Sir Isaac Newton ( ; 4 January [O.S. 25 December] 1643 – 31 March [O.S. 20 March] 1727) was a distinguished English polymath, whose diverse expertise encompassed mathematics, physics, astronomy, alchemy, theology, authorship, and invention. He played a pivotal role in both the Scientific Revolution and the subsequent Enlightenment era. His seminal work, Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), initially released in 1687, marked the inaugural grand unification in physics and laid the foundational principles of classical mechanics. Newton's significant contributions extended to the field of optics, and he is jointly credited with the German mathematician Gottfried Wilhelm Leibniz for the development of infinitesimal calculus, despite Newton having formulated it several years prior. Furthermore, Newton advanced and refined the scientific method, with his body of work widely regarded as the most influential in the emergence of modern science.
Sir Isaac Newton ( ; 4 January [O.S. 25 December] 1643 – 31 March [O.S. 20 March] 1727) was an English polymath who was a mathematician, physicist, astronomer, alchemist, theologian, author and inventor. He was a key figure in the Scientific Revolution and the Enlightenment that followed. His book Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687, achieved the first great unification in physics and established classical mechanics. Newton also made seminal contributions to optics, and shares credit with the German mathematician Gottfried Wilhelm Leibniz for formulating infinitesimal calculus, although he developed calculus years before Leibniz. Newton contributed to and refined the scientific method, and his work is considered the most influential in bringing forth modern science.
Within the pages of his Principia, Newton articulated the fundamental laws of motion and universal gravitation, which constituted the prevailing scientific paradigm for centuries until its eventual replacement by the theory of relativity. Nevertheless, these laws continue to provide highly accurate approximations for most physical phenomena characterized by low velocities (significantly below the speed of light) and weak gravitational fields. Employing his mathematical framework for gravity, Newton successfully derived Kepler's laws of planetary motion, explained tidal patterns, comet trajectories, the precession of the equinoxes, and various other celestial phenomena, thereby conclusively establishing the heliocentric model of the Solar System. He resolved the two-body problem and subsequently introduced the more complex three-body problem. Newton demonstrated that identical principles governed the motion of both terrestrial and celestial objects. His hypothesis that Earth is an oblate spheroid was subsequently validated by geodetic measurements conducted by Alexis Clairaut, Charles Marie de La Condamine, and other researchers, which persuaded the majority of European scientists regarding the preeminence of Newtonian mechanics compared to preceding theoretical frameworks. Additionally, he was the first to experimentally determine Earth's age and conceptualized an early form of the modern wind tunnel. Moreover, Newton was the first to offer a quantitative estimation of the Sun's mass.
Newton constructed the inaugural reflecting telescope and formulated an advanced theory of color, predicated on the observation that a prism disperses white light into its constituent visible spectrum. His extensive research on light was compiled in his treatise, Opticks, which was published in 1704. He pioneered the use of prisms as beam expanders and in multiple-prism arrays, components that subsequently proved crucial for the advancement of tunable lasers. Newton also devised a double-reflecting quadrant and was the first to postulate the Goos–Hänchen effect. Furthermore, he established an empirical law of cooling, representing the initial formulation in heat transfer and serving as the formal underpinning for convective heat transfer; he performed the first theoretical computation of the speed of sound; and he introduced the concepts of a Newtonian fluid and a black body. He was also the first to elucidate the Magnus effect. Additionally, he conducted the initial analysis of Couette flow. Beyond his groundbreaking development of calculus, Newton's mathematical contributions were vast. He generalized the binomial theorem for any real exponent, introduced the Puiseux series, was the first to articulate Bézout's theorem, systematically classified the majority of cubic plane curves, contributed significantly to the investigation of Cremona transformations, devised a methodology for approximating function roots, originated the Newton–Cotes formulas for numerical integration, and provided the earliest explicit formulation of the general Taylor series. Moreover, Newton pioneered the field of calculus of variations, formulated and resolved the initial problem in geometric probability, conceived the earliest iteration of linear regression, and was a foundational figure in vector analysis.
Newton held positions as a fellow of Trinity College and, at the age of 26, was appointed the second Lucasian Professor of Mathematics at the University of Cambridge. Although a devout Christian, he privately rejected the doctrine of the Trinity, an unorthodox stance that led him to refuse holy orders in the Church of England, unlike most of his Cambridge faculty peers. Beyond his significant work in mathematical sciences, Newton dedicated considerable effort to studying alchemy and biblical chronology, though much of this research remained unpublished until long after his death. Politically aligned with the Whigs, he served two brief terms as a Member of Parliament for the University of Cambridge, from 1689–1690 and 1701–1702. In 1705, Queen Anne knighted him. He spent the last three decades of his life in London, serving as Warden (1696–1699) and then Master (1699–1727) of the Royal Mint, where he improved the accuracy and security of British coinage. He also served as president of the Royal Society from 1703 to 1727.
Early Life
Isaac Newton was born on Christmas Day, 25 December 1642, according to the Julian calendar then in use in England (or 4 January 1643, New Style), at Woolsthorpe Manor in Woolsthorpe-by-Colsterworth, a hamlet in Lincolnshire. His father, also named Isaac Newton, had died three months before his birth. Born prematurely, Newton was a small child; his mother, Hannah Ayscough, reportedly claimed he could have fit inside a quart mug. When Newton was three, his mother remarried the Reverend Barnabas Smith and moved to live with him, leaving her son in the care of his maternal grandmother, Margery Ayscough (née Blythe). Newton developed a strong dislike for his stepfather and harbored resentment towards his mother for her remarriage, a sentiment revealed in an entry from a list of sins he committed up to age 19: "Threatening my father and mother Smith to burn them and the house over them." Newton's mother subsequently had three children—Mary, Benjamin, and Hannah—from her second marriage.
