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[[Image:Newton.png|right|200px]]

[[Image:Newton.png|right|200px]]

'''Sir Isaac Newton''' (1642-1727) was an [[England|English]] [[physicist]], [[astronomer]], [[mathematician]], [[theologian]], [[alchemy|alchemist]] and government official. He is one of the most well known [[scientist]]s in world history for his [[Theory of Universal Gravitation]], his Laws of Motion, and his theories in optics, as well as invention of differential [[calculus]].<ref>Newton's discovery of calculus was independent of, and likely before, a similar discovery of calculus by the German scientist [[Gottfried Leibniz]]. (Each accused the other of plagiarism, but neither could prove it. [http://scienceworld.wolfram.com/biography/Newton.html Newton Biography]).</ref> In addition, Newton invented the reflecting [[telescope]], and made numerous other contributions to his fields of study. His [[Classical mechanics]] comprises the four main fields of modern physics (alongside the later fields of [[electricity]] and [[magnetism]], [[thermodynamics]], and quantum mechanics). In his opinion, his unique achievements in [[natural science]] were conveyed to him by [[God]] alone.<ref>{{cite web |title=One Prophet Interprets Another: Sir Isaac Newton and Daniel |author=Matania Z. Kochavi |accessdate=19-Dec-2021 |quote=The sense of chosenness grew in Newton, not as a result of his study of prophecies, but following his unique achievements in natural science, which in his opinion, were conveyed to him by God alone. |publisher=Springer Nature Switzerland AG. |isbn=978-94-017-3249-9 |url=https://link.springer.com/chapter/10.1007/978-94-017-3249-9_7}}</ref>

'''Sir Isaac Newton''' (1642-1727) was an [[England|English]] [[physicist]], [[astronomer]], [[mathematician]], [[theologian]], [[alchemy|alchemist]] and government official. He is one of the most well-known [[scientist]]s in world history for his [[Theory of Universal Gravitation]], his Laws of Motion, and his theories in optics, as well as his invention of differential [[calculus]].<ref>Newton's discovery of calculus was independent of, and likely before, a similar discovery of calculus by the German scientist [[Gottfried Leibniz]]. (Each accused the other of plagiarism, but neither could prove it. [http://scienceworld.wolfram.com/biography/Newton.html Newton Biography]).</ref> In addition, Newton invented the reflecting [[telescope]], and made numerous other contributions to his fields of study. His [[Classical mechanics]] comprises the four main fields of modern physics (alongside the later fields of [[electricity]] and [[magnetism]], [[thermodynamics]], and quantum mechanics). In his opinion, his unique achievements in [[natural science]] were conveyed to him by [[God]] alone.<ref>{{cite web |title=One Prophet Interprets Another: Sir Isaac Newton and Daniel |author=Matania Z. Kochavi |accessdate=19-Dec-2021 |quote=The sense of chosenness grew in Newton, not as a result of his study of prophecies, but following his unique achievements in natural science, which in his opinion, were conveyed to him by God alone. |publisher=Springer Nature Switzerland AG. |isbn=978-94-017-3249-9 |url=https://link.springer.com/chapter/10.1007/978-94-017-3249-9_7}}</ref>

Proving the value of [[Biblical scientific foreknowledge]], Newton attributed his insights to his efforts in translating the [[Bible]]: "Amongst the Interpreters of the last age there is scarce one of note who hath not made some discovery worth knowing; and thence seem to gather that [[God]] is about opening these mysteries."<ref>http://www.pretribulation.com/isaac-newton.htm</ref>

Proving the value of [[Biblical scientific foreknowledge]], Newton attributed his insights to his efforts in translating the [[Bible]]: "Amongst the Interpreters of the last age there is scarce one of note who hath not made some discovery worth knowing; and thence seem to gather that [[God]] is about opening these mysteries."<ref>http://www.pretribulation.com/isaac-newton.htm</ref>

