he rejected the philosophy of the Holy Trinity; his beliefs were closer to the Christian beliefs in Arianism (basically there was a difference between Jesus Christ and God)

Newton – Bible Code

Newton was fascinated with the early Church and also the last chapter of the Bible Revelations. He spent many hours poring over the Bible, trying to find the secret Bible Code. He was rumoured to be a Rosicrucian. The religious beliefs that Newton held could have caused serious embarrassment at the time. Because of this, he kept his views hidden, almost to the point of obsession. This desire for secrecy seemed to be part of his nature. It was only on his death that his papers were opened up. The bishop who first opened Newton’s box, actually found them too shocking for public release, therefore, they were kept closed for many more years.

Newton and Alchemy

Newton was also interested in alchemy. He experimented on many objects, using a lot of Mercury. Very high levels of mercury in his bloodstream may have contributed to his early death and irregularities in later life.

Newton was made a member of the Royal Society in 1703. He was also given the job of Master of Mint in 1717. He took this job seriously and unofficially was responsible for moving England from the silver standard to the gold standard.

Newton was an extraordinary polymath; the universe simply fascinated him. He sought to discover the hidden and outer mysteries of life. With his sharp intellect and powers of concentration, he was able to contribute to tremendous developments in many areas of science. He was a unique individual. John Maynard Keynes , a twentieth-century genius, said of Newton:

“I do not think that any one who has pored over the contents of that box which he packed up when he finally left Cambridge in 1696 and which, though partly dispersed, have come down to us, can see him like that. Newton was not the first of the age of reason. He was the last of the magicians, the last of the Babylonians and Sumerians, the last great mind which looked out on the visible and intellectual world with the same eyes as those who began to build our intellectual inheritance rather less than 10,000 years ago. Isaac Newton, a posthumous child born with no father on Christmas Day, 1642, was the last wonderchild to whom the Magi could do sincere and appropriate homage.” [1]

Citation: Pettinger, Tejvan . “Biography of Sir Isaac Newton”, Oxford, www.biographyonline.net , 18th May. 2009. Last updated 28 Feb 2018.

Further reading: Interesting facts about Isaac Newton

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[1] Keynes on Newton the Man

Isaac Newton

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Isaac Newton (1642-1727) was an English mathematician and physicist widely regarded as the single most important figure in the Scientific Revolution for his three laws of motion and universal law of gravity. Newton's laws became a fundamental foundation of physics, while his discovery that white light is made up of a rainbow of colours revolutionised the field of optics.

Isaac Newton was born on 25 December 1642. His family in Woolsthorpe, Lincolnshire, was of the yeomanry class, but it was clear that Isaac was destined for a career other than farming. Isaac's father died a few months before he was born, and his stepfather, a minister, died when he was 14. His mother was Hannah Ayscough, and her second husband insisted that Isaac be separated from his mother for a number of years. Some historians have read into this period of neglect the cause of Newton's notoriously prickly character and hypersensitivity to criticism later in life.

The young Isaac had a prodigious interest in all things mechanical, and he made several working models of his own, but he did not do particularly well at school. He was mischievous and once sent out into the night sky a series of candle-lit lanterns, which startled the local villagers into thinking a shower of comets was about to strike them down. An uncle of Isaac was adamant he was sent to study law at Trinity College, Cambridge, in June 1661. It was not law, though, but mathematics at which the young scholar excelled.

Isaac supplemented his orthodox education by taking private lessons with the mathematician and theologian Isaac Barrow (1630-1677). Barrow would later recommend Newton for his own soon-to-be-vacant chair at Trinity College. Newton graduated in April 1665, but any hope of a quick career launch was scuppered when there was an outbreak of the Black Death plague . Isaac was obliged to return to the family home in Woolthorpe for a year or more.

Newton's Approach to Knowledge

Isaac did not waste his year of forced seclusion as he launched into a series of scientific investigations, so much so that he described 1665 to 1666 as his "year of wonder" (Burns, 217). Newton discovered "the binomial theory, the differential and integral calculus, and the refraction of light, and he began to work out the theory of universal gravitation" ( ibid ). Heady stuff. Newton was determined to use all manner of methodologies and thinking, from alchemy to mechanical philosophy , in order to find out scientific truths that can be expressed mathematically. To this end, he relentlessly squirrelled away kernels of ancient and contemporary knowledge, experimentation, and even lore in a few select and very private leather-bound volumes, thus preserving his findings for later consumption when his scientific theories became clearer. As Newton himself once stated in a private letter, "If I have seen further it is by standing on the shoulders of giants" (Wootton, 341).

Newton was also a Protestant Christian (although an unorthodox one in private) and saw no conflict in his endeavours to explain why things happened the way they do in the physical world with the story of the Bible . Indeed, the imperfections of the physical world his theories proved all required, Newton said, a Creator to adjust them every now and then. Some Christians saw this as denying the perfection of the Creator, others saw it as support for having a Creator in the first place. For Newton, space was "an eminent effect of God ," and "he seems to have gone so far as to later identify space with the immensity of God, so that the biblical pronouncements that 'In Him we live, and move, and have our being' (Acts 17:28) was taken quite literally" (Henry, 89).

Like many thinkers of the time, Newton was convinced that great knowledge had been gained and then lost over the centuries and so careful research of past intellectual endeavours was essential in order to recapture this lost wisdom (known as prisca sapientia ). This belief in a lost or secret knowledge – a peculiar eccentricity for a scientist – may also explain why Newton was notoriously reticent to publish his own discoveries. He seemed to relish secrecy, just as was the tradition of the great alchemists of the Middle Ages. Fortunately for the progress of humanity, Newton did eventually make his ground-breaking research public.

Newton's Spectrum of Light

Newton did not find the esteemed Royal Society very receptive to his new ideas, particularly on optics, and so he got his foot in the door of that institution by designing a reflective telescope in 1668. This type of telescope used a curved mirror made of a tin and copper alloy, which improved the clarity of the image seen by reducing chromatic aberration, that is, when all colours fail to converge in a single point (a problem of glass lenses at the time). Newton's telescope had a magnification of 40 times and was ten times shorter than the standard refracting telescope of the same strength would have been. The Royal Society was hooked, and Newton was elected to that learned body in 1672; he then submitted his research on optics, which had, in fact, made his super-duper telescope possible.

Between 1666 and 1668, Newton had conducted optical experiments where he captured a narrow beam of light through an aperture, which was then projected onto a wall in a dark room. The light was made to shine through a prism. Others had done this sort of thing before, but, significantly, Newton put his prism near the hole and far from the wall on which was projected a block of rainbow colours: red, orange, yellow, green, blue, indigo, and violet. Even more crucial – in what he called his experimentum crucis – Newton then had various colour beams of the split white light go through a second prism, and these left that second prism the same colour as they entered, i.e. they could not be split further. Newton was thus able to develop a new theory of light, which was that white light is made up of a spectrum of different colours, each with a different angle of refraction, just like a rainbow one could see in the sky after a shower of rain. In the rainbow in the sky, drops of water function as a prism, that is, the white light is refracted. Newton also discovered that in the tiny airspace between a lens and a sheet of glass, coloured concentric rings can be seen, and these are now called Newton's rings.

Newton's idea of heterogeneous light, published in Philosophical Transactions in 1672, went directly against the standard theory of the time, which was the inverse of Newton's. Champions of the standard theory included Robert Hooke (1635-1703), who dismissed Newton's theory and later even accused him of plagiarism (without foundation). Newton, who was "of somewhat paranoid temperament" (Burns, 73) and "socially dysfunctional" (Jardine, 36), promptly withdrew from the Royal Society and would not even accept its presidency until Hooke had departed this earth. In 1704, Newton finally published his work on light in detail in his Optics . It took some time for Newton's theory to become widely accepted, but it is now a cornerstone of the science of optics.

Newton's Law of Gravity

The German astronomer Johannes Kepler created the most accurate yet system of planetary astronomy, with the heavenly bodies moving in elliptical orbits around the Sun and not the traditional model of perfect circles as proposed by thinkers from Claudius Ptolemy (c. 100 to c. 170) to Nicolaus Copernicus (1473-1543). The discovery that the planets increased their speed as they drew closer to the Sun was essential for Newton to build his own work upon. Newton's law of gravity would provide the cause for Kepler's keen observations of elliptical planetary motions. Encouraged, both with words and money, by his good friend Edmund Halley (1656-1742), Newton finally presented his theory of gravity in Mathematical Principles of Natural Philosophy ( Philosophiae Naturalis Principia Mathematica ), published in 1687.

The effects of gravity have been known since antiquity. Ancient thinkers formed theories as to why objects fell to the ground, the most common being that this was because Earth was the very centre of the universe and so some mysterious force attracted all objects to the central point. Similarly, thinkers like Galileo Galilei (1564-1642) had pondered what kind of force was responsible for the Sun seemingly pulling orbiting planets more speedily to its centre the closer they got to it. Magnetism was often suggested as the answer, but many thinkers remained unconvinced.

An apple may not have actually fallen from a branch and hit Newton on the head, but it does seem that his observation of fruit falling set him pondering what force was involved and how to measure it. Newton had also noticed many other 'attractions' and 'repulsions' between many other objects and substances, and so he began to formulate a theory that could measure such phenomena and finally bring together (or at least reconcile) two ancient but often opposing strands of human thought: mechanics and mathematics.

In his Principia , Newton put forward his theory of universal gravitation, but first, he presented a system of mathematical laws, which became known as 'Newton's laws of motion', here summarised by W. E. Burns:

That there is an attractive force between bodies that varies with the inverse square of the distance between them – and Newton's three laws of motion – 1. a body at rest or in motion in a straight path will tend to stay in that state, 2. a change of motion in a body varies with the force impressed, and 3. each action has an equal and opposite reaction. (218)

Newton then presented his theory of gravity:

That between any two bodies in the universe there exists a force directly proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance. (Burns, 245)

Newton's theory of gravity was universal because it applied to everything from spinning planets to the movement of comets to the tides of the sea to that apocryphal apple dropping from a tree. The law of gravity (actually called a 'law' by Newton only in his later Optics ) applied equally to terrestrial affairs and to the heavens. Newton could now make accurate predictions of the effects of gravity. This was a new science. Of course, not everyone immediately adopted Newton's theories. The mechanical philosophers and the Cartesian followers of René Descartes (1596-1650), for example, could not accept that one physical body can affect another body without something, a third element, touching the two. Put simply, gravity was rather mysterious, since nobody, not even Newton, knew where it came from, why it exists, and who or what ensures its persistence. Contemplation on this fact and the inference that these forces act without any consideration of humanity led in some ways to a disenchantment regarding a new and pitiless world, at least for those who did not believe that a god of some kind was behind it all.

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Recognition: The Greatest Scientist

Newton's work on gravity was ultimately well received, particularly in England , and he was made a fellow of Trinity College in 1687. Two years later, Newton became the Lucasian Professor of Mathematics there. A circle of devoted international followers sprang up around Newton, including the Swiss mathematician Nicolas Fatio de Duillier (1664-1753), who became very close to him. From 1688, Newton became ambitious to forge a political career. The scientist had hoped to move to London but suffered a nervous breakdown in 1693, perhaps because of the end of his relationship with Fatio de Duillier but certainly made worse by his chronic insomnia and possibly even a consequence of mercury poisoning, a key ingredient of Newton's experiments in alchemy. Recovered by 1696, Newton was made the warden of the royal mint in the Tower of London , which carried with it both prestige and a handsome salary. Newton, taking a hands-on approach which had not been required for what was, in effect, an honorary position, impressed his employers so much that he was made the mint master in 1699. He performed the role with remarkable dedication for the next 28 years, much to the chagrin of the countless counterfeiters he identified (who were then invariably hanged).