The King's School
From approximately age twelve to seventeen, Newton received his education at The King's School in Grantham, where he studied Latin and Ancient Greek, likely acquiring a substantial mathematical foundation. His mother subsequently withdrew him from school, and he returned to Woolsthorpe by October 1659. Having been widowed for a second time, his mother attempted to compel him into farming, an occupation he intensely disliked. However, Henry Stokes, the master at The King's School, and Reverend William Ayscough, Newton's uncle, successfully convinced his mother to allow him to resume his studies. Driven by a desire for retribution against a schoolyard bully, whom Newton defeated and humiliated in a physical altercation, he excelled academically, becoming the top-ranked student and notably distinguishing himself through the construction of sundials and windmill models.
University of Cambridge
In June 1661, Newton was admitted to Trinity College at the University of Cambridge, having been recommended by his uncle, the Reverend William Ayscough, who was a Cambridge alumnus. Initially, Newton enrolled as a subsizar, funding his education through valet duties until he was awarded a scholarship in 1664. This scholarship covered his university costs for an additional four years, leading to the completion of his Master of Arts degree. At the time, Cambridge's teachings were predominantly Aristotelian, a philosophy Newton studied alongside more contemporary thinkers, including René Descartes, and astronomers such as Galileo Galilei and Thomas Street. He documented a series of "Quaestiones" on mechanical philosophy in his notebook. In 1665, he discovered the generalized binomial theorem and began to formulate a mathematical theory that would later become calculus. Shortly after Newton obtained his Bachelor of Arts degree from Cambridge in August 1665, the university temporarily closed as a precaution against the Great Plague.
Although his academic performance as a Cambridge student was not particularly distinguished, Newton's private studies and the years immediately following his bachelor's degree have been described as "the richest and most productive ever experienced by a scientist." The subsequent two years alone, spent at his home in Woolsthorpe, witnessed the development of his theories on calculus, optics, and the law of gravitation. Physicist Louis Trenchard More states that "There are no other examples of achievement in the history of science to compare with that of Newton during those two golden years."
Newton has been characterized as a meticulously organized individual regarding note-taking, systematically marking significant pages. His indexes, structured alphabetically by topic, resemble modern indexing systems. Newton's extensive library reflected his diverse intellectual pursuits, and he was described as a "Janusian thinker," capable of synthesizing seemingly disparate disciplines to foster innovative advancements. William Stukeley observed Newton's proficiency with both mechanical instruments and writing, detailing how Newton's room at Grantham featured walls adorned with meticulously drawn images of "birds, beasts, men, ships & mathematical schemes." Stukeley also highlighted Newton's "uncommon skill & industry in mechanical works."
Newton returned to the University of Cambridge in April 1667, securing election as a fellow of Trinity College in October of the same year. While fellows were typically required to be ordained as Anglican priests, this mandate was not strictly enforced during the Restoration period; a declaration of conformity to the Church of England sufficed. Newton formally committed, stating, "I will either set Theology as the object of my studies and will take holy orders when the time prescribed by these statutes [7 years] arrives, or I will resign from the college." Prior to this, Newton had given limited consideration to religious matters, having twice subscribed to the Thirty-nine Articles, which form the foundational doctrine of the Church of England. However, by 1675, the issue became unavoidable, as his heterodox religious perspectives presented a significant impediment.
Newton's scholarly contributions garnered the admiration of Isaac Barrow, the Lucasian Professor, who sought to advance his own religious and administrative career (Barrow subsequently became Master of Trinity College two years later). In 1669, just one year after completing his MA, Newton succeeded Barrow in the professorship. Newton contended that his professorship should grant him exemption from the ordination requirement. King Charles II, whose royal assent was necessary, accepted this rationale, thereby preventing a direct conflict between Newton's personal religious convictions and Anglican orthodoxy. This appointment occurred when Newton was 26 years old.
Despite his profound theoretical accomplishments, Newton proved to be an ineffectual educator, with his lectures consistently experiencing minimal attendance. Humphrey Newton, his sizar (assistant), observed that Newton would arrive punctually and, if the lecture hall was vacant, would halve his lecture duration from 30 to 15 minutes, address the empty room, and then withdraw to his laboratory to conduct experiments, thereby satisfying his contractual duties. Newton, for his part, evinced no enthusiasm for either teaching or interacting with students. Throughout his academic career, he was assigned only three students for private tutoring, none of whom achieved notable distinction.
In 1672, Newton was elected a Fellow of the Royal Society (FRS).
Revision of Geographia Generalis
The Lucasian Professorship of Mathematics at Cambridge encompassed the duty of teaching geography. In both 1672 and 1681, Newton oversaw the publication of revised, corrected, and amended editions of Geographia Generalis, a geography textbook originally published in 1650 by the late Bernhardus Varenius. Within Geographia Generalis, Varenius endeavored to establish a theoretical framework that connected scientific principles with classical geographical concepts, defining geography as an amalgamation of science and pure mathematics applied to the quantification of Earth's features. Although it remains uncertain whether Newton ever delivered lectures on geography, the 1733 English translation by Dugdale and Shaw asserted that Newton published the book for student use during his lectures on the topic. The Geographia Generalis is considered by some scholars to represent the demarcation between ancient and modern traditions in the history of geography, with Newton's contributions to its later editions widely regarded as instrumental to its lasting influence.