==Life==

==Life==

Newton was born on [[Christmas]] day December 25, 1642<ref>He was born a little more that a year after Galileo died. [[Italy]] and England used different calendars, however, so there is a mistake to the effect they died in the same year. Galileo died in 1641 by the English calendar.</ref> in Woolsthorpe, Lincolnshire; his father, also Isaac, died before his birth. The senior Isaac Newton (1606–1642) was a wealthy but illiterate farmer who left extensive lands as well as goods worth £459, including a flock of 235 sheep and a herd of 46 cattle. The annual income was about £150, and Newton drew on that income to supplement his college fellowship while at Cambridge. The Newtons were a well-to-do, upwardly mobile family of farmers, but never had a prominent member. When he was a little more than two years old, his mother Hannah (1610–1679), remarried, and his upbringing was taken over by his maternal grandmother. He began his schooling in neighboring villages, and, at ten, was sent to the grammar school at Grantham, the nearest town of any size. He boarded during terms at the house of an apothecary from whom he may have derived his lifelong interest in chemistry. The young Newton seems to have been a quiet, not particularly bookish, lad, but very ready with his hands; he made sun dials, model windmills, a water clock, a mechanical carriage, and flew kites with lanterns attached to their tails. Throughout his life he built mechanical devices and fashioned his own tools for high-precision work.

Newton was born on [[Christmas]] day December 25, 1642<ref>He was born a little more than a year after Galileo died. [[Italy]] and England used different calendars, however, so there is a mistake to the effect that they died in the same year. Galileo died in 1641 by the English calendar.</ref> in Woolsthorpe, Lincolnshire; his father, also Isaac, died before his birth. The senior Isaac Newton (1606–1642) was a wealthy but illiterate farmer who left extensive lands as well as goods worth £459, including a flock of 235 sheep and a herd of 46 cattle. The annual income was about £150, and Newton drew on that income to supplement his college fellowship while at Cambridge. The Newtons were a well-to-do, upwardly mobile family of farmers, but never had a prominent member. When he was a little more than two years old, his mother Hannah (1610–1679), remarried, and his upbringing was taken over by his maternal grandmother. He began his schooling in neighboring villages, and, at ten, was sent to the grammar school at Grantham, the nearest town of any size. He boarded during terms at the house of an apothecary from whom he may have derived his lifelong interest in chemistry. The young Newton seems to have been a quiet, not particularly bookish, lad, but very ready with his hands; he made sun dials, model windmills, a water clock, a mechanical carriage, and flew kites with lanterns attached to their tails. Throughout his life he built mechanical devices and fashioned his own tools for high-precision work.

In 1656, Newton's mother, on the death of her second husband, returned to Woolsthorpe and took her son out of school with the idea of making him a farmer. He hated farming. His mother, after considerable persuasion by his teacher at Grantham, who had recognized his intellectual gifts, allowed him to prepare for entrance to [[Cambridge University]]. In June 1661, he was admitted to prestigious Trinity College as a lowly "sub-sizar" (a student required to do work-study). The main curriculum was the study of Aristotle, but early in 1664, as Newton's notebooks indicate, he began an intensive self-study of geometry, Copernican astronomy and optics. On his own he read Descartes, Pierre Gassendi, Galileo, Robert Boyle, Thomas Hobbes, Kenelm Digby, Joseph Glanville, and Henry More. He was a loner with only one friend, but he was stimulated by the distinguished mathematician and theologian Isaac Barrow, Lucasian Professor of Mathematics, who recognized Newton's genius and did all he could to foster it.  

In 1656, Newton's mother, on the death of her second husband, returned to Woolsthorpe and took her son out of school with the idea of making him a farmer. He hated farming. His mother, after considerable persuasion by his teacher at Grantham, who had recognized his intellectual gifts, allowed him to prepare for entrance to [[Cambridge University]]. In June 1661, he was admitted to the prestigious Trinity College as a lowly "sub-sizar" (a student required to do work-study). The main curriculum was the study of Aristotle, but early in 1664, as Newton's notebooks indicate, he began an intensive self-study of geometry, Copernican astronomy and optics. On his own, he read Descartes, Pierre Gassendi, Galileo, Robert Boyle, Thomas Hobbes, Kenelm Digby, Joseph Glanville, and Henry More. He was a loner with only one friend, but he was stimulated by the distinguished mathematician and theologian Isaac Barrow, Lucasian Professor of Mathematics, who recognized Newton's genius and did all he could to foster it.  