It was also in 1699 that Newton was appointed a member of the French Royal Academy of Sciences, the first foreigner to gain entry. In 1703, he was elected President of the Royal Society, and he used his position to skew the society's endeavours much more towards practical experimentation (as opposed to merely reading the academic papers of others) throughout his tenure, which ended in 1727. Less admirable was his ongoing feud with the German mathematician Gottfried Wilhelm Leibniz , which significantly held back mathematics in Britain . Newton accused Leibniz of plagiarising his work on the calculus (a mathematical tool for calculating curves and their areas). In reality, both men had developed the calculus independently, and although most historians consider Newton to have got there first, Leibniz's version was superior. Newton was knighted by Anne, Queen of Great Britain (r. 1702-1714) in 1705, probably more for his service in the royal mint than his tremendous contribution to science, but, nevertheless, it was a memorable moment for all scientists past and present since he was the first to be so honoured.

Death & Legacy

Newton was famous in his own lifetime for his discoveries, as we have seen with his various appointments to prestigious institutions at home and abroad. Rather oddly for a man so associated with science, Newton spent his final years studying biblical prophecies, an area he believed was just as valid as scientific experimentation. Sir Isaac Newton died of kidney failure on 20 March 1727; he was 84 years old. He had never married and left no children. Newton was given a state funeral and buried in Westminster Abbey. Alexander Pope provided the memorable epitaph:

Nature and Nature's Laws lay hid by Night: GOD said, Let Newton be! And all was Light. (Wootton, 361)

Newton, in one of those statements he frequently made where one wonders if he is being genuinely modest, remarked upon his career and discoveries in the following terms:

I don't know what I may seem to the world but, as to myself, I seem to have been only like a boy playing on the sea-shore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me. (Gleick, 4)

There would be many more breakthroughs in science after Newton, but nothing as revolutionary as his work until the development in the 20th century of relativity and quantum physics.

There developed a definite movement, known as Newtonianism, which pushed the idea that scientific knowledge should be presented as a series of mathematical laws which could predict tendencies of motion in relation to hypothetical accelerative forces. In addition, because Newton's research was so complex and inaccessible to the majority, a great number of writers sprang up who simplified Newton's work so that it could be understood by the reasonably well-educated. Newtonianism gradually spread across Europe to become the dominant approach in universities and amongst intellectuals. Newton's approach to knowledge, spread to new minds by such thinkers as Voltaire (1694-1778) in his Elements of Newton's Philosophy (1738), was an important part of the Enlightenment movement, where the improvement of the human condition became the ultimate goal of philosophy and science, despite Newton having split those two disciplines apart forever. Even that great modern genius Albert Einstein (1879-1955), with his new theory of relativity, could not overthrow Newtonianism but only extend it to new and bold horizons. As Einstein once said of Newton: "He stands before us strong, certain, and alone" (Gleick, 9).

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Bibliography

• Burns, William E. The Scientific Revolution in Global Perspective. Oxford University Press, 2015.
• Burns, William E. The Scientific Revolution. ABC-CLIO, 2001.
• Bynum, William F. & Browne, Janet & Porter, Roy. Dictionary of the History of Science . Princeton University Press, 1982.
• Gleick, James. Isaac Newton. Vintage Books, 2023.
• Henry. The Scientific Revolution and the Origins of Modern Science . Red Globe Press, 2008.
• Jardine, Lisa. Ingenious Pursuits. Anchor, 2000.
• Moran, Bruce T. Distilling Knowledge. Harvard University Press, 2005.
• Wootton, David. The Invention of Science. Penguin UK, 2023.

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I  INTRODUCTION

Newton, Sir Isaac (1642-1727), mathematician and physicist, one of the foremost scientific intellects of all time. Born at Woolsthorpe, near Grantham in Lincolnshire, where he attended school, he entered Cambridge University in 1661; he was elected a Fellow of Trinity College in 1667, and Lucasian Professor of Mathematics in 1669. He remained at the university, lecturing in most years, until 1696. Of these Cambridge years, in which Newton was at the height of his creative power, he singled out 1665-1666 (spent largely in Lincolnshire because of plague in Cambridge) as “the prime of my age for invention”. During two to three years of intense mental effort he prepared  Philosophiae Naturalis Principia Mathematica  ( Mathematical Principles of Natural Philosophy ) commonly known as the  Principia,  although this was not published until 1687.

As a firm opponent of the attempt by King James II to make the universities into Catholic institutions, Newton was elected Member of Parliament for the University of Cambridge to the Convention Parliament of 1689, and sat again in 1701-1702. Meanwhile, in 1696 he had moved to London as Warden of the Royal Mint. He became Master of the Mint in 1699, an office he retained to his death. He was elected a Fellow of the Royal Society of London in 1671, and in 1703 he became President, being annually re-elected for the rest of his life. His major work,  Opticks,  appeared the next year; he was knighted in Cambridge in 1705.

As Newtonian science became increasingly accepted on the Continent, and especially after a general peace was restored in 1714, following the War of the Spanish Succession, Newton became the most highly esteemed natural philosopher in Europe. His last decades were passed in revising his major works, polishing his studies of ancient history, and defending himself against critics, as well as carrying out his official duties. Newton was modest, diffident, and a man of simple tastes. He was angered by criticism or opposition, and harboured resentment; he was harsh towards enemies but generous to friends. In government, and at the Royal Society, he proved an able administrator. He never married and lived modestly, but was buried with great pomp in Westminster Abbey.

Newton has been regarded for almost 300 years as the founding examplar of modern physical science, his achievements in experimental investigation being as innovative as those in mathematical research. With equal, if not greater, energy and originality he also plunged into chemistry, the early history of Western civilization, and theology; among his special studies was an investigation of the form and dimensions, as described in the Bible, of Solomon’s Temple in Jerusalem.

In 1664, while still a student, Newton read recent work on optics and light by the English physicists Robert Boyle and Robert Hooke; he also studied both the mathematics and the physics of the French philosopher and scientist René Descartes. He investigated the refraction of light by a glass prism; developing over a few years a series of increasingly elaborate, refined, and exact experiments, Newton discovered measurable, mathematical patterns in the phenomenon of colour. He found white light to be a mixture of infinitely varied coloured rays (manifest in the rainbow and the spectrum), each ray definable by the angle through which it is refracted on entering or leaving a given transparent medium. He correlated this notion with his study of the interference colours of thin films (for example, of oil on water, or soap bubbles), using a simple technique of extreme acuity to measure the thickness of such films. He held that light consisted of streams of minute particles. From his experiments he could infer the magnitudes of the transparent “corpuscles” forming the surfaces of bodies, which, according to their dimensions, so interacted with white light as to reflect, selectively, the different observed colours of those surfaces.

The roots of these unconventional ideas were with Newton by about 1668; when first expressed (tersely and partially) in public in 1672 and 1675, they provoked hostile criticism, mainly because colours were thought to be modified forms of homogeneous white light. Doubts, and Newton’s rejoinders, were printed in the learned journals. Notably, the scepticism of Christiaan Huygens and the failure of the French physicist Edmé Mariotte to duplicate Newton’s refraction experiments in 1681 set scientists on the Continent against him for a generation. The publication of  Opticks,  largely written by 1692, was delayed by Newton until the critics were dead. The book was still imperfect: the colours of diffraction defeated Newton. Nevertheless,  Opticks  established itself, from about 1715, as a model of the interweaving of theory with quantitative experimentation.

III  MATHEMATICS

In mathematics too, early brilliance appeared in Newton’s student notes. He may have learnt geometry at school, though he always spoke of himself as self-taught; certainly he advanced through studying the writings of his compatriots William Oughtred and John Wallis, and of Descartes and the Dutch school. Newton made contributions to all branches of mathematics then studied, but is especially famous for his solutions to the contemporary problems in analytical geometry of drawing tangents to curves (differentiation) and defining areas bounded by curves (integration). Not only did Newton discover that these problems were inverse to each other, but he discovered general methods of resolving problems of curvature, embraced in his “method of fluxions” and “inverse method of fluxions”, respectively equivalent to Leibniz’s later differential and integral calculus. Newton used the term “fluxion” (from Latin meaning “flow”) because he imagined a quantity “flowing” from one magnitude to another. Fluxions were expressed algebraically, as Leibniz’s differentials were, but Newton made extensive use also (especially in the  Principia ) of analogous geometrical arguments. Late in life, Newton expressed regret for the algebraic style of recent mathematical progress, preferring the geometrical method of the Classical Greeks, which he regarded as clearer and more rigorous.

Newton’s work on pure mathematics was virtually hidden from all but his correspondents until 1704, when he published, with  Opticks , a tract on the quadrature of curves (integration) and another on the classification of the cubic curves. His Cambridge lectures, delivered from about 1673 to 1683, were published in 1707.

The Calculus Priority Dispute

Newton had the essence of the methods of fluxions by 1666. The first to become known, privately, to other mathematicians, in 1668, was his method of integration by infinite series. In Paris in 1675 Gottfried Wilhelm Leibniz independently evolved the first ideas of his differential calculus, outlined to Newton in 1677. Newton had already described some of his mathematical discoveries to Leibniz, not including his method of fluxions. In 1684 Leibniz published his first paper on calculus; a small group of mathematicians took up his ideas.

In the 1690s Newton’s friends proclaimed the priority of Newton’s methods of fluxions. Supporters of Leibniz asserted that he had communicated the differential method to Newton, although Leibniz had claimed no such thing. Newtonians then asserted, rightly, that Leibniz had seen papers of Newton’s during a London visit in 1676; in reality, Leibniz had taken no notice of material on fluxions. A violent dispute sprang up, part public, part private, extended by Leibniz to attacks on Newton’s theory of gravitation and his ideas about God and creation; it was not ended even by Leibniz’s death in 1716. The dispute delayed the reception of Newtonian science on the Continent, and dissuaded British mathematicians from sharing the researches of Continental colleagues for a century.

IV  MECHANICS AND GRAVITATION

According to the well-known story, it was on seeing an apple fall in his orchard at some time during 1665 or 1666 that Newton conceived that the same force governed the motion of the Moon and the apple. He calculated the force needed to hold the Moon in its orbit, as compared with the force pulling an object to the ground. He also calculated the centripetal force needed to hold a stone in a sling, and the relation between the length of a pendulum and the time of its swing. These early explorations were not soon exploited by Newton, though he studied astronomy and the problems of planetary motion.

Correspondence with Hooke (1679-1680) redirected Newton to the problem of the path of a body subjected to a centrally directed force that varies as the inverse square of the distance; he determined it to be an ellipse, so informing Edmond Halley in August 1684. Halley’s interest led Newton to demonstrate the relationship afresh, to compose a brief tract on mechanics, and finally to write the  Principia.

Book I of the  Principia  states the foundations of the science of mechanics, developing upon them the mathematics of orbital motion round centres of force. Newton identified gravitation as the fundamental force controlling the motions of the celestial bodies. He never found its cause. To contemporaries who found the idea of attractions across empty space unintelligible, he conceded that they might prove to be caused by the impacts of unseen particles.

Book II inaugurates the theory of fluids: Newton solves problems of fluids in movement and of motion through fluids. From the density of air he calculated the speed of sound waves.