Scientific Studies
Mathematics
Newton's contributions are widely acknowledged for significantly advancing every mathematical discipline prevalent during his era. His foundational work on calculus, which he termed fluxions, commenced in 1664. A manuscript dated May 20, 1665, demonstrates that Newton had already progressed in calculus sufficiently to calculate tangents and curvatures for any point on a continuous curve. By 1665, his efforts culminated in a systematic calculus that integrated differentiation and integration. He applied this framework to the dynamic analysis of algebraic and transcendental curves, a methodology that scholar Tom Whiteside characterized as "radically novel, indeed unprecedented," and which subsequently provided the theoretical basis for central-force orbits detailed in the Principia. An additional manuscript from October 1666 has since been published within Newton's collected mathematical papers. A definitive treatise on calculus was documented by Newton in his "Waste Book." Newton was self-taught in mathematics, conducting his research autonomously. Scholar Richard S. Westfall corroborates this, stating, "By every indication we have, Newton carried out his education in mathematics and his program of research entirely on his own." His treatise, De analysi per aequationes numero terminorum infinitas, transmitted by Isaac Barrow to John Collins in June 1669, was subsequently described by Barrow in an August letter to Collins as the product "of an extraordinary genius and proficiency in these things."
Subsequently, Newton engaged in a notable dispute with the German polymath Gottfried Wilhelm Leibniz concerning the precedence in the development of calculus. Both scholars are now recognized for independently developing calculus, albeit employing distinct mathematical notations. Nevertheless, historical evidence confirms that Newton formulated calculus considerably earlier than Leibniz. Despite Newton's earlier development, Leibniz's notation gained recognition as more convenient, leading to its adoption by continental European mathematicians and, post-1820, by British mathematicians.
A. Rupert Hall, a distinguished historian of science, observes that while Leibniz merits recognition for his independent formulation of calculus, Newton unequivocally pioneered its development, asserting:
However, these considerations hold minor significance when juxtaposed with the fundamental truth, long universally acknowledged, that Newton had mastered the core techniques of calculus by late 1666, nearly nine years prior to Leibniz. Newton's assertion of having mastered the new infinitesimal calculus well before Leibniz, and even of having commenced a publishable exposition of it as early as 1671, is substantiated by extensive evidence. Although Leibniz and his associates attempted to diminish Newton's claims, the veracity of this timeline has remained largely undisputed for the past 250 years.
Hall additionally remarks that within the Principia, Newton adeptly "formulate[d] and resolve[d] problems by the integration of differential equations," and "in fact, he anticipated in his book many results that later exponents of the calculus regarded as their own novel achievements." Hall highlights Newton's accelerated progress in calculus relative to his contemporaries, asserting that Newton, "well before 1690 . . . had reached roughly the point in the development of the calculus that Leibniz, the two Bernoullis, L'Hospital, Hermann and others had by joint efforts reached in print by the early 1700s."
Notwithstanding the perceived convenience of Leibniz's notation, it has been observed that Newton's notational system possessed the potential for developing multivariate techniques, with his dot notation remaining prevalent in contemporary physics. Several academics have underscored the profound richness and depth of Newton's contributions. For instance, physicist Roger Penrose remarked that "in most cases Newton's geometrical methods are not only more concise and elegant, they reveal deeper principles than would become evident by the use of those formal methods of calculus that nowadays would seem more direct." Mathematician Vladimir Arnold articulated that "Comparing the texts of Newton with the comments of his successors, it is striking how Newton's original presentation is more modern, more understandable and richer in ideas than the translation due to commentators of his geometrical ideas into the formal language of the calculus of Leibniz."
Newton's extensive work incorporated calculus geometrically, relying on the limiting values of ratios of infinitesimally small quantities. Within the Principia, Newton explicitly demonstrated this approach, terming it "the method of first and last ratios," and justified its presentation by noting its equivalence to "the method of indivisibles." Consequently, the Principia is recognized today as "a book dense with the theory and application of the infinitesimal calculus," a characterization that aligns with contemporary views during Newton's era, when "nearly all of it is of this calculus." This methodology, which involved "one or more orders of the infinitesimally small," was evident in his 1684 work, De motu corporum in gyrum, and in his various papers on motion published "during the two decades preceding 1684."
Some scholars have posited that Newton's comprehension of limits was either imprecise or constrained. Conversely, mathematician Bruce Pourciau argues that Newton's Principia reveals a more advanced grasp of limits than commonly acknowledged, notably by being the first to introduce an epsilon argument.
Newton initially hesitated to publish his calculus, apprehensive of potential controversy and criticism. He maintained a close association with the Swiss mathematician Nicolas Fatio de Duillier. In 1691, Duillier commenced work on a revised edition of Newton's Principia and engaged in correspondence with Leibniz. By 1693, the relationship between Duillier and Newton had soured, leading to the abandonment of the book project. From 1699 onward, Duillier publicly accused Leibniz of plagiarism. The situation escalated further in 1708 when mathematician John Keill reiterated the plagiarism accusation against Leibniz in a Royal Society journal. The dispute fully erupted in 1711, when a Royal Society study declared Newton the true discoverer and branded Leibniz a fraud; it was subsequently revealed that Newton himself had authored the study's concluding remarks concerning Leibniz. This marked the beginning of a protracted and acrimonious controversy that overshadowed the lives of both individuals until Leibniz's demise in 1716.