==National affairs==

==National affairs==

Publication in 1687 of the ''Principia'', considered by many to be the most important scientific publication ever, made Newton one of the best known intellectual figures in Europe. At the same time Newton became a leader of the University against King [[James II]], who was promoting Catholicism there. When James was overthrown, Newton's political reputation soared. In 1694 he suffered an emotional breakdown and his intellectual productivity ended. In 1696 he left Cambridge for London, where he became Warden of the [[mint|Royal Mint]]. The appointment was intended as an honorary sinecure for England's most famous intellectual, but Newton characteristically threw himself into a successful effort to reform the nation's coinage and crack down on counterfeiters. He became Master of the Mint in 1699; in 27 years as Master he averaged an income of about £1650 a year, one of the highest salaries in London. He was president of the Royal Society from 1703 to his death, turning that honorific position into an operational one that upgraded the Society's usefulness. In 1705 he became the first scientist in European history to be knighted.

Publication in 1687 of the ''Principia'', considered by many to be the most important scientific publication ever, made Newton one of the best-known intellectual figures in Europe. At the same time, Newton became a leader of the University against King [[James II]], who was promoting Catholicism there. When James was overthrown, Newton's political reputation soared. In 1694 he suffered an emotional breakdown and his intellectual productivity ended. In 1696 he left Cambridge for London, where he became Warden of the [[mint|Royal Mint]]. The appointment was intended as an honorary sinecure for England's most famous intellectual, but Newton characteristically threw himself into a successful effort to reform the nation's coinage and crack down on counterfeiters. He became Master of the Mint in 1699; in 27 years as Master he averaged an income of about £1650 a year, one of the highest salaries in London. He was president of the Royal Society from 1703 to his death, turning that honorific position into an operational one that upgraded the Society's usefulness. In 1705 he became the first scientist in European history to be knighted.

Newton never married, but he brought his niece to London as his hostess and lived in upper class style.

Newton never married, but he brought his niece to London as his hostess and lived in upper-class style.

==Year of great discovery==

==Year of great discovery==

Newton broke ground with his innovative work founding the field of [[calculus]]. He had been motivated by the need for alternate ways to compute [[pi]]. He isolated a formulation of pi as the area under an [[arc]] of the unit circle; thus to calculate pi he would only have to compute this area. Whereas [[Pierre de Fermat]] had already worked out how to compute the areas under [[polynomial]] curves, Newton faced a curve given by a formula involving a [[square root]]. To solve this problem, he re-expressed the square root in terms of an infinite sum of polynomials—this was the motivating idea for his generalized binomial theorem. The standard binomial theorem gave an expansion for ''(x+y)ⁿ'' for any nonnegative [[integer]] ''n''. The resulting expression involves binomial [[coefficient]]s. Newton's work extended this theorem to all [[real]] values of ''n'', by using [[convergent]] [[infinite series]] and generalized binomial coefficients. Therefore, to compute the area under the arc, he simply had to use Fermat's theorem to compute the area under each of the polynomial terms of the infinite series and then add them together (proving along the way that this sum converges).

Newton broke ground with his innovative work founding the field of [[calculus]]. He had been motivated by the need for alternate ways to compute [[pi]]. He isolated a formulation of pi as the area under an [[arc]] of the unit circle; thus to calculate pi he would only have to compute this area. Whereas [[Pierre de Fermat]] had already worked out how to compute the areas under [[polynomial]] curves, Newton faced a curve given by a formula involving a [[square root]]. To solve this problem, he re-expressed the square root in terms of an infinite sum of polynomials—this was the motivating idea for his generalized binomial theorem. The standard binomial theorem gave an expansion for ''(x+y)ⁿ'' for any nonnegative [[integer]] ''n''. The resulting expression involves binomial [[coefficient]]s. Newton's work extended this theorem to all [[real]] values of ''n'', by using [[convergent]] [[infinite series]] and generalized binomial coefficients. Therefore, to compute the area under the arc, he simply had to use Fermat's theorem to compute the area under each of the polynomial terms of the infinite series and then add them together (proving along the way that this sum converges).