Book III shows the law of gravitation at work in the universe: Newton demonstrates it from the revolutions of the six known planets, including the Earth, and their satellites. However, he could never quite perfect the difficult theory of the Moon’s motion. Comets were shown to obey the same law; in later editions, Newton added conjectures on the possibility of their return. He calculated the relative masses of heavenly bodies from their gravitational forces, and the oblateness of Earth and Jupiter, already observed. He explained tidal ebb and flow and the precession of the equinoxes from the forces exerted by the Sun and Moon. All this was done by exact computation.

Newton’s work in mechanics was accepted at once in Britain, and universally after half a century. Since then it has been ranked among humanity’s greatest achievements in abstract thought. It was extended and perfected by others, notably Pierre Simon de Laplace, without changing its basis and it survived into the late 19th century before it began to show signs of failing.  See  Quantum Theory; Relativity.

V  ALCHEMY AND CHEMISTRY

Newton left a mass of manuscripts on the subjects of alchemy and chemistry, then closely related topics. Most of these were extracts from books, bibliographies, dictionaries, and so on, but a few are original. He began intensive experimentation in 1669, continuing till he left Cambridge, seeking to unravel the meaning that he hoped was hidden in alchemical obscurity and mysticism. He sought understanding of the nature and structure of all matter, formed from the “solid, massy, hard, impenetrable, movable particles” that he believed God had created. Most importantly in the “Queries” appended to “Opticks” and in the essay “On the Nature of Acids” (1710), Newton published an incomplete theory of chemical force, concealing his exploration of the alchemists, which became known a century after his death.

VI  HISTORICAL AND CHRONOLOGICAL STUDIES

Newton owned more books on humanistic learning than on mathematics and science; all his life he studied them deeply. His unpublished “classical scholia”—explanatory notes intended for use in a future edition of the  Principia —reveal his knowledge of pre-Socratic philosophy; he read the Fathers of the Church even more deeply. Newton sought to reconcile Greek mythology and record with the Bible, considered the prime authority on the early history of mankind. In his work on chronology he undertook to make Jewish and pagan dates compatible, and to fix them absolutely from an astronomical argument about the earliest constellation figures devised by the Greeks. He put the fall of Troy at 904 BC, about 500 years later than other scholars; this was not well received.

VII  RELIGIOUS CONVICTIONS AND PERSONALITY

Newton also wrote on Judaeo-Christian prophecy, whose decipherment was essential, he thought, to the understanding of God. His book on the subject, which was reprinted well into the Victorian Age, represented lifelong study. Its message was that Christianity went astray in the 4th century AD, when the first Council of Nicaea propounded erroneous doctrines of the nature of Christ. The full extent of Newton’s unorthodoxy was recognized only in the present century: but although a critic of accepted Trinitarian dogmas and the Council of Nicaea, he possessed a deep religious sense, venerated the Bible and accepted its account of creation. In late editions of his scientific works he expressed a strong sense of God’s providential role in nature.

VIII  PUBLICATIONS

Newton published an edition of  Geographia generalis  by the German geographer Varenius in 1672. His own letters on optics appeared in print from 1672 to 1676. Then he published nothing until the  Principia  (published in Latin in 1687; revised in 1713 and 1726; and translated into English in 1729). This was followed by  Opticks  in 1704; a revised edition in Latin appeared in 1706. Posthumously published writings include  The Chronology of Ancient Kingdoms Amended  (1728),  The System of the World  (1728), the first draft of Book III of the  Principia , and  Observations upon the Prophecies of Daniel and the Apocalypse of St John  (1733).

Contributed By: Alfred Rupert Hall

“Sir Isaac Newton” Microsoft® Encarta®. Copyright © 1998 Microsoft Corporation.

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Isaac Newton

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• Piers Landon-Lane
• Infinity Mathematics
• July Thomas

Sir Isaac Newton (1642-1727) was one of the world's most famous and influential thinkers. He founded the fields of classical mechanics, optics and calculus, among other contributions to algebra and thermodynamics. His concept of a universal law--one that applies everywhere and to all things--set the bar of ambition for physicists since.

Newton held the position of Lucasian Professor of Mathematics at Cambridge University in England, a prestigious professorship later shared by Charles Babbage, George Gabriel Stokes , and Stephen Hawking , among others.

Generalized Binomial Theorem

Newton's laws of motion, gravitation, law of cooling, work outside science and mathematics.

The binomial theorem is a formula used to expand out expressions of the form \((x + y)^{r}\).

While Blaise Pascal had already developed the binomial theorem for the case where \(r\) is a nonnegative integer, Newton derived the general case for which \(r\) could be any rational number in 1655, while spending time away from Cambridge avoiding an outbreak of the plague [1] :

\[(x+y)^r = \sum\limits_{k=0}^{r} {r \choose k} x^{r-k} y^{k},\]

where \({r \choose k} = \frac{r (r-1) (r-2) \ldots (r-k+1)}{k!}\). Notice that if \(r\) is an integer, \({r \choose k} = 0\) for \(k > r\). Then the infinite sum in the formula becomes a finite sum, and the expression reduces to the ordinary binomial theorem.

The expressions generated by these expansions were especially useful for calculating approximations of functions. Newton used the formula to calculate the value of \(\pi\) out to 16 decimal places [2] .

If the function \(f(x) = \sqrt{1 + x}\) is expanded out in terms of powers of \(x\) such that \(f(x) = \sum\limits_{k=0}^{\infty} a_{k} x^{k},\) what's the coefficient \(a_{3}\) of the \(x^{3}\) term?

Express your answer as an exact decimal.

Newton discovered three laws that combined would in principle determine the motion of any object. He published his laws in 1687 in the first volume of the Principia Mathematica (Latin for "Mathematical Principles"). These laws explain how any objects will move given the forces acting between them, and the initial position and velocity of the objects.

• First Law : An object moving at some velocity will stay at that velocity unless acted upon by some force.
• Second Law : The acceleration \(\vec{a}\) of an object is given by \(\vec{F} = m\vec{a}\), where \(m\) is its mass and \(\vec{F}\) is the net force on the object.
• Third Law : Every action has an equal and opposite reaction.

\(\) Wingsuits allow humans to control fall and generate lift. The wingsuit flyer above controls his direction of flight by a direct application of which of Newton's laws?

Image credit: Wikipedia

The first law was in contrast to Aristotelian mechanics, which held that every object had a natural place, and that all objects would tend to go towards their natural place. Newton replaced this goal-centered view of the world with a mechanical, local one. The laws describe a perfectly deterministic universe, one in which the motion and behavior of all objects are theoretically exactly specified given a set of initial conditions and rules for determining the force between objects.

Because of Newton's contribution to the idea of force, the metric unit for force \(\text{N} \equiv (\text{kg}\times \text{m})/\text{s}^2\) is called the Newton.

Newton's laws of motion describe how objects accelerate given specific forces. In order to determine how the position of an object changes from a description of its acceleration, Newton needed to develop a new field of mathematics known as calculus.

Solving for the position, velocity, and acceleration of a moving particle

If a particle has a constant velocity \(v\) at time \(t\), its position at a slightly later time \(t + \Delta t\) is \(x(t) + v \Delta t\). But if the particle is accelerating, this is not quite true. The velocity changes during the period \(\Delta t\). In order to account for this, the time \(\Delta t\) could be split into two intervals, and the velocity at each of those points is used to calculate the position. But this doesn't help, as again the velocity changes between \(t\) and \(t + \frac{1}{2} \Delta t\). Thinking in this way leads to an infinite regress.

Newton introduced calculus as a way of formalizing this reasoning and allowing calculations of position and velocity by considering how these functions behaved as \(\Delta t\) became very small, otherwise known as taking the limit of the function. The process of finding velocity from acceleration or position from velocity is called integration . The process of finding velocity from position or acceleration from velocity is called differentiation .

The mathematician and philosopher Gottfried Leibniz also invented calculus around the same time. There was a large fight in the scientific community over whether Leibniz or Newton had invented it first, or indeed whether one had stolen the ideas from the other. However, the consensus now is that they genuinely did develop the idea independently. Because of this, they used different notation styles for expressing calculus, both of which are in use today. In Newton's notation, the derivative of \(x\) with respect to time is given by \(\dot{x}\), whereas in Leibniz notation, the derivative is \(\frac{dx}{dt}\).

In the third volume of the Principia , Newton described his theory of universal gravitation. His two main insights were that masses attract each other along the line between them, and that every mass attracts every other mass, no matter how large or small. For instance, the force that you exert on the Earth is the same magnitude as the force the Earth exerts on you, just in the opposite direction. Mathematically, this is expressed as

\[\vec{F}_{g} = - \frac{Gm_{1}m_{2}}{r^{2}} \hat{r},\]

where \(F_{g}\) is the force of gravity, \(G\) is the gravitational constant, \(m_1\) and \(m_2\) are the masses of the two objects, and \(\hat{r}\) is the direction of the line between them. The net gravitational force on an object is the vector sum of the forces exerted on it by all other objects in the universe.

One popular story holds that Newton came up with the idea for gravitation when he was sitting under a tree and got hit on the head by an apple. This is not well supported by historical documents, but Newton did at least use falling apples as an analogy for explaining radial forces: "Therefore does this apple fall perpendicularly or towards the centre? If matter thus draws matter, it must be proportion of its quantity. Therefore the apple draws the Earth, as well as the Earth draws the apple." [3] .

While your mass is the same everywhere, your weight , which is the gravitational force you feel as a result of your mass, depends on where you are.

How much lighter are you on the top of Mount Everest than at sea level? Express your answer as the ratio of your weight on Mount Everest to your weight at sea level, to 3 decimal places.

Assume the radius of Earth at sea level is \(6.371 \times 10^6 \text{ m} \) and the height of Mt. Everest is \(8.8 \times 10^3 \text{ m} \).

Types of conic sections

Newton showed that his law could reproduce Kepler's laws of planetary motion, which described how planets move in fixed ellipses around the sun. He then generalized these laws by showing that the paths of objects acting under the gravity of the sun could be any conic sections , including ellipses, but also parabolas , hyperbolas , and lines.

Because the law of gravitation describes a force between two objects no matter how far away they are, Leibniz accused Newton of invoking "spooky action at a distance." [4] This was against a popular philosophy of science at the time, which held that all effects needed to result from local interactions. Today, Einstein's theory of general relativity has replaced Newton's theory, in some sense proving Leibniz right. General relativity agrees with many of the predictions of Newton's theory, but doesn't have action at a distance. Gravitational effects (in the form of warped spacetime) propagate at the speed of light.

Light refracting in a prism: not just an album cover

As with his laws of motion, Newton also overturned Aristotelian beliefs about light. It was thought that white light was completely pure, but Newton showed that it was composed of every other wavelength of light by refracting white light through a prism. The white light splits into distinct beams of light corresponding to all the colors of the rainbow. Newton also invented the color wheel, which arranged all those colors in order, but with violet next to red to show the way humans perceive color:

Opticks " /> Newton's depiction of the color wheel in Opticks

Newton's law of cooling holds that the rate at which an object will change temperature is directly proportional to the temperature difference between it \((T_{obj})\) and its environment \((T_{env}):\)

\[\frac{dT_{obj}}{dt} = k (T_{env} - T_{obj}).\]

If the environment remains at constant temperature, this implies that \(T_{obj}\) will asymptotically approach \(T_{env}:\)

\[T_{obj} = T_{env} + \big(T_{obj}(0) - T_{env}\big) e^{-kt},\]

which can be shown using differential equations .