Newton's initial significant mathematical contribution was the generalized binomial theorem, formulated between 1664 and 1665, which applies to any exponent and has been lauded as "one of the most powerful and significant in the whole of mathematics." He also developed Newton's identities (likely unaware of Albert Girard's prior work in 1629), Newton's method, the Newton polygon, and systematically categorized cubic plane curves (polynomials of the third degree involving two variables). Furthermore, Newton is recognized as a founder of the theory of Cremona transformations and made substantial contributions to the theory of finite differences, earning him the distinction of "the single most significant contributor to finite difference interpolation" through his numerous formulaic innovations. He was the first to articulate Bézout's theorem, to utilize fractional indices, and to apply coordinate geometry for solving Diophantine equations. His work included approximating partial sums of the harmonic series using logarithms, a technique that foreshadowed Euler's summation formula, and he pioneered the confident application and reversion of power series. He also introduced the Puisseux series. The earliest explicit formulation of the general Taylor series was also provided by him, appearing in a 1691-1692 draft of his De Quadratura Curvarum. He originated the Newton-Cotes formulas for numerical integration. Newton's investigations into infinite series were influenced by Simon Stevin's work on decimals. He also initiated the field of calculus of variations, being the first to formulate and resolve a problem within it: Newton's minimal resistance problem, which he posed and solved in 1685 and subsequently published in Principia in 1687. This problem is considered one of the most challenging addressed by variational methods before the twentieth century. Subsequently, he applied calculus of variations to solve the brachistochrone curve problem in 1697, a challenge posed by Johann Bernoulli in 1696, famously resolving it overnight and thereby pioneering the field through his work on these two problems. Furthermore, he was a pioneer of vector analysis, demonstrating the application of the parallelogram law for summing diverse physical quantities and recognizing that these quantities could be decomposed into components along any direction. He is credited with introducing the concept of the vector in his Principia, by proposing that physical quantities such as velocity, acceleration, momentum, and force be conceptualized as directed quantities, thus establishing Newton as the "true originator of this mathematical object."
Newton likely pioneered the development of a strictly analytic system of polar coordinates, with his contributions to the subject surpassing all others during his lifetime in terms of both generality and flexibility. His 1671 work, Method of Fluxions, predated Jacob Bernoulli's initial publication on the topic in 1691. He is also recognized as the strict originator of bipolar coordinates.
A private manuscript by Newton, dating from 1664 to 1666, contains the earliest known problem in the domain of geometric probability. This problem concerned the probability of a negligible ball landing within one of two unequal sectors of a circle. In his analysis, he proposed replacing the enumeration of occurrences with a quantitative assessment and substituting the estimation of an area's proportion with a tally of points, leading to his recognition as the founder of stereology.
Newton is credited with the modern European origins of Gaussian elimination. Between 1669 and 1670, Newton observed that contemporary algebra texts lacked instruction for solving simultaneous equations, a deficiency he subsequently addressed. Although his notes remained unpublished for decades, their eventual release resulted in his textbook becoming highly influential, establishing the method of substitution and introducing the crucial terminology of 'extermination' (presently known as elimination).
During the 1660s and 1670s, Newton identified 72 of the 78 "species" of cubic curves, classifying them into four distinct types and systematizing his findings in subsequent publications. Nevertheless, a manuscript from the 1690s, analyzed later, revealed that Newton had identified all 78 cubic curves but opted not to publish the remaining six for undisclosed reasons. In 1717, likely with Newton's assistance, James Stirling demonstrated that all cubic curves belonged to one of these four types. Stirling asserted that these four types could be derived through plane projection from a single one, a claim that was substantiated in 1731, four years after Newton's passing.
In 1693, Newton briefly engaged with probability theory, corresponding with Samuel Pepys regarding the Newton–Pepys problem. This problem concerned the likelihood of rolling sixes from a specified number of dice. Outcome A was defined as at least one six appearing from six dice, outcome B as at least two sixes appearing from twelve dice, and outcome C as at least three sixes appearing from eighteen dice. Newton correctly identified outcome A as the most probable, while Pepys incorrectly selected outcome C. However, Newton's intuitive rationale for his solution contained flaws.
Optics
In 1666, Newton observed that the spectrum of colors emerging from a prism at the position of minimum deviation appeared oblong, even when the incident light ray was circular. This indicated that the prism refracted different colors at varying angles. This observation led him to conclude that color is an intrinsic property of light, a concept that had previously been a subject of considerable debate.
From 1670 to 1672, Newton delivered lectures on optics, during which he investigated the refraction of light. He demonstrated that the multicolored image produced by a prism, which he termed a spectrum, could be recomposed into white light using a lens and a second prism. Contemporary scholarship suggests that Newton's analysis and resynthesis of white light were influenced by corpuscular alchemy.
In his 1671 work on Newton's rings, he employed a methodology unprecedented in the 17th century. He averaged all observed differences and subsequently calculated the deviation between this average and the value for the first ring, thereby introducing a now-standard technique for mitigating measurement noise, a method not documented elsewhere at that time. He later extended this "error-slaying method" to his studies of equinoxes in 1700, an approach described as "altogether unprecedented." This application differed in that Newton "required good values for each of the original equinoctial times, and so he devised a method that allowed them to, as it were, self-correct." Newton also developed a technique recognized today as linear regression analysis. He formulated the first of the two 'normal equations' associated with ordinary least squares, averaged a dataset 50 years before Tobias Mayer (who was traditionally credited as the earliest practitioner), and ensured the residuals summed to zero, thereby forcing the regression line through the mean point. He distinguished between two disparate datasets and may have considered an optimal solution concerning bias, though not explicitly in terms of effectiveness.
Newton demonstrated that colored light retains its intrinsic characteristics regardless of its interaction with objects. By isolating a colored beam and directing it onto various surfaces, he showed that the light's color remained constant whether reflected, scattered, or transmitted. Consequently, he postulated that color results from objects interacting with pre-existing colored light, rather than objects generating color themselves. This concept is known as Newton's theory of color. His 1672 paper on the nature of white light and colors established the fundamental framework for all subsequent research on color and color vision.