Proceeding from this method, Newton formulated the idea of [[integration]]—a computation of the area under any curve by using infinite series of areas. He followed that with a method for [[differentiation]], and came upon the [[fundamental theorem of calculus]], which relates differentiation and integration. Having invented the calculus, he put aside mathematics for two years and turned to physics.

Proceeding from this method, Newton formulated the idea of [[integration]]—a computation of the area under any curve by using an infinite series of areas. He followed that with a method for [[differentiation]], and came upon the [[fundamental theorem of calculus]], which relates differentiation and integration. Having invented calculus, he put aside mathematics for two years and turned to physics.

Although Newton had communicated his discoveries in the calculus privately, he did not publish anything formal about it until finally, in 1704, he published ''Opticks''. In the meantime the German mathematician [[Gottfried Wilhelm Leibniz]] had developed his own very similar version of the calculus. Both mathematicians used similar ideas of infinitesimals to smooth out details of division by zero and other seeming mathematical obstacles.  

Although Newton had communicated his discoveries in calculus privately, he did not publish anything formal about it until finally, in 1704, he published ''Opticks''. In the meantime, the German mathematician [[Gottfried Wilhelm Leibniz]] had developed his own very similar version of the calculus. Both mathematicians used similar ideas of infinitesimals to smooth out details of division by zero and other seeming mathematical obstacles.  

Although Leibniz acknowledged that Newton was earlier, a nasty priority conflict broke out in the 1710s. Newton and his (mainly English) followers accused Leibniz of plagiarism, and the Germans retaliated in kind. The modern view is that both mathematicians discovered the calculus independently. The symbolism in modern use comes from Leibniz and 18th century French mathematicians.

Although Leibniz acknowledged that Newton was earlier, a nasty priority conflict broke out in the 1710s. Newton and his (mainly English) followers accused Leibniz of plagiarism, and the Germans retaliated in kind. The modern view is that both mathematicians discovered calculus independently. The symbolism in modern use comes from Leibniz and 18th-century French mathematicians.

===Optics===

===Optics===

Newton's theory is based on action-at-a-distance which has always been opposed by some scientists, and now most physicists endorse the very different [[theory of relativity]]. Both theories predict identical results at small scales, similar results at the scale of the [[solar system]] and very different results at [[Cosmology|cosmological]] scales beyond the [[solar system]].

Newton's theory is based on action-at-a-distance which has always been opposed by some scientists, and now most physicists endorse the very different [[theory of relativity]]. Both theories predict identical results at small scales, similar results at the scale of the [[solar system]] and very different results at [[Cosmology|cosmological]] scales beyond the [[solar system]].

Newton had already made great progress in his devising "method of fluxions" (the infinitesimal calculus). During the plague years he recorded his first thoughts on gravitation, inspired by watching an apple fall. It fell straight down—why was that? He was trying at that time to determine what type of force could hold the moon in its path. The fall of the apple led him to think that it might be the same gravitational force, suitably diminished by distance, that had acted on the apple. Thereby he discovered the law of [[gravitation]] (attraction is proportional with inverse distance squared). He verified his conjecture approximately by a numerical calculation. He did not, at the time, pursue the matter, because the problem of calculating the combined attraction of the whole earth on a small body near its surface was obviously one of great difficulty.<ref>The problem was enormously simplified when he later used his calculus to prove that, for purposes of gravity, a uniform sphere of any size can be considered as a single mass located at one point, the center.</ref>   

Newton had already made great progress in his devising "method of fluxions" (the infinitesimal calculus). During the plague years, he recorded his first thoughts on gravitation, inspired by watching an apple fall. It fell straight down—why was that? He was trying at that time to determine what type of force could hold the moon in its path. The fall of the apple led him to think that it might be the same gravitational force, suitably diminished by distance, that had acted on the apple. Thereby he discovered the law of [[gravitation]] (attraction is proportional to inverse distance squared). He verified his conjecture approximately by a numerical calculation. He did not, at the time, pursue the matter, because the problem of calculating the combined attraction of the whole earth on a small body near its surface was obviously one of great difficulty.<ref>The problem was enormously simplified when he later used his calculus to prove that, for purposes of gravity, a uniform sphere of any size can be considered as a single mass located at one point, the center.</ref>   