A thermometer reading \(80^\circ F\) is taken outside. Five minutes later the thermometer reads \(60^\circ F\). After another 5 minutes it reads \(50^\circ F\).

What is the temperature outside \((\)in \(^\circ F)?\)

Assume that this process follows Newton's law of cooling.

In addition to his lasting scientific discoveries, Newton also investigated alchemy, the study of turning one element into another. While the techniques that Newton investigated led nowhere, alchemy was in a sense rediscovered in the form of nuclear physics. It is now strictly possible to turn lead into gold using a particle accelerator. However, at an estimated quadrillion dollars per ounce, it would be a poor financial choice [5] .

Newton was devoutly religious and would frequently study the Bible, attempting to make predictions based on its contents. He once wrote that the world would end no sooner than the year 2060 based on the Book of John [6] .

[1] Westfall, Richard. Never at Rest: A Biography of Isaac Newton. p. 143. 1983.

[2] Newton's Generalization of the Binomial Theorem . Retrieved from http://www.wwu.edu/teachingmathhistory/docs/psfile/newton1-student.pdf on February 22, 2016.

[3] Connor, Steve. The Core of Truth Behind Sir Newton's Apple. The Independent. January 17, 2010. Retrieved from http://www.independent.co.uk/news/science/the-core-of-truth-behind-sir-isaac-newtons-apple-1870915.html on February 22, 2016.

[4] Leibniz's Philosophy of Physics. Stanford Encyclopedia of Philosophy. Published December 17. 2007. Retrieved from http://plato.stanford.edu/entries/leibniz-physics/ on February 22, 2016.

[5] Matson, John. Fact Or Fiction?: Lead Can Be Turned Into Gold. Scientific American. January 31, 2014. Retrieved from http://www.scientificamerican.com/article/fact-or-fiction-lead-can-be-turned-into-gold/ on February 22, 2016.

[6] Newton, Sir Isaac. Sir Isaac Newton's Daniel and the Apocalypse. 1733. Retrieved from http://publicdomainreview.org/collections/sir-isaac-newtons-daniel-and-the-apocalypse-1733/ on February 22, 2016.

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Sir Isaac Newton biography: Inventions, laws and quotes

A short history of Sir Isaac Newton, the mathematician and physicist that helped invent and explain some of the most fundamental laws of science.

Isaac Newton's early life

• Laws of motion

Isaac Newton's apple

• Inventions and discoveries

Additional resources

Bibliography.

Sir Isaac Newton contributed significantly to the field of science over his lifetime. He invented calculus and provided a clear understanding of optics. But his most significant work had to do with forces, and specifically with the development of a universal law of gravitation and his laws of motion . 

Isaac Newton was born on Christmas Day to a poor farming family in Woolsthorpe, England, in 1642. At the time of Newton's birth England used the Julian calendar, however, when England adopted the Gregorian calendar in 1752, his birthday became 4th January 1643. 

Isaac Newton arrived in the world only a few months after his father, Isaac Newton Sr, had died. "The boy expected to live managing the farm in the place of the father he had never known," wrote James Gleick in "Isaac Newton" ( Vintage, 2004 ). 

However, when it became clear a farming life was not for him, Newton attended Trinity College in Cambridge, England. "He did not know what he wanted to be or do, but it was not tend sheep or follow the plough and the dung cart," wrote Gleick. While there, he took an interest in mathematics, optics, physics, and astronomy . 

After his graduation, he began to teach at the college and was appointed as the second Lucasian Chair there. Today, the chair is considered the most renowned academic chair in the world, held by the likes of Charles Babbage and Stephen Hawking .

In 1689, Newton was elected as a member of parliament for the university. In 1703, he was elected as president of the Royal Society, a fellowship of scientists that still exists today. He was knighted by Queen Anne in 1705. He never married.

What are Isaac Newton's laws of motion?

Newton's most famous work came with the publication of his " Philosophiae Naturalis Principia Mathematica " ("Mathematical Principles of Natural Philosophy"), generally called Principia. In it, he determined the three laws of motion for the universe .

Newton's first law describes how objects move at the same velocity unless an outside force acts upon them. (A force is something that causes or changes motion.) Thus, an object sitting on a table remains on the table until a force — the push of a hand, or gravity — acts upon it. Similarly, an object travels at the same speed unless it interacts with another force, such as friction.

His second law of motion provided a calculation for how forces interact. The law states that a force is equal to the change in the momentum (mass multiplied by velocity) per change in time. Therefore, when more force is applied to an object, its acceleration also increases, but when the mass of the object increases and the force remains constant, its acceleration decreases.

Newton's third law states that for every action in nature, there is an equal and opposite reaction. If one body applies a force on a second, then the second body exerts a force of the same strength on the first, in the opposite direction. 

From all of this, Newton calculated the universal law of gravitation. He found that as two bodies move farther away from one another, the gravitational attraction between them decreases by the inverse of the square of the distance. Thus, if the objects are twice as far apart, the gravitational force is only a fourth as strong; if they are three times as far apart, it is only a ninth of its previous power.

These laws helped scientists understand more about the motions of planets in the solar system , and of the moon around Earth.

Related: What makes Newton's laws work? Here's the simple trick.

A popular myth tells of an apple falling from a tree in Newton's garden, which brought Newton to an understanding of forces, particularly gravity. Whether the incident actually happened is unknown, but historians doubt the event — if it occurred — was the driving force in Newton's thought process.

The myth tells of Isaac Newton having returned to his family farm in Woolsthorpe, escaping Cambridge for a short time as it was dealing with a plague outbreak. As he sat in the farm's orchard, an apple fell from one of the trees (in some tellings it hit Newton on the head). Watching this happen, Newton began to consider the forces that meant the apple always fell directly towards the ground, beginning his examination of gravity.

One of the reasons that this story gained a foothold in popular understanding is that it is an anecdote Newton himself seems to have shared. "Toward the end of his life, Newton told the apple anecdote around four times, although it only became well known in the nineteenth century," wrote Patricia Fara, a historian of science at the University of Cambridge, in a chapter of " Newton's Apple and Other Myths about Science " (Harvard University Press, 2020).

However, it would be at least 20 years before Newton published his theories on gravity. It seems more likely that Newton used the story as a means of connecting the concept of gravity's impact on objects on Earth with its impact on objects in space for his contemporary audience.

The apple tree in question — known as the "Flower of Kent" — still blooms in the orchard of Woolsthorpe Manor, and is now a popular tourist attraction.  

Isaac Newton's inventions and discoveries

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While a student, Newton was forced to take a two-year hiatus when plague closed Trinity College. At home, he continued to work with optics, using a prism to separate white light, and became the first person to argue that white light was a mixture of many types of rays, rather than a single entity. He continued working with light and color over the next few years and published his findings in " Opticks " in 1704.

Disturbed by the problems with telescopes at the time, he invented the reflecting telescope, grinding the mirror and building the tube himself. Relying on a mirror rather than lenses, the telescope presented a sharper image than refracting telescopes at the time. Modern techniques have reduced the problems caused by lenses, but large telescopes such as the James Webb Space Telescope use mirrors. 

As a student, Newton studied the most advanced mathematical texts of his time. While on hiatus, he continued to study mathematics, laying the ground for differential and integral calculus. He united many techniques that had previously been considered separately, such as finding areas, tangents, and the lengths of curves. He wrote De Methodis Serierum et Fluxionum in 1671 but was unable to find a publisher.

Newton also established a cohesive scientific method, to be used across disciplines. Previous explorations of science varied depending on the field. Newton established a set format for experimentation still used today.

However, not all of Newton's ideas were quite as revolutionary. In P rincipia, Newton describes how rarefied vapor from comet tails is pulled into Earth's gravitational grasp and enables the movements of the planet's fluids along with the "most subtle and useful part of our air, and so much required to sustain the life of all things with us." 

Isaac Newton quotes

"Amicus Plato amicus Aristoteles magis amica verita."

(Plato is my friend, Aristotle is my friend, but my greatest friend is truth.)

—Written in the margin of a notebook while a student at Cambridge. In Richard S. Westfall, Never at Rest (1980), 89.

"Genius is patience."

—The Homiletic Review, Vol. 83-84 (1922), Vol. 84, 290.

"If I have seen further it is by standing on the shoulders of giants."

—Letter to Robert Hooke (5 Feb 1675-6).In H. W. Turnbull (ed.), The Correspondence of Isaac Newton, 1, 1661-1675 (1959), Vol. 1, 416.

"I see I have made my self a slave to Philosophy."

—Letter to Henry Oldenburg (18 Nov 1676). In H. W. Turnbull (ed.), The Correspondence of Isaac Newton, 1676-1687 (1960), Vol. 2, 182.

"I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me."

—First reported in Joseph Spence, Anecdotes, Observations and Characters, of Books and Men (1820), Vol. 1 of 1966 edn, sect. 1259, p. 462

"To any action there is always an opposite and equal reaction; in other words, the actions of two bodies upon each other are always equal and always opposite in direction."

— The Principia: Mathematical Principles of Natural Philosophy (1687)

"Truth is ever to be found in simplicity, and not in the multiplicity and confusion of things."

—'Fragments from a Treatise on Revelation". In Frank E. Manuel, The Religion of Isaac Newton (1974), 120.

How did Sir Isaac Newton die?

Newton died in 1727 during his sleep at the age of 84. Although the cause of death is unknown, a 1979 study published by Newton's own Royal Society suggests mercury poisoning may have contributed to the decline of his physical and mental health. During the exhumation of his body, large amounts of mercury were found in the scientist's system, likely due to his work with alchemy. Newton conducted several experiments to convert base metals, such as mercury and copper into precious metals, such as gold and silver. 

"In 1693 Newton suffered from insomnia and poor digestion; and he also wrote irrational letters to friends. Although most scholars have attributed Newton's breakdown to psychological factors, it is possible that mercury poisoning may have been the principal cause," wrote L. W. Johnson and M. L. Wolbarsht " Mercury Poisoning: A probable cause of Isaac Newton's physical and mental ills: Notes and Records of the Royal Society of London Vol. 34. No. 1. " .

After his death, his body was moved to a more prominent place in Westminster Abbey. His white and grey marble monument stands in the nave of the Abbey's choir screen and boasts sculptures of Newton lounging surrounded by children using the many instruments, such as telescopes, associated with Newton's work. The inscription on the monument — originally written in Latin — reads: 

" Here is buried Isaac Newton, Knight, who by a strength of mind almost divine, and mathematical principles peculiarly his own, explored the course and figures of the planets, the paths of comets, the tides of the sea, the dissimilarities in rays of light, and, what no other scholar has previously imagined, the properties of the colours thus produced. Diligent, sagacious and faithful, in his expositions of nature, antiquity and the holy Scriptures, he vindicated by his philosophy the majesty of God mighty and good, and expressed the simplicity of the Gospel in his manners. Mortals rejoice that there has existed such and so great an ornament of the human race! He was born on 25th December 1642, and died on 20th March 1726. " The date of his death on his monument is given in the Julian calendar. 

If you want to learn more about the impact of this celebrated scientist, then you should read about how Isaac Newton Changed the World . If you're wondering whether Newton's second law of motion works in space then an Astronaut has tested the theory out.