Newton's research led him to conclude that refracting telescope lenses inherently suffered from chromatic aberration, the dispersion of light into various colors. To circumvent this issue, he devised and constructed a telescope employing reflective mirrors as the objective, rather than lenses. The development of this instrument, recognized today as the first functional reflecting telescope and known as a Newtonian telescope, necessitated overcoming challenges related to identifying an appropriate mirror material and perfecting shaping techniques. Prior designs for reflecting telescopes had either remained theoretical or proved unsuccessful, establishing Newton's device as the first truly operational one. Newton meticulously ground his mirrors from a bespoke alloy of highly reflective speculum metal, utilizing the phenomenon of Newton's rings to assess the optical quality of his telescopes. By late 1668, he successfully produced this initial reflecting telescope, an approximately eight-inch-long instrument that yielded clearer and magnified images. Newton documented his observations, noting his ability to discern Jupiter's four Galilean moons and the crescent phase of Venus with his new reflecting telescope. In 1671, the Royal Society requested a demonstration of his invention. This interest prompted him to publish his preliminary notes, Of Colours, which he subsequently expanded into the seminal work Opticks. Following Robert Hooke's criticisms of some of Newton's concepts, Newton, feeling affronted, initially withdrew from public discourse. Nevertheless, a brief correspondence between them occurred in 1679–80, initiated by Hooke, then Secretary of the Royal Society, to solicit Newton's contributions to the Society's transactions. This interaction ultimately spurred Newton to formulate a proof demonstrating that the elliptical trajectories of planetary orbits arise from a centripetal force inversely proportional to the square of the radius vector.
In the field of astronomy, Newton is also recognized for his insight that elevated locations offer superior observational conditions. He attributed this advantage to the "most serene and quiet Air" found above the denser, turbulent layers of the atmosphere, which he referred to as "grosser Clouds," thereby mitigating the twinkling effect of stars.
Newton posited that light consisted of particles, or corpuscles, which underwent refraction by accelerating upon entering a denser medium. While he approached a wave-like explanation for the periodic patterns of reflection and transmission observed in thin films (Opticks Bk. II, Props. 12), he simultaneously maintained his theory of 'fits,' which predisposed corpuscles to either reflection or transmission (Props.13). Notwithstanding his stated preference for a particle theory, Newton acknowledged in Opticks that light exhibited both particle-like and wave-like characteristics. He theorized that corpuscles must interact with waves within a medium to account for interference patterns and the broader phenomenon of diffraction.
In his 1675 work, Hypothesis of Light, Newton proposed the existence of an ether as the medium for transmitting forces between particles. His engagement with the Cambridge Platonist philosopher Henry More rekindled his interest in alchemy. Subsequently, Newton supplanted the ether concept with occult forces, drawing upon Hermetic principles of attraction and repulsion between particles. It is imperative to recognize that his scientific contributions are inextricably linked to his alchemical investigations, particularly given the historical period when a distinct demarcation between alchemy and science had not yet been established.
Newton advanced the study of astigmatism by establishing its mathematical underpinnings. He discovered that the refraction of oblique light pencils results in the formation of two distinct image points, a finding that subsequently influenced the research of Thomas Young.
In 1704, Newton published Opticks, a work that elaborated his corpuscular theory of light. The treatise concluded with a series of queries, presented as both unresolved questions and affirmative statements. Consistent with his corpuscle theory, Newton hypothesized that ordinary matter comprised "grosser corpuscles" and speculated on a form of alchemical transmutation, as articulated in Query 30: "Are not gross Bodies and Light convertible into one another, and may not Bodies receive much of their Activity from the Particles of Light which enter their Composition?" Furthermore, Query 6 introduced the foundational concept of a black body. Opticks is frequently cited as one of the "earliest exemplars of experimental procedure."
In 1699, Newton presented an enhanced iteration of his reflecting quadrant, also known as an octant, to the Royal Society, a device he had likely conceived as early as 1677. This instrument is significant for being the inaugural quadrant to incorporate two mirrors, a feature that substantially augmented measurement precision by simultaneously offering a stable perspective of both the horizon and celestial objects. Although constructed, Newton's quadrant does not appear to have endured to the present day. Subsequently, John Hadley developed his own double-reflecting quadrant, which bore a striking resemblance to Newton's original design. Nevertheless, Hadley was likely unaware of Newton's prior invention, which has historically led to ambiguities concerning the device's true originator.
In 1704, Newton engineered and unveiled a burning mirror to the Royal Society. This apparatus comprised seven concave glass mirrors, each approximately one foot in diameter. Its maximum potential radiant energy is estimated at 460 W cm⁻², a performance characterized as "certainly brighter thermally than a thousand Suns (1,000 × 0.065 W cm⁻²)," derived from an estimated solar radiation intensity of 0.065 W cm⁻² in London during May 1704. Consequently, the peak radiant intensity potentially achieved by this mirror suggests that Newton "may have produced the greatest intensity of radiation brought about by human agency before the arrival of nuclear weapons in 1945." Contemporary accounts from David Gregory indicate that the mirror induced metals to smoke, boiled gold, and caused the vitrification of slate. William Derham regarded it as the most potent burning mirror in Europe during that era.
Newton also undertook pioneering investigations into electricity, notably constructing a rudimentary frictional electrostatic generator utilizing a glass globe. This marked the first instance of employing glass for such a device, in contrast to sulfur globes previously used by scientists like Otto von Guericke. In 1675, he documented an experiment demonstrating that rubbing one side of a glass sheet to induce an electric charge caused "light bodies" to be attracted to the opposite side. He interpreted this phenomenon as evidence that electric forces could traverse glass. Furthermore, Newton informed the Royal Society that glass was effective in generating static electricity, classifying it as a "good electric" decades before this property gained widespread recognition. His proposition in Opticks, suggesting that optical reflection and refraction result from interactions across an entire surface, is considered a precursor to the field theory of electric force. He also acknowledged electricity's fundamental role in nature, attributing to it various phenomena, including the emission, reflection, refraction, inflection, and heating effects of light. Newton posited that electricity was integral to human bodily sensations, influencing processes from muscular movement to cerebral function. His theory of nervous transmission significantly impacted Luigi Galvani's research, as Newton's hypothesis centered on electricity as a potential mediator of nervous impulses, thereby challenging the prevailing Cartesian hydraulic theory of the era. He was also the first to articulate a comprehensive and balanced theory explaining the synergistic operation of both electrical and chemical mechanisms within the nervous system. Newton's mass-dispersion model, a precursor to the successful application of the least action principle, offered a robust framework for comprehending refraction, particularly through its momentum-based approach.