Newton struggled with how to conceptualize gravity. He had early rejected Descartes's vortex account of the cause of the motion of the planets. Descartes had argued that forces were transmitted through contact and that this required that matter be continuous and that hence there could be no vacuums. As early as 1665 Newton attempted to find a physical explanation of the cause of gravity but never found a suitable answer. As Newton said later in his ''Principia,'' "I have not as yet been able to deduce from phenomena the reason for these properties of gravity, and I do not feign hypotheses. For whatever is not deduced from the phenomena must be called hypothesis; and hypotheses, whether metaphysical or physical, or based on occult qualities, or mechanical, have no place in experimental philosophy". Thus Newton offers no explanation of gravity but shows through his mathematics that it "acts" in accordance to the mathematical laws he offers us in the ''Principia''. This was a difficult approach for his contemporaries to accept. [[Robert Hooke]], in particular, saw experimentation as the heart of science and disapproved of Newton's focus on theory and mathematics.

Newton struggled with how to conceptualize gravity. He had early rejected Descartes's vortex account of the cause of the motion of the planets. Descartes had argued that forces were transmitted through contact and that this required that matter be continuous and that hence there could be no vacuums. As early as 1665 Newton attempted to find a physical explanation of the cause of gravity but never found a suitable answer. As Newton said later in his ''Principia,'' "I have not as yet been able to deduce from phenomena the reason for these properties of gravity, and I do not feign hypotheses. For whatever is not deduced from the phenomena must be called hypothesis; and hypotheses, whether metaphysical or physical, or based on occult qualities, or mechanical, have no place in experimental philosophy". Thus Newton offers no explanation of gravity but shows through his mathematics that it "acts" in accordance to the mathematical laws he offers us in the ''Principia''. This was a difficult approach for his contemporaries to accept. [[Robert Hooke]], in particular, saw experimentation as the heart of science and disapproved of Newton's focus on theory and mathematics.

See [[Classical mechanics]]

See [[Classical mechanics]]

Later in life, as a holder of the Cambridge Lucasian chair of mathematics, Newton worked out his initial ideas into a set of mechanical laws, with his second and most important law: Force is the rate of change of momentum with respect to time. This can often be simplified, in the case of constant mass to the well known <math>\scriptstyle F = m a</math>. Newton was the first to understand the concept of inertial forces, notably the centrifugal force, although Christian Huyghens was close to understanding this effect. In 1684 Newton proved that [[Johannes Kepler|Kepler's laws]] follow from his own second law in conjunction with his gravitational law. This proof completed the astronomical revolution initiated by [[Nicolaus Copernicus]].

Later in life, as a holder of the Cambridge Lucasian chair of mathematics, Newton worked out his initial ideas into a set of mechanical laws, with his second and most important law: Force is the rate of change of momentum with respect to time. This can often be simplified, in the case of constant mass to the well-known <math>\scriptstyle F = m a</math>. Newton was the first to understand the concept of inertial forces, notably the centrifugal force, although Christian Huyghens was close to understanding this effect. In 1684 Newton proved that [[Johannes Kepler|Kepler's laws]] follow from his own second law in conjunction with his gravitational law. This proof completed the astronomical revolution initiated by [[Nicolaus Copernicus]].