"Isaac Newton" by James Gleick (Vintage, 2004 )

" Mercury Poisoning: A probable cause of Isaac Newton's physical and mental ills: Notes and Records of the Royal Society of London Vol. 34. No. 1. " by L. W. Johnson and M. L. Wolbarsht (July 1979)

" The Mathematical Principles of Natural Philosophy " by Isaac Newton (Flame Tree Collections, 2020)

" Newton's Apple and Other Myths about Science " edited by Ronald L. Numbers and Kostas Kampourakis (Harvard University Press, 2020)

" Life After Gravity: Isaac Newton's London Career " by Patricia Fara (Oxford University Press, 2021)

"Isaac Newton" Stanford Encyclopedia of Philosophy (2007)

"Isaac Newton" University of St Andrews (2000)

"Sir Isaac Newton" Westminster Abbey (2023)

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Isaac Newton Biography

Isaac Netwon is synonymous with apples and gravity. He rose to become the most influential scientist of the 17th century, his ideas becoming the foundation of modern physics, after very humble beginnings. But first, the big question: Did an apple really fall on Newton's head and spur him to figure out gravity? Historians say there is likely no more than a grain of truth to the story.

Sir Isaac Newton was born, premature and tiny, in 1642 in Woolsthorpe, England. His father, wealthy but uneducated, died before Newton was born, and he ended up being raised by his grandmother after his mother remarried. It’s said he didn’t excel at school, but he ended up studying law at Trinity College Cambridge, part of Cambridge University. He worked as a servant to pay his bills. And he kept a journal about his ideas.

What got Newton interested in math? He bought a book on the subject and couldn't comprehend it. After getting his bachelor's degree in 1665; he studied math, physics, optics and astronomy on his own (Cambridge was closed for a couple of years due to the plague known as the Black Death). By 1666 he had completed his early work on  his three laws of motion . Later he got his master's degree.

Later work focused on the diffraction of light (he used a prism to discover that white light is made of a spectrum of colors ) and the concepts he'd become known for: universal gravitation, centrifugal force, centripetal force, and the effects and characteristics of bodies in motion. His laws are still used by physics students today:

• An object will remain in a state of inertia unless acted upon by force.
• The relationship between acceleration and applied force is F=ma.
• For every action there is an equal and opposite reaction.

Isaac Newton quotes

Newton said many things worth remembering, including these philosophical gems:

• "I can calculate the motion of heavenly bodies, but not the madness of people."
• "To myself I am only a child playing on the beach, while vast oceans of truth lie undiscovered before me."

Newton once said that if he had achieved anything in his research, it was "by standing on the shoulders of giants ." The quote was prophetic. A couple of centuries later, Albert Einstein puzzled over how to reconcile Newton's law of gravity with special relativity, which after several years led to  Einstein's theory of general relativity .

Isaac Newton inventions

While he's best known for his work on gravity, Newton was a tinkerer, too, but more with ideas than physical inventions. He did invent reflecting lenses for telescopes, which produced clearer images in a smaller telescope compared with the refracting models of the time. In his later years, he developed anti-counterfeiting measures for coins, including the ridges you see on quarters today.

Among his biggest " inventions " was calculus. Yes, that's right. Mere math and algebra weren't enough to explain the ideas in his head, so he helped invent calculus (German mathematician Gottfried Leibniz is typically credited with developing it independently at about the same time).

It's said that Newton invented a cat door so his cats would stop scratching to get in, but the truth of that one is a bit sketchy.

He also conceived of an "orbital cannon" that would poke out of a huge mountain, up in space, and with just the right amount of gunpowder could put a cannonball into orbit. This was not something Newton actually imagined building, but rather a way to think about his theories.

Later years

Urged by astronomer  Edmond Halley  (who was studying his now-famous comet), Newton continued to study his notion of gravity and apply it to the motions of the Earth, sun and moon. It all led to his seminal work, published in 1687, called the "Principia" — considered by many as the greatest science book ever written.

Newton's research stopped in 1679 when he had a nervous breakdown. Later, recovered, he spoke out against King James II, who wanted only Roman Catholics to be in powerful government and academic positions. When James was later driven out of England, Newton was elected to Parliament. He had a second breakdown in 1693, then retired from research. Isaac Newton died in 1727.

Among his more eccentric pastimes, Newton also dabbled (or more than dabbled) in alchemy, also called chymistry, with some historians estimating that he wrote more than a million words of alchemical notes, according to curator of rare books at the Chemical Heritage Foundation, James Voelkel.

And in March 2016, researchers announced they had found bought a 17th-century alchemy manuscript written by Newton . The manuscript, which had been hidden in a private collection for decades and turned up at an auction at Bonhams, provided the recipe for "philosophic" mercury, which was considered a step in the process for concocting a mysterious substance known the philosopher's stone; this material was thought to have supernatural powers — the ability to turn any metal into gold and to grant immortality. The manuscript will be available online for enthusiasts to explore.

Further reading

• Isaac Newton's Three Laws of Motion
• Inertia & Newton's First Law of Motion
• Force, Mass & Acceleration: Newton's Second Law of Motion
• Equal & Opposite Reactions: Newton's Third Law of Motion
• How Isaac Newton Changed the World
• What Is Gravity?
• What Is Einstein's Theory of Relativity?
• What Is Classical Mechanics?
• 20 inventions that changed the world

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How Isaac Newton Changed Our World

He created the modern telescope

Before Newton, standard telescopes provided magnification, but with drawbacks. Known as refracting telescopes, they used glass lenses that changed the direction of different colors at different angles. This caused “chromatic aberrations,” or fuzzy, out-of-focus areas around objects being viewed through the telescope.

After much tinkering and testing, including grinding his own lenses, Newton found a solution. He replaced the refracting lenses with mirrored ones, including a large, concave mirror to show the primary image and a smaller, flat, reflecting one, to display that image to the eye. Newton’s new “reflecting telescope” was more powerful than previous versions, and because he used the small mirror to bounce the image to the eye, he could build a much smaller, more practical telescope. In fact, his first model, which he built in 1668 and donated to England’s Royal Society, was just six inches long (some 10 times smaller than other telescopes of the era), but could magnify objects by 40x.

Newton’s simple telescope design is still used today, by both backyard astronomers and NASA scientists.

Newton helped develop spectral analysis

The next time you look up at a rainbow in the sky, you can thank Newton for helping us first understand and identify its seven colors. He began working on his studies of light and color even before creating the reflecting telescope, although he presented much of his evidence several years later, in his 1704 book, Opticks .

Before Newton, scientists primarily adhered to ancient theories on color, including those of Aristotle , who believed that all colors came from lightness (white) and darkness (black). Some even believed that the colors of the rainbow were formed by rainwater that colored the sky’s rays. Newton disagreed. He performed a seemingly endless series of experiments to prove his theories.

Working in his darkened room, he directed white light through a crystal prism on a wall, which separated into the seven colors we now know as the color spectrum (red, orange, yellow, green, blue, indigo, and violet). Scientists already knew many of these colors existed, but they believed that the prism itself transformed white light into these colors. But when Newton refracted these same colors back onto another prism, they formed into a white light, proving that white light (and sunlight) was actually a combination of all the colors of the rainbow.

Newton’s laws of motion laid the groundwork for classical mechanics

In 1687, Newton published one of the most important scientific books in history, the Philosophiae Naturalis Principia Mathematica , commonly known as the Principa . It was in this work that he first laid out his three laws of motion.

The law of inertia states that at rest or in motion will remain at rest or in motion unless it’s acted upon by an external force. So, with this law, Newton helps us explain why a car will stop when it hits a wall, but the human bodies within the car will keep moving at the same, constant speed they had been until the bodies hit an external force, like a dashboard or airbag. It also explains why an object thrown in space is likely to continue at the same speed on the same path for infinity unless it comes into another object that exerts force to slow it down or change direction.

You can see an example of his second law of acceleration when you ride a bicycle. In his equation that force equals mass times acceleration, or F=ma , your pedaling of a bicycle creates the force necessary to accelerate. Newton’s law also explains why larger or heavier objects require more force to move or alter them, and why hitting a small object with a baseball bat would produce more damage than hitting a large object with that same bat.

His third law of action and reaction creates a simple symmetry to the understanding of the world around us: For every action, there is an equal and opposite reaction. When you sit in a chair, you are exerting force down upon the chair, but the chair is exerting equal force to keep you upright. And when a rocket is launched into space, it’s thanks to the backward force of the rocket upon gas and the forward thrust of the gas on the rocket.

He created the law of universal gravitation and calculus

The Principa also contained some of Newton’s first published works on the motion of the planets and gravity. According to a popular legend, a young Newton was sitting beneath a tree on his family’s farm when the falling of an apple inspired one of his most famous theories. It’s impossible to know if this is true (and Newton himself only began telling the story as an older man), but is a helpful story to explain the science behind gravity. It also remained the basis of classical mechanics until Albert Einstein’s theory of relativity.

Newton worked out that if the force of gravity pulled the apple from the tree, then it was also possible for gravity to exert its pull on objects much, much further away. Newton’s theory helped prove that all objects, as small as an apple and as large as a planet, are subject to gravity. Gravity helped keep the planets rotating around the sun and creates the ebbs and flows of rivers and tides. Newton’s law also states that larger bodies with heavier masses exert more gravitational pull, which is why those who walked on the much smaller moon experienced a sense of weightlessness, as it had a smaller gravitational pull.

To help explain his theories of gravity and motion, Newton helped create a new, specialized form of mathematics. Originally known as “fluxions,” and now calculus, it charted the constantly changing and variable state of nature (like force and acceleration), in a way that existing algebra and geometry could not. Calculus may have been the bane of many a high school and college student, but it has proved invaluable to centuries of mathematicians, engineers and scientists.

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Biography of Isaac Newton, Mathematician and Scientist

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Sir Isaac Newton (Jan. 4, 1643–March 31, 1727) was a superstar of physics, math, and astronomy even in his own time. He occupied the chair of Lucasian Professor of Mathematics at the University of Cambridge in England, the same role later filled, centuries later, by Stephen Hawking . Newton conceived of several laws of motion , influential mathematical principals which, to this day, scientists use to explain how the universe works.

Fast Facts: Sir Isaac Newton

• Known For : Developed laws that explain how the universe works
• Born : Jan. 4, 1643 in Lincolnshire, England
• Parents : Isaac Newton, Hannah Ayscough
• Died : March 20, 1727 in Middlesex, England
• Education : Trinity College, Cambridge (B.A., 1665)
• Published Works : De Analysi per Aequationes Numero Terminorum Infinitas (1669, published 1711), Philosophiae Naturalis Principia Mathematica (1687), Opticks (1704)
• Awards and Honors : Fellowship of the Royal Society (1672), Knight Bachelor (1705)
• Notable Quote : "If I have seen further than others, it is by standing upon the shoulders of giants."

Early Years and Influences

Newton was born in 1642 in a manor house in Lincolnshire, England. His father had died two months before his birth. When Newton was 3 his mother remarried and he remained with his grandmother. He was not interested in the family farm, so he was sent to Cambridge University to study.

Newton was born just a short time after the death of  Galileo , one of the greatest scientists of all time. Galileo had proved that the planets revolve around the sun, not the earth as people thought at the time. Newton was very interested in the discoveries of Galileo and others. Newton thought the universe worked like a machine and that a few simple laws governed it. Like Galileo, he realized that mathematics was the way to explain and prove those laws.

Laws of Motion

Newton formulated laws of motion and gravitation. These laws are math formulas that explain how objects move when a force acts on them. Newton published his most famous book, "Principia," in 1687 while he was a mathematics professor at Trinity College in Cambridge. In "Principia," Newton explained three basic laws that govern the way objects move. He also described his theory of gravity, the force that causes things to fall down. Newton then used his laws to show that the planets revolve around the suns in orbits that are oval, not round.