Within Opticks, Newton pioneered the concept of prisms functioning as beam expanders and multiple-prism arrays. These prismatic configurations were subsequently adopted nearly 278 years later in tunable lasers, where multiple-prism beam expanders proved instrumental in developing narrow-linewidth systems. The application of these prismatic beam expanders ultimately gave rise to the multiple-prism dispersion theory.
Newton was the first to hypothesize the Goos–Hänchen effect, an optical phenomenon characterized by a minor lateral displacement of linearly polarized light upon total internal reflection. He substantiated this theory with both experimental observations and a theoretical framework derived from a mechanical model.
The scientific community eventually distinguished between the subjective perception of color and the objective principles of mathematical optics. While the German polymath Johann Wolfgang von Goethe largely accepted Newtonian principles, he identified a critical flaw in Newton's assertions. Newton had posited that refraction without color was unattainable, leading him to conclude that telescope objective lenses would inherently remain flawed due to the incompatibility of achromatism and refraction. However, Dollond subsequently demonstrated the inaccuracy of this inference.
Philosophiæ Naturalis Principia Mathematica
Newton's foundational work on the theory of gravitation commenced as early as 1665. By 1679, he resumed his investigations into celestial mechanics, analyzing gravitation's influence on planetary orbits in conjunction with Kepler's laws of planetary motion. His renewed engagement with astronomical phenomena was further spurred by a comet's appearance during the winter of 1680–1681, prompting correspondence with John Flamsteed. Following discussions with Robert Hooke, Newton formulated a proof demonstrating that elliptical planetary orbits arise from a centripetal force inversely proportional to the square of the radius vector. These findings were subsequently presented to Edmond Halley and the Royal Society in De motu corporum in gyrum, a concise treatise approximately nine pages long, which was officially recorded in the Royal Society's Register Book in December 1684. Within this work, Newton also introduced the term 'centripetal force'. This treatise served as the foundational core that Newton would later elaborate and expand into the monumental Principia.
The seminal work, Philosophiæ Naturalis Principia Mathematica, was published on 5 July 1687, facilitated by the encouragement and financial support of Edmond Halley. Within this treatise, Newton articulated the three universal laws of motion. Collectively, these laws delineate the interplay between an object, the forces exerted upon it, and its subsequent motion, thereby establishing the bedrock of classical mechanics. These principles spurred countless technological advancements throughout the Industrial Revolution and remained unchallenged for over two centuries. A significant number of these foundational concepts continue to support contemporary non-relativistic technologies. Newton employed the Latin term gravitas (meaning 'weight') to describe the phenomenon subsequently termed gravity, and concurrently formulated the law of universal gravitation. This monumental achievement represented the inaugural grand unification in the field of physics. He successfully resolved the two-body problem and subsequently introduced the more complex three-body problem.
Within the same publication, Newton introduced a calculus-like method of geometrical analysis employing 'first and last ratios'. He also provided the inaugural analytical determination of the speed of sound in air, derived from Boyle's law, and deduced the oblateness of Earth's spheroidal shape. Furthermore, he explained the precession of the equinoxes as a consequence of the Moon's gravitational influence on Earth's oblate form, commenced the gravitational investigation into lunar motion irregularities, and presented a theoretical framework for predicting cometary orbits, among numerous other contributions. Newton's biographer, David Brewster, documented that the intricate application of his gravitational theory to lunar motion significantly impacted Newton's health. During his work on this problem in 1692–93, Newton reportedly 'was deprived of his appetite and sleep' and confided to astronomer John Machin that 'his head never ached but when he was studying the subject'. Brewster further recounted that Edmond Halley informed John Conduitt that when urged to finalize his analysis, Newton consistently responded that it caused him headaches and 'kept him awake so often, that he would think of it no more'. Additionally, he conducted the first experimental calculation of Earth's age and conceptualized a precursor to the contemporary wind tunnel.
Newton delineated two primary scenarios of gravitational attraction: the inverse-square law and a central force directly proportional to distance. He demonstrated that both principles result in stable conic-section orbits and that spherically symmetric objects behave as though their entire mass is concentrated at a single point. In contemporary physics, this linear force law is mathematically analogous to the force associated with the cosmological constant.
Newton significantly advanced fluid mechanics through Book II of his Principia. Subsequent analyses confirm the accuracy of nearly all its 53 propositions, with only a few remaining debatable. Propositions 1–18 represent the inaugural comprehensive exploration of motion subject to resistance proportional to velocity or its square. This led scholar Richard S. Westfall to assert that Newton "almost without precedent, created the scientific treatment of motion under conditions of resistance, that is, of motion as it is found in the world." Notably, Proposition 15 demonstrated that a body in circular orbit experiencing drag within an atmosphere where density decreases inversely with distance would follow an equiangular spiral, a finding later independently corroborated by Morduchow and Volpe (1973). In Section IX of Book II, Newton established the linear relationship between viscous resistance and velocity gradient, which now characterizes a Newtonian fluid, despite his experiments offering limited direct evidence of viscosity. Furthermore, Newton investigated the circular movement of fluids and pioneered the analysis of Couette flow, initially in Proposition 51 for a single rotating cylinder, and subsequently expanded in Corollary 2 to encompass flow between two concentric cylinders. He also became the first to analyze the resistance encountered by axisymmetric bodies traversing a rarefied medium.