==Principia Mathematica==

==Principia Mathematica==

Newton believed that God's creation of the universe was self-evident given its grandeur.<ref>Webb, R.K. ed. Knud Haakonssen. “The emergence of Rational Dissent.” Enlightenment and Religion: Rational Dissent in eighteenth-century Britain. Cambridge University Press, Cambridge: 1996. p19.</ref>  He also warned against using his laws to replace the creator. He said, "Gravity explains the motions of the planets, but it cannot explain who set the planets in motion. God governs all things and knows all that is or can be done."<ref>Tiner, J.H. (1975). Isaac Newton: Inventor, Scientist and Teacher. Milford, Michigan, U.S.: Mott Media.</ref>

Newton believed that God's creation of the universe was self-evident given its grandeur.<ref>Webb, R.K. ed. Knud Haakonssen. “The emergence of Rational Dissent.” Enlightenment and Religion: Rational Dissent in eighteenth-century Britain. Cambridge University Press, Cambridge: 1996. p19.</ref>  He also warned against using his laws to replace the creator. He said, "Gravity explains the motions of the planets, but it cannot explain who set the planets in motion. God governs all things and knows all that is or can be done."<ref>Tiner, J.H. (1975). Isaac Newton: Inventor, Scientist and Teacher. Milford, Michigan, U.S.: Mott Media.</ref>

Newton wrote over a million words on religion—nearly all in unpublished hand-written manuscripts and unavailable for research until the 20th century. Although older scholars did not have access to his writings, "Among contemporary scholars, the consensus is that Newton was an Arian," concludes Pfizenmaier (1997).<ref>Thomas C. Pfizenmaier, "Was Isaac Newton an Arian?," ''Journal of the History of Ideas,'' Vol. 58, No. 1 (Jan., 1997), pp. 57-80 [http://www.jstor.org/stable/3653988 in JSTOR]</ref>  Arians were Christians but the Arian theology died out as an organized force a thousand years before; Newton read the old texts and identified himself with Arius and his beliefs.

Newton wrote over a million words on religion—nearly all in unpublished hand-written manuscripts and unavailable for research until the 20th century. Although older scholars did not have access to his writings, "Among contemporary scholars, the consensus is that Newton was an Arian," concludes Pfizenmaier (1997).<ref>Thomas C. Pfizenmaier, "Was Isaac Newton an Arian?," ''Journal of the History of Ideas,'' Vol. 58, No. 1 (Jan. 1997), pp. 57-80 [http://www.jstor.org/stable/3653988 in JSTOR]</ref>  Arians were Christians but the Arian theology died out as an organized force a thousand years before; Newton read the old texts and identified himself with Arius and his beliefs.

===Newton and religion===

===Newton and religion===

* Dobbs, Betty Jo Tetter. ''The Janus Faces of Genius: The Role of Alchemy in Newton's Thought.'' (1991), links the alchemy to Arianism

* Dobbs, Betty Jo Tetter. ''The Janus Faces of Genius: The Role of Alchemy in Newton's Thought.'' (1991), links the alchemy to Arianism

* Force, James E., and Richard H. Popkin, eds. ''Newton and Religion: Context, Nature, and Influence.'' (1999), 342pp . Pp. xvii + 325. 13 papers by scholars using newly opened manuscripts

* Force, James E., and Richard H. Popkin, eds. ''Newton and Religion: Context, Nature, and Influence.'' (1999), 342pp. Pp. xvii + 325. 13 papers by scholars using newly opened manuscripts

* Ramati, Ayval. "The Hidden Truth of Creation: Newton's Method of Fluxions" ''British Journal for the History of Science'' 34: 417–438. [http://www.jstor.org/stable/4028372 in JSTOR], argues that his calculus had a theological basis

* Ramati, Ayval. "The Hidden Truth of Creation: Newton's Method of Fluxions" ''British Journal for the History of Science'' 34: 417–438. [http://www.jstor.org/stable/4028372 in JSTOR], argues that his calculus had a theological basis

* Snobelen, Stephen D. "'God of Gods, and Lord of Lords': The Theology of Isaac Newton's General Scholium to the Principia," ''Osiris,'' 2nd Series, Vol. 16, (2001), pp.&nbsp;169–208 [http://www.jstor.org/stable/301985 in JSTOR]

* Snobelen, Stephen D. "'God of Gods, and Lord of Lords': The Theology of Isaac Newton's General Scholium to the Principia," ''Osiris,'' 2nd Series, Vol. 16, (2001), pp.&nbsp;169–208 [http://www.jstor.org/stable/301985 in JSTOR]