The three laws are often called Newton’s Laws. The first law states that an object that is not being pushed or pulled by some force will stay still or will keep moving in a straight line at a steady speed. For example, if someone is riding a bike and jumps off before the bike is stopped, what happens? The bike continues on until it falls over. The tendency of an object to remain still or keep moving in a straight line at a steady speed is called inertia.

The second law explains how a force acts on an object. An object accelerates in the direction the force is moving it. If someone gets on a bike and pushes the pedals forward, the bike will begin to move. If someone gives the bike a push from behind, the bike will speed up. If the rider pushes back on the pedals, the bike will slow down. If the rider turns the handlebars, the bike will change direction.

The third law states that if an object is pushed or pulled, it will push or pull equally in the opposite direction. If someone lifts a heavy box, they use force to push it up. The box is heavy because it is producing an equal force downward on the lifter’s arms. The weight is transferred through the lifter’s legs to the floor. The floor also presses upward with an equal force. If the floor pushed back with less force, the person lifting the box would fall through the floor. If it pushed back with more force, the lifter would fly up in the air.

Importance of Gravity

When most people think of Newton, they think of him sitting under an apple tree observing an apple fall to the ground. When he saw the apple fall, Newton began to think about a specific kind of motion called gravity. Newton understood that gravity was a force of attraction between two objects. He also understood that an object with more matter or mass exerted the greater force or pulled smaller objects toward it. That meant that the large mass of the Earth pulled objects toward it. That is why the apple fell down instead of up and why people don’t float in the air.

He also thought that maybe gravity was not just limited to the Earth and the objects on the earth. What if gravity extended to the Moon and beyond? Newton calculated the force needed to keep the Moon moving around the earth. Then he compared it with the force that made the apple fall downward. After allowing for the fact that the Moon is much farther from the Earth and has a much greater mass, he discovered that the forces were the same and that the Moon is also held in orbit around Earth by the pull of earth’s gravity.

Disputes in Later Years and Death

Newton moved to London in 1696 to accept the position of warden of the Royal Mint. For many years afterward, he argued with Robert Hooke over who had actually discovered the connection between elliptical orbits and the inverse square law, a dispute that ended only with Hooke's death in 1703.

In 1705, Queen Anne bestowed a knighthood upon Newton, and thereafter he was known as Sir Isaac Newton. He continued his work, particularly in mathematics. This led to another dispute in 1709, this time with German mathematician Gottfried Leibniz. They both quarreled over which of them had invented calculus.

One reason for Newton's disputes with other scientists was his overwhelming fear of criticism, which led him to write, but then postpone publication of, his brilliant articles until after another scientist created similar work. Besides his earlier writings, "De Analysi" (which didn't see publication until 1711) and "Principia" (published in 1687), Newton's publications included "Optics" (published in 1704), "The Universal Arithmetic" (published in 1707), the "Lectiones Opticae" (published in 1729), the "Method of Fluxions" (published in 1736), and the "Geometrica Analytica" (printed in 1779).

On March 20, 1727, Newton died near London. He was buried in Westminster Abbey, the first scientist to receive this honor. 

Newton’s calculations changed the way people understood the universe. Prior to Newton, no one had been able to explain why the planets stayed in their orbits. What held them in place? People had thought that the planets were held in place by an invisible shield. Newton proved that they were held in place by the sun’s gravity and that the force of gravity was affected by distance and mass. While he was not the first person to understand that the orbit of a planet was elongated like an oval, he was the first to explain how it worked.

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Isaac Newton

Isaac Newton is perhaps the greatest physicist who has ever lived. He and Albert Einstein are almost equally matched contenders for this title.

Each of these great scientists produced dramatic and startling transformations in the physical laws we believe our universe obeys, changing the way we understand and relate to the world around us.

Early Life and Education

Isaac Newton was born on January 4, 1643 in the tiny village of Woolsthorpe-by-Colsterworth, Lincolnshire, England.

His father, whose name was also Isaac Newton, was a farmer who died before Isaac Junior was born. Although comfortable financially, his father could not read or write.

His mother, Hannah Ayscough, married a churchman when Newton was three years old.

Newton disliked his mother’s new husband and did not join their household, living instead with his mother’s mother, Margery Ayscough.

His resentment of his mother and stepfather’s new life did not subside with time; as a teenager he threatened to burn their house down!

Beginning at age 12, Newton attended The King’s School, Grantham, where he was taught the classics, but no science or mathematics. When he was 17, his mother stopped his schooling so that he could become a farmer. Fortunately for the future of science Newton found he had neither aptitude nor liking for farming; his mother allowed him to return to school, where he finished as top student.

Servant and Undergraduate

In June 1661, age 18, Newton began studying for a law degree at Cambridge University’s Trinity College, earning money as a personal servant to wealthier students.

By the time he was a third-year student he was spending much of his time studying mathematics and natural philosophy (today we call it physics). He was also fascinated by alchemy, which is now categorized as a pseudoscience.

His natural philosophy lecturers based their courses on Aristotle’s incorrect ideas from Ancient Greek times. This was despite the fact that 25 years earlier, in 1638, Galileo Galilei had established a new scientific basis for the physics of motion with his masterpiece Two New Sciences .

Newton began to disregard the material taught at his college, preferring to study the recent (and more scientifically correct) works of Galileo, Boyle, Descartes, and Kepler. He wrote:

Reading the works of these great scientists, Newton grew more ambitious about making his own discoveries. While still working part-time as a servant, he wrote a note to himself. In it he posed questions not yet been answered by science. These included questions about gravity, the nature of light, the nature of color and vision, and atoms.

After three years at Cambridge, he won a four-year scholarship. This allowed him to give up working as a servant and devote his time fully to academic studies.

A Mind on Fire

In 1665, at age 22, a year after beginning his four-year scholarship, Newton made his first major discovery: this was in mathematics, where he discovered the generalized binomial theorem. He was awarded his B.A. degree in the same year.

By now his mind was ablaze with new ideas. He began making significant progress in three distinct fields – he would make some of his most profound discoveries in these fields:

• calculus, the mathematics of change, which is vital to our understanding of the world around us
• optics and the behavior of light

He did much of his work on these topics back home at Woolsthorpe-by-Colsterworth after the Great Plague forced Cambridge colleges to close.

Fellow and Lucasian Professor of Mathematics

At age 24, in 1667, Newton returned to Cambridge, where events moved quickly.

First he was elected as a fellow of Trinity College.

A year later, in 1668, he was awarded an M.A. degree.

A year after that, the Lucasian Professor of Mathematics at Trinity College, Isaac Barrow, resigned and Newton was appointed as his replacement; he was just 26 years old. Barrow, who had recommended Newton to succeed him, said of him:

Isaac Newton’s Scientific Achievements and Discoveries

Achievements in brief.

Isaac Newton, who was largely self-taught in mathematics and physics:

• generalized the binomial theorem
• showed that sunlight is made up of all of the colors of the rainbow. He used one glass prism to split a beam of sunlight into its separate colors, then another prism to recombine the rainbow colors to make a beam of white light again.
• built the world’s first working reflecting telescope.
• discovered/invented calculus, the mathematics of change, without which we could not understand the behavior of objects as tiny as electrons or as large as galaxies.
• wrote the Principia , one of the most important scientific books ever written; in it he used mathematics to explain gravity and motion. ( Principia is pronounced with a hard c.)
• discovered the law of universal gravitation, proving that the force holding the moon in orbit around the earth is the same force that causes an apple to fall from a tree.
• formulated his three laws of motion – Newton’s Laws – which lie at the heart of the science of movement.
• showed that Kepler’s laws of planetary motion are special cases of Newton’s universal gravitation.
• proved that all objects moving through space under the influence of gravity must follow a path shaped in the form of one of the conic sections, such as a circle, an ellipse, or a parabola, hence explaining the paths all planets and comets follow.
• showed that the tides are caused by gravitational interactions between the earth, the moon, and the sun.
• predicted, correctly, that the earth is not perfectly spherical but is squashed into an oblate spheroid, larger around the equator than around the poles.
• Used mathematics to model the movement of fluids – from which the concept of a Newtonian fluid comes.
• devised Newton’s Method for finding the roots of mathematical functions.

Some Details about Newton’s Greatest Discoveries

Newton revealed his laws of motion and gravitation in his book the Principia . Just as few people at first could understand Albert Einstein’s general theory of relativity, few people understood the Principia . When Newton walked past them one day, one student remarked to another:

“There goes a man who has written a book that neither he nor anybody else understands.”

Newton’s ideas were spread by the small number of people who understood the Principia , and who were able to develop and convey its message in more accessible ways: people including Colin Maclaurin, Leonhard Euler , Joseph Louis Lagrange, Pierre Simon de Laplace, Willem Jacob’s Gravesande, William Whiston, John Theophilus Desaguliers, and David Gregory.

Newton was the first person to fully develop calculus. Calculus is the mathematics of change. Modern physics and physical chemistry would be impossible without it. Other academic disciplines such as biology and economics also rely heavily on calculus for analysis.

In his development of calculus Newton was influenced by Pierre de Fermat , who had shown specific examples in which calculus-like methods could be used. Newton was able to build on Fermat’s work and generalize calculus. Newton wrote that he had been guided by:

From Newton’s fertile mind came the ideas that we now call differential calculus, integral calculus, and differential equations.

Soon after Newton generalized calculus, Gottfried Leibniz achieved the same result. Today, most mathematicians give equal credit to Newton and Leibniz for calculus’s discovery.

Universal Gravitation and the Apple

He told people that seeing the apple’s fall made him wonder why it fell in a straight line towards the center of our planet rather than moving upwards or sideways.

Ultimately, he realized and proved that the force behind the apple’s fall also causes the moon to orbit the earth; and comets, the earth and other planets to orbit the sun. The force is felt throughout the universe, so Newton called it Universal Gravitation . In a nutshell, it says that mass attracts mass.

Newton discovered the equation that allows us to calculate the force of gravity between two objects.

Most people don’t like equations much: E = mc 2 is as much as they can stand, but, for the record, here’s Newton’s equation:

Newton’s equation says that you can calculate the gravitational force attracting one object to another by multiplying the masses of the two objects by the gravitational constant and dividing by the square of the distance between the objects’ centers.

Dividing by distance squared means Newton’s Law is an inverse-square law .

Newton proved mathematically that any object moving in space affected by an inverse-square law will follow a path in the shape of one of the conic sections, the shapes which fascinated Archimedes and other Ancient Greek mathematicians.

For example, planets follow elliptical paths; while comets follow elliptical, or parabolic or hyperbolic paths.

And that’s it! Newton showed everyone how, if they wished to, they could calculate the force of gravity between things such as people, planets, stars, and apples.

Newton’s Laws of Motion

Third Law: The rocket flies because of the upward thrust it gets as a reaction to the high speed gas particles pushing downward from its engines.

First law: Objects remain stationary or move at a constant velocity unless acted upon by an external force. This law was actually first stated by Galileo , whose influence Newton mentions several times in the Principia .

Second law: The force F on an object is equal to its mass m multiplied by its acceleration: F = ma.

Third law: When one object exerts a force on a second object, the second object exerts a force equal in size and opposite in direction on the first object.

With Newton’s calculus, universal gravitation, and laws of motion, you have enough knowledge at your fingertips to plot a course for a spaceship to any planet in our solar system or even another solar system!

And Isaac Newton figured it all out about 300 years before we actually did send a spaceship to the planets.

A Word of Caution Newton’s laws become increasingly inaccurate when speeds reach substantial fractions of the speed of light, or when the force of gravity is very large. Einstein’s equations are then required to produce reliable results.