Within the Principia, Newton presented the initial quantitative estimation of the Sun's mass. Subsequent editions, integrating more precise measurements, refined his calculation of the Sun-to-Earth mass ratio to approximate modern values. He additionally calculated the masses and densities of Jupiter and Saturn, thereby establishing a unified comparative scale for these four celestial entities: the Sun, Earth, Jupiter, and Saturn. This particular accomplishment by Newton has been lauded as "a supreme expression of the doctrine that one set of physical concepts and principles applies to all bodies on earth, the earth itself, and bodies anywhere throughout the universe."
Newton articulated a heliocentric perspective of the Solar System, which was notably advanced for its time, as he had already identified the "deviation of the Sun" from the Solar System's center of gravity by the mid-1680s. According to Newton, the true stationary point was not precisely the center of the Sun or any other individual celestial body. Instead, he posited that "the common centre of gravity of the Earth, the Sun and all the Planets is to be esteem'd the Centre of the World," and this gravitational center "either is at rest or moves uniformly forward in a right line." Newton favored the "at rest" interpretation, aligning with the prevailing consensus that the universe's center, regardless of its exact location, remained stationary.
Newton faced criticism for incorporating "occult agencies" into scientific discourse, specifically due to his postulation of an invisible force capable of acting across immense distances. Subsequently, in the 1713 second edition of the Principia, Newton decisively refuted these critiques within a concluding General Scholium. He asserted that the observed phenomena sufficiently demonstrated gravitational attraction, even if they did not reveal its underlying cause. Consequently, he deemed it both superfluous and inappropriate to formulate hypotheses regarding aspects not directly implied by empirical observations. It was in this context that he famously articulated the phrase "Hypotheses non fingo".
The publication of the Principia garnered Newton international acclaim. He subsequently attracted a cohort of admirers, among whom was the Swiss-born mathematician Nicolas Fatio de Duillier.
Other Significant Contributions
Newton investigated heat and energy transfer, developing an empirical law of cooling. This law posits that an object's cooling rate is directly proportional to the temperature differential between the object and its ambient surroundings. First articulated in 1701, this represented the initial formalization of heat transfer and established the foundational principles for convective heat transfer, subsequently integrated into the work of Joseph Fourier.
Isaac Newton provided the initial qualitative description of what would later be formally recognized as the Magnus effect, predating Heinrich Magnus's experimental investigations by almost two centuries. In a 1672 text, Newton documented his observation of tennis players at Cambridge College, noting the curved trajectory of a tennis ball struck obliquely with a spinning motion. He posited that the interplay of the ball's rotational and translational movements resulted in one side exerting a more forceful interaction with the surrounding air, leading to a "reluctancy and reaction of the air proportionably greater" on that side. This constituted a perceptive early insight into the pressure differential that generates lateral deflection.
Philosophy of Science
Isaac Newton's philosophical contributions were profoundly influential, and a comprehensive understanding of the philosophical milieu of the late seventeenth and early eighteenth centuries necessitates an acknowledgment of his pivotal role. Throughout history, Newton has been widely recognized as a foundational figure in modern philosophy. For instance, Johann Jakob Brucker's Historia Critica Philosophiae (1744), which is considered the inaugural comprehensive modern history of philosophy, prominently featured Newton as a central philosophical intellect. This representation significantly influenced the conceptualization of modern philosophy among prominent Enlightenment thinkers, including Denis Diderot, Jean le Rond d'Alembert, and Immanuel Kant.
Commencing with the second edition of his seminal work, Principia, Newton incorporated a concluding section dedicated to the philosophy or methodology of science. Within this section, he famously articulated, in Latin, "hypotheses non fingo," which translates to "I do not feign hypotheses." In this context, Newton was advocating against the formulation of unsubstantiated hypotheses in scientific inquiry. Newton's assertion, "hypotheses non fingo," underscored his refusal to engage in speculation regarding causes not directly substantiated by observable phenomena. Harper elucidates that Newton's experimental philosophy mandates a clear differentiation between hypotheses, defined as unverified conjectures, and propositions derived from phenomena and subsequently generalized through inductive reasoning. Newton contended that authentic scientific investigation necessitates the rigorous grounding of explanations exclusively in empirical data, rather than relying on speculative reasoning. Consequently, Newton argued that advancing hypotheses devoid of empirical support compromises the integrity of experimental philosophy, as hypotheses ought to function solely as provisional suggestions subservient to observational evidence.
His original Latin text states:
Rationem vero harum gravitatis proprietatum ex phaenomenis nondum potui deducere, & hypotheses non fingo. Quicquid enim ex phaenomenis non deducitur, hypothesis vocanda est; & hypotheses, seu metaphysicae, seu physicae, seu qualitatum occultarum, seu mechanicae, in philosophia experimentali locum non habent. In hac philosophia propositiones deducuntur ex phaenomenis, et redduntur generales per inductionem.
This passage translates to:
"Hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses, for whatever is not deduced from the phenomena is to be called an hypothesis; and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanical, have no place in experimental philosophy. In this philosophy particular propositions are inferred from the phenomena, and afterwards rendered general by induction".
Newton significantly advanced and refined the scientific method. His investigations into the properties of light during the 1670s exemplified his rigorous methodological approach. This involved systematically conducting experiments, meticulously recording observations, taking precise measurements, and then designing further experiments based on initial findings. He subsequently formulated a theory, devised additional experiments to rigorously test it, and ultimately documented the entire process with sufficient detail to enable other scientists to replicate each stage.
In his 1687 treatise, Principia, Newton delineated four fundamental rules: The first rule states: 'We are to admit no more causes of natural things than such as are both true and sufficient to explain their appearances.' The second rule posits: 'To the same natural effects we must, as far as possible, assign the same causes.' The third rule asserts: 'The qualities of bodies, which admit neither intensification nor remission of degrees, and which are found to belong to all bodies within the reach of our experiments, are to be esteemed the universal qualities of all bodies whatsoever.' Finally, the fourth rule declares: 'In experimental philosophy we are to look upon propositions inferred by general induction from phenomena as accurately or very nearly true, notwithstanding any contrary hypotheses that may be imagined, till such time as other phenomena occur, by which they may either be made more accurate, or liable to exceptions.' These principles have subsequently formed the foundational tenets of modern scientific methodologies.