Optics and Light

Newton was not just clever with his mind. He was also skilled in experimental methods and working with equipment.

He built the world’s first reflecting telescope. This telescope focuses light from a curved mirror. Reflecting telescopes have several advantages over earlier telescopes including:

• they are cheaper to make
• they are easier to make in large sizes, gathering more light, allowing higher magnification
• they do not suffer from a focusing issue associated with lenses called chromatic aberration.

Newton also used glass prisms to establish that white light is not a simple phenomenon. He proved that it is made up of all of the colors of the rainbow, which could recombine to form white light again.

Newton’s crucial 1672 experiment with two prisms. The result absolutely demolished competing theories, such as the proposal that glass added the colors to sunlight.

Alchemy, Feuds, Religion, and Planets Orbiting Distant Stars

Although he is one of the greatest scientists in history, Newton’s laboratory papers show he probably devoted more of his time to alchemy than to anything we would recognize as science.

The Alchemist by Joseph Wright depicts Hennig Brand’s discovery of phosphorus. Brand was actually trying to discover the Philosophers’ Stone. Newton seems to have put more of his hours into alchemy than mathematics and physics.

Not surprisingly, Newton never found the Philosophers’ Stone. Given his towering contributions to real science, all we can do is wonder what else he might have achieved if he had not been such a passionate alchemist.

Despite his brilliance, Newton was a very insecure man: most historians trace this back to his childhood family difficulties.

Newton published very little work until his later years, because in his early years as a scientist, Robert Hooke disagreed strongly with a scientific paper Newton published. Newton took criticism of his work in a very personal way and developed a lifelong loathing for Hooke.

His lack of published work also caused a huge issue when Gottfried Leibniz starting publishing his own version of calculus. Newton was already a master of this branch of mathematics, but had published very little of it. Again Newton’s insecurity got the better of him, and he angrily accused Leibniz of stealing his work. The pros and cons of each man’s case have long been debated by historians. Most mathematicians regard Newton and Leibniz as equally responsible for the development of calculus.

Newton was a very religious man with somewhat unorthodox Protestant Christian views. He spent a great deal of time and wrote a large body of private works concerned with theology and his interpretation of the Bible.

His scientific work had revealed a universe that obeyed logical mathematical laws. He had also discovered that starlight and sunlight are the same, and he speculated that stars could have their own systems of planets orbiting them. He believed such a system could only have been made by God.

In 1696, Newton was appointed as a Warden of the Royal Mint. In 1700, he became Master of the Mint, leaving Cambridge for London, and more or less ending his scientific discovery work. He took his new role very seriously, going out into London’s taverns in disguise gathering evidence against counterfeiters.

In 1703, he was elected President of the Royal Society.

In 1705, he was knighted, becoming Sir Isaac Newton.

Isaac Newton died on March 31, 1727, age 84. He had never married and had no children.

He was buried in Westminster Abbey, London.

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Isaac newton.

Threatening my father and mother Smith to burn them and the house over them.

... setting my heart on money, learning, and pleasure more than Thee ...

... changed his mind when he read that parallelograms upon the same base and between the same parallels are equal.

Thus Wallis doth it, but it may be done thus ...

[ Newton ] brought me the other day some papers, wherein he set down methods of calculating the dimensions of magnitudes like that of Mr Mercator concerning the hyperbola, but very general; as also of resolving equations; which I suppose will please you; and I shall send you them by the next.

... having no more acquaintance with him I did not think it becoming to urge him to communicate anything.

• investigations of the colours of thin sheets
• 'Newton's rings' and
• diffraction of light.

... that the Attraction always is in a duplicate proportion to the Distance from the Center Reciprocall ...

After his 1679 correspondence with Hooke , Newton, by his own account, found a proof that Kepler's areal law was a consequence of centripetal forces, and he also showed that if the orbital curve is an ellipse under the action of central forces then the radial dependence of the force is inverse square with the distance from the centre.

... asked Newton what orbit a body followed under an inverse square force, and Newton replied immediately that it would be an ellipse. However in 'De Motu..' he only gave a proof of the converse theorem that if the orbit is an ellipse the force is inverse square. The proof that inverse square forces imply conic section orbits is sketched in Cor. 1 to Prop. 13 in Book 1 of the second and third editions of the 'Principia', but not in the first edition.

... all matter attracts all other matter with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.

Be courageous and steady to the Laws and you cannot fail.

Newton was of the most fearful, cautious and suspicious temper that I ever knew.

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Additional Resources ( show )

Other pages about Isaac Newton:

• John Maynard Keynes' Newton the Man
• Newton's Arian beliefs
• Flamsteed v Newton
• Charles Bossut on Leibniz and Newton
• Newton's Principia Preface
• John Collins meets Isaac Newton
• Julian and Gregorian calendars
• Newton-Raphson method
• Woolsthorpe Manor
• The title page of Philosophiae naturalis principia mathematica ( The Principia 1687)
• The title page of Analysis per quantitatum series fluxiones (1711)
• Isaac Newton by his contemporaries
• Multiple entries in The Mathematical Gazetteer of the British Isles ,
• Astronomy: The Reaches of the Milky Way
• Astronomy: The Dynamics of the Solar System
• Henry Taylor on Isaac Newton
• Miller's postage stamps
• Heinz Klaus Strick biography

Other websites about Isaac Newton:

• Dictionary of Scientific Biography
• Dictionary of National Biography
• Encyclopaedia Britannica
• The Newton Project ( UK )
• The Galileo Project
• G Don Allen
• Sci Hi blog
• A Google doodle
• Kevin Brown ( More about Newton's birthday )
• Mathematical Genealogy Project
• MathSciNet Author profile

Honours ( show )

Honours awarded to Isaac Newton

• Lucasian Professor 1669
• Fellow of the Royal Society 1672
• President of the Royal Society 1703 - 1727
• Lunar features Crater Newton
• Paris street names Rue Newton (16 th Arrondissement )
• Popular biographies list Number 3
• Google doodle 2010

Cross-references ( show )

• History Topics: A brief history of cosmology
• History Topics: A chronology of π
• History Topics: A history of the calculus
• History Topics: A history of time: 20 th century time
• History Topics: A history of time: Classical time
• History Topics: An overview of Indian mathematics
• History Topics: An overview of the history of mathematics
• History Topics: Christianity and the Mathematical Sciences - the Heliocentric Hypothesis
• History Topics: Elliptic functions and integrals
• History Topics: English attack on the Longitude Problem
• History Topics: Fermat's last theorem
• History Topics: General relativity
• History Topics: Greek astronomy
• History Topics: Infinity
• History Topics: Light through the ages: Ancient Greece to Maxwell
• History Topics: London Coffee houses and mathematics
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• Isaac Newton

Isaac Newton is one of the most celebrated and recognized mathematicians and physicists in world history. Known for his discovery of gravity, Newton remains to this day a very influential figure from the Age of Enlightenment.

Newton’s Early Years

Isaac Newton was born in Lincolnshire on Christmas Day of 1642. His father died before Newton was born and his mother remarried. Newton’s early years were spent with his maternal grandmother. The time he did spend with his mother was very tumultuous since he did not like his stepfather at all.

Until he was 17 years old, Newton was a student at The King’s School in Grantham. He did not leave the school on pleasant terms. Reunited with his mother, Newton tried his hand at being a farmer. This was a very unhappy with his new profession and he would re-enroll in school. Newton became a standout in school and scored very high in his studies.

Newton’s University Years

Newton became a student at Trinity College in Cambridge where he studied the official curriculum based on Aristotle. He also expanded his learning to include the study of the great philosopher – René Descartes . He invested a great deal of time pursuing his love for astronomy and he spent time learning about the lives and work of many famous astronomers.

One of Newton’s best known early achievements while in school was his discovery of the generalized binomial theorem. This theorem set the stage for an expanded mathematical system which would be advanced calculus. Ironically, he was not considered all that great of a student when he was enrolled in college. When he graduated, he invested a great deal of time in self-study. During this period of self-study, he focused on physics, calculus, and the laws of gravity.

Newton’s Contributions to Mathematics

Newton went on to publish a very influential work titled The Principia and it centered on infinitesimal calculus in geometric form. His work on cubicle curves in relation to the Euclidean plane was quite revolutionary for its time. As with his other studies, the work set the stage for amazing inroads in math and science when others built upon the groundwork he created.

Newton made many discoveries in areas related to optics, the theory of finite differences, and innovative applications in geometry. Based on his very unique work, he received a great deal of acclaim. This led to him being named Lucasian Professor of Mathematics in 1669. Traditionally, a person who was awarded such a position had to become a priest. Newton was given an exemption from that rule.

Newton’s Final Years

In his later years, Newton invested a significant amount of time writing about the subject of religion and he even studied alchemy. Financial hardships, however, plagued him later in life.

Newton passed away on March 20, 1727. He died unmarried and had no children.

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• Isaac Newton

Sir Isaac Newton

Apart from discovering the cause of the fall of an apple from a tree, that is, the laws of gravity, Sir Isaac Newton was perhaps one of the most brilliant and greatest physicists of all time. He shaped dramatic and surprising discoveries in the laws of physics that we believe our universe obeys, and hence it changed the way we appreciate and relate to the world around us.

Table of Contents

About sir isaac newton, sir isaac newton’s education, awards and achievements, some achievements of isaac newton in brief.

• Universal Law of Gravitation

Optics and Light

Sir Isaac Newton was born on 4th January 1643 in a small village of England called Woolsthorpe-by-Colsterworth. He was an English physicist and mathematician, and one of the important thinkers in the Scientific Revolution.

He discovered the phenomenon of white light integrated with colours which further laid the foundation of modern physical optics. His famous three laws of Motion in mechanics and the formulation of the laws of gravitation completely changed the track of physics across the globe. He was the originator of calculus in mathematics. A scientist like him is considered an excellent gift by nature to the world of physics.

Isaac Newton studied at the Trinity College, Cambridge, in 1661. At 22 in 1665, a year after beginning his four-year scholarship, Newton finished his first significant discovery in mathematics, where he revealed the generalized binomial theorem. He was bestowed with his B.A. degree in the same year.

Isaac Newton held numerous positions throughout his life. In 1671, he was invited to join the Royal Society of London after developing a new and enhanced version of the reflecting telescope.

He was later elected President of the Royal Society (1703). Sir Isaac Newton ran for a seat in Parliament in 1689. He won the election and became a Member of Parliament for Cambridge University. He was also appointed as a Warden of the Mint in 1969. Due to his exemplary work and dedication to the mint, he was chosen Master of the Mint in 1700. After being knighted in 1705, he was known as “Sir Isaac Newton.”

His mind was ablaze with original ideas. He made significant progress in three distinct fields – with some of the most profound discoveries in:

• Calculus, the mathematics of change, which is vital to our understanding of the world around us
• Optics and the behaviour of light
• He also built the first working reflecting telescope
• He showed that Kepler’s laws of planetary motion are exceptional cases of Newton’s universal gravitation.

Sir Isaac Newton’s Contribution in Calculus

Sir Isaac Newton was the first individual to develop calculus. Modern physics and physical chemistry are almost impossible without calculus, as it is the mathematics of change.

The idea of differentiating calculus into differential calculus, integral calculus and differential equations came from Newton’s fertile mind. Today, most mathematicians give equal credit to Newton and Leibniz for calculus’s discovery.

Law of Universal Gravitation

The famous apple that he saw falling from a tree led him to discover the force of gravitation and its laws. Ultimately, he realised that the pressure causing the apple’s fall is responsible for the moon to orbit the earth, as well as comets and other planets to revolve around the sun. The force can be felt throughout the universe. Hence, Newton called it the Universal Law of Gravitation .

Newton discovered the equation that allows us to compute the force of gravity between two objects.

Newton’s Laws of Motion

• First law of Motion
• Second Law of Motion
• Third law of Motion

Watch the video and learn about the history of the concept of Gravitation

Sir Isaac Newton also accomplished himself in experimental methods and working with equipment. He built the world’s first reflecting telescope . This telescope focuses all the light from a curved mirror. Here are some advantages of reflecting telescopes from optics and light –

• They are inexpensive to make.
• They are easier to make in large sizes, gathering lighter, allowing advanced magnification.
• They don’t suffer focusing issues linked with lenses called chromatic aberration.

Isaac Newton also proved that white light is not a simple phenomenon with the help of a glass prism. He confirmed that it is made up of all of the colours of the rainbow, which could recombine to form white light again.

Watch the video and solve complete NCERT exercise questions in the chapter Gravitation

Frequently Asked Questions

How did newton discover gravity.

Seeing an apple fall from the tree made him think about the forces of nature.

What is Calculus in Mathematics?

Calculus is the study of differentiation and integration. Calculus explains the changes in values, on a small and large scale, related to any function.

Define Reflecting Telescope.

It’s a telescope invented by Newton that uses mirrors to collect and focus the light towards the eyepiece.

Name all the Kepler’s Laws of planetary motion.

Kepler’s three laws of planetary motion are:

• The Law of Ellipses
• The Law of Equal Areas
• The Law of Harmonies

Who discovered Gravity?

Watch the full summary of the chapter gravitation class 9.

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• Isaac Newton

Isaac Newton is considered one of the greatest scientists and physicists who ever lived. Newton invented a new kind of mathematics called calculus, discovered how light and color work and showed how gravity functions in the universe. Remarkably, he made these discoveries over a period of 18 months, between 1665 and 1667.

Early Life and Education

Isaac Newton was born in Woolsthorpe, England on December 25th, 1642. He went to Grantham grammar school, but he was more interested in making mechanical models than he was in studying and was considered a poor student. His boyish hobbies led to a small windmill that could grind corn and wheat, a water clock and a sundial. Newton left school when he was 14 because his widowed mother needed him to help with their farm. He was no better at this than he was at being a schoolboy and he was eventually sent back to school.

Newton entered Trinity College at Cambridge University in 1661. Here again he was a mediocre student. He left school in 1665 without distinction, but returned in 1667 as a fellow. In 1669 he became professor of mathematics and gave lectures on geometry, astronomy, optics and mathematics. He later quit and went to work for the government and was made a fellow of the Royal Society in 1672.

Discoveries

Newton claimed that he began to think about a theory of gravity while he was drinking tea one afternoon and saw an apple fall from a tree. This made him realize that the same force that made the apple fall is what keeps the moon in its orbit. He extrapolated from this to realize that gravity makes every pair of bodies in the universe attracted each other. He also learned that the strength of gravity depends on the amount of matter in the bodies being attracted and the distance between the bodies.

Newton also showed why the apple might fall straight to earth while the moon moved in a circle around the earth. He showed that the moon was falling constantly toward the earth and if it moved in a straight line, it would fly out of its orbit.

In 1684, Edmund Halley, the English astronomer, urged Newton to publish his findings on gravity. In 1687 Newton’s discoveries were published in Philosophiae Naturalis Principia Mathematica . Even today this book is considered one of the great scientific books of all time.

In 1704, Newton published Optiks . In this book, he explained why bodies appear to be colored. This laid the foundation for spectrum analysis, which allows scientists to determine the temperature, chemical composition and speed of bodies like distant stars. Newton also discovered that sunlight is a mix of light of all colors while passing sunlight through a prism.

Interestingly, Newton did not spend too much time studying math, physics or astronomy. He was fascinated by alchemy and theology, and was so sensitive to criticism that he had to be urged by his friends to even publish his work. Yet, Albert Einstein claimed that he could not have done what he did without Newton’s discoveries.

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Career of Isaac Newton

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• Table Of Contents

Newton was elected to a fellowship in Trinity College in 1667, after the university reopened. Two years later, Isaac Barrow , Lucasian professor of mathematics , who had transmitted Newton’s De Analysi to John Collins in London , resigned the chair to devote himself to divinity and recommended Newton to succeed him. The professorship exempted Newton from the necessity of tutoring but imposed the duty of delivering an annual course of lectures. He chose the work he had done in optics as the initial topic; during the following three years (1670–72), his lectures developed the essay “Of Colours” into a form which was later revised to become Book One of his Opticks .

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Beginning with Kepler’s Paralipomena in 1604, the study of optics had been a central activity of the Scientific Revolution . Descartes’s statement of the sine law of refraction , relating the angles of incidence and emergence at interfaces of the media through which light passes, had added a new mathematical regularity to the science of light, supporting the conviction that the universe is constructed according to mathematical regularities. Descartes had also made light central to the mechanical philosophy of nature; the reality of light, he argued, consists of motion transmitted through a material medium. Newton fully accepted the mechanical nature of light, although he chose the atomistic alternative and held that light consists of material corpuscles in motion. The corpuscular conception of light was always a speculative theory on the periphery of his optics, however. The core of Newton’s contribution had to do with colours . An ancient theory extending back at least to Aristotle held that a certain class of colour phenomena, such as the rainbow , arises from the modification of light, which appears white in its pristine form. Descartes had generalized this theory for all colours and translated it into mechanical imagery. Through a series of experiments performed in 1665 and 1666, in which the spectrum of a narrow beam was projected onto the wall of a darkened chamber, Newton denied the concept of modification and replaced it with that of analysis. Basically, he denied that light is simple and homogeneous—stating instead that it is complex and heterogeneous and that the phenomena of colours arise from the analysis of the heterogeneous mixture into its simple components. The ultimate source of Newton’s conviction that light is corpuscular was his recognition that individual rays of light have immutable properties; in his view, such properties imply immutable particles of matter. He held that individual rays (that is, particles of given size) excite sensations of individual colours when they strike the retina of the eye . He also concluded that rays refract at distinct angles—hence, the prismatic spectrum, a beam of heterogeneous rays, i.e., alike incident on one face of a prism , separated or analyzed by the refraction into its component parts—and that phenomena such as the rainbow are produced by refractive analysis. Because he believed that chromatic aberration could never be eliminated from lenses, Newton turned to reflecting telescopes ; he constructed the first ever built. The heterogeneity of light has been the foundation of physical optics since his time.

There is no evidence that the theory of colours, fully described by Newton in his inaugural lectures at Cambridge, made any impression, just as there is no evidence that aspects of his mathematics and the content of the Principia , also pronounced from the podium, made any impression. Rather, the theory of colours, like his later work, was transmitted to the world through the Royal Society of London, which had been organized in 1660. When Newton was appointed Lucasian professor, his name was probably unknown in the Royal Society; in 1671, however, they heard of his reflecting telescope and asked to see it. Pleased by their enthusiastic reception of the telescope and by his election to the society, Newton volunteered a paper on light and colours early in 1672. On the whole, the paper was also well received, although a few questions and some dissent were heard.

Among the most important dissenters to Newton’s paper was Robert Hooke , one of the leaders of the Royal Society who considered himself the master in optics and hence he wrote a condescending critique of the unknown parvenu. One can understand how the critique would have annoyed a normal man. The flaming rage it provoked, with the desire publicly to humiliate Hooke, however, bespoke the abnormal. Newton was unable rationally to confront criticism . Less than a year after submitting the paper, he was so unsettled by the give and take of honest discussion that he began to cut his ties, and he withdrew into virtual isolation.

In 1675, during a visit to London, Newton thought he heard Hooke accept his theory of colours. He was emboldened to bring forth a second paper, an examination of the colour phenomena in thin films , which was identical to most of Book Two as it later appeared in the Opticks . The purpose of the paper was to explain the colours of solid bodies by showing how light can be analyzed into its components by reflection as well as refraction . His explanation of the colours of bodies has not survived, but the paper was significant in demonstrating for the first time the existence of periodic optical phenomena. He discovered the concentric coloured rings in the thin film of air between a lens and a flat sheet of glass; the distance between these concentric rings ( Newton’s rings ) depends on the increasing thickness of the film of air. In 1704 Newton combined a revision of his optical lectures with the paper of 1675 and a small amount of additional material in his Opticks .

A second piece which Newton had sent with the paper of 1675 provoked new controversy. Entitled “An Hypothesis Explaining the Properties of Light,” it was in fact a general system of nature. Hooke apparently claimed that Newton had stolen its content from him, and Newton boiled over again. The issue was quickly controlled, however, by an exchange of formal, excessively polite letters that fail to conceal the complete lack of warmth between the men.

Newton was also engaged in another exchange on his theory of colours with a circle of English Jesuits in Liège, perhaps the most revealing exchange of all. Although their objections were shallow, their contention that his experiments were mistaken lashed him into a fury. The correspondence dragged on until 1678, when a final shriek of rage from Newton, apparently accompanied by a complete nervous breakdown, was followed by silence. The death of his mother the following year completed his isolation. For six years he withdrew from intellectual commerce except when others initiated a correspondence, which he always broke off as quickly as possible.

During his time of isolation, Newton was greatly influenced by the Hermetic tradition with which he had been familiar since his undergraduate days. Newton, always somewhat interested in alchemy , now immersed himself in it, copying by hand treatise after treatise and collating them to interpret their arcane imagery. Under the influence of the Hermetic tradition, his conception of nature underwent a decisive change. Until that time, Newton had been a mechanical philosopher in the standard 17th-century style, explaining natural phenomena by the motions of particles of matter. Thus, he held that the physical reality of light is a stream of tiny corpuscles diverted from its course by the presence of denser or rarer media. He felt that the apparent attraction of tiny bits of paper to a piece of glass that has been rubbed with cloth results from an ethereal effluvium that streams out of the glass and carries the bits of paper back with it. This mechanical philosophy denied the possibility of action at a distance; as with static electricity , it explained apparent attractions away by means of invisible ethereal mechanisms. Newton’s “Hypothesis of Light” of 1675, with its universal ether , was a standard mechanical system of nature. Some phenomena, such as the capacity of chemicals to react only with certain others, puzzled him, however, and he spoke of a “secret principle” by which substances are “sociable” or “unsociable” with others. About 1679, Newton abandoned the ether and its invisible mechanisms and began to ascribe the puzzling phenomena—chemical affinities , the generation of heat in chemical reactions , surface tension in fluids, capillary action , the cohesion of bodies, and the like—to attractions and repulsions between particles of matter. More than 35 years later, in the second English edition of the Opticks , Newton accepted an ether again, although it was an ether that embodied the concept of action at a distance by positing a repulsion between its particles. The attractions and repulsions of Newton’s speculations were direct transpositions of the occult sympathies and antipathies of Hermetic philosophy—as mechanical philosophers never ceased to protest. Newton, however, regarded them as a modification of the mechanical philosophy that rendered it subject to exact mathematical treatment. As he conceived of them, attractions were quantitatively defined, and they offered a bridge to unite the two basic themes of 17th-century science—the mechanical tradition, which had dealt primarily with verbal mechanical imagery, and the Pythagorean tradition, which insisted on the mathematical nature of reality. Newton’s reconciliation through the concept of force was his ultimate contribution to science.