Newton's scientific methodology significantly advanced beyond mere prediction through three crucial enhancements, thereby augmenting the fundamental hypothetico-deductive framework. Firstly, it introduced a more sophisticated standard for empirical validation, necessitating that observed phenomena precisely quantify theoretical variables. Secondly, it converted abstract theoretical inquiries into questions amenable to empirical resolution through measurement. Thirdly, it employed tentatively accepted hypotheses to direct investigations, facilitating a process of successive approximations where discrepancies prompted the development of more refined models. This powerful approach, characterized by theory-mediated measurements, was subsequently embraced by his followers for applying his theories to astronomy and continues to constitute a cornerstone of contemporary physics.
Later Life
Royal Mint
During the 1690s, Newton authored several religious treatises that explored both the literal and symbolic interpretations of the Bible. One manuscript, dispatched by Newton to John Locke, challenged the authenticity of 1 John 5:7—known as the Johannine Comma—and its correspondence with the original New Testament manuscripts; this work was not published until 1785.
Newton also served as a Member of Parliament for Cambridge University in the English Parliament during 1689 and 1701. Anecdotal reports suggest his sole contributions to parliamentary discourse involved expressing discomfort about a cold draft and requesting the closure of a window. Nevertheless, the Cambridge diarist Abraham de la Pryme recorded Newton reprimanding students who were alarming local residents by asserting that a particular house was haunted.
In 1696, Newton relocated to London to assume the role of Warden of the Mint under King William III, a position secured through the patronage of Charles Montagu, 1st Earl of Halifax, who was then Chancellor of the Exchequer. He oversaw England's extensive recoinage effort, encountered conflicts with Robert Lucas, 3rd Baron Lucas of Shenfield, the Governor of the Tower, and arranged for Edmond Halley to become deputy comptroller of the provisional Chester branch. Following the death of Thomas Neale in 1699, Newton ascended to the position of Master of the Mint, a role he occupied for the final three decades of his life and for which he became widely recognized. Although these appointments were typically regarded as sinecures, Newton approached them with considerable dedication. He relinquished his responsibilities at Cambridge in 1701 and utilized his authority to implement currency reforms and prosecute individuals involved in clipping and counterfeiting.
In his capacities as both Warden and subsequently Master of the Royal Mint, Newton estimated that approximately 20 percent of the coinage collected during the Great Recoinage of 1696 was counterfeit. Counterfeiting constituted high treason, a crime punishable by hanging, drawing, and quartering. Notwithstanding the severity of the penalty, securing convictions against even the most egregious offenders presented significant challenges, yet Newton demonstrated remarkable efficacy in this endeavor.
Adopting the guise of a frequent patron of bars and taverns, Newton personally collected a substantial portion of the incriminating evidence. Despite the procedural obstacles to prosecution and the separation of governmental powers, English law retained formidable and ancient traditions of authority. Newton arranged for his own appointment as a justice of the peace across all home counties. A preliminary letter concerning this matter is found within Newton's personal first edition of Philosophiæ Naturalis Principia Mathematica, which he was presumably annotating at that period. Subsequently, between June 1698 and Christmas 1699, he conducted over 100 cross-examinations of witnesses, informants, and suspects. His efforts led to the successful prosecution of 28 coiners, notably including the prolific counterfeiter William Chaloner, who was subsequently executed by hanging.
In addition to his efforts against counterfeiters, Newton enhanced minting technology, decreasing the standard deviation of guinea weights from 1.3 grams to 0.75 grams. Commencing in 1707, he instituted the practice of testing a small, one-pound sample of coins during the trial of the pyx, which contributed to minimizing the permissible margin of error. Ultimately, his innovations, which remained effective until the 1770s, saved the Treasury an estimated £41,510 at the time, equivalent to approximately £3 million in 2012, thereby improving the precision of British coinage. He substantially augmented the Mint's productivity, elevating the weekly coin output from 15,000 pounds to 100,000 pounds. Newton is also recognized for initiating early forms of time and motion studies, though his contributions involved theoretical computations of physical capacity rather than the development of a standardized industrial productivity model.
Newton's engagements at the Royal Mint significantly influenced emerging scientific and commercial interests in disciplines such as numismatics, geology, mining, metallurgy, and metrology during the early 18th century.
Newton held an advanced economic perspective, considering paper credit, such as government debt, a pragmatic and judicious remedy for the constraints inherent in a purely metallic monetary system. He posited that an expanded issuance of such paper credit could reduce interest rates, thereby fostering commercial activity and generating employment opportunities. Newton also maintained an unconventional, minority viewpoint that the valuation of both metallic and paper currencies was determined by public perception and confidence.
Newton assumed the presidency of the Royal Society in 1703 and became an associate of the French Académie des Sciences. In his capacity at the Royal Society, Newton antagonized John Flamsteed, the Astronomer Royal, by prematurely publishing Flamsteed's Historia Coelestis Britannica, a work Newton had utilized in his own research.
Knighthood
Queen Anne conferred a knighthood upon Newton during a royal This honor was likely prompted by political considerations related to the parliamentary election of May 1705, rather than an acknowledgment of his scientific contributions or his service as Master of the Mint. He was the second scientist to receive a knighthood, following Francis Bacon.
Following a report submitted by Newton to the Lords Commissioners of His Majesty's Treasury on 21 September 1717, a royal proclamation on 22 December 1717 altered the bimetallic ratio between gold and silver coinage, prohibiting the exchange of gold guineas for more than 21 silver shillings. This measure unintentionally led to a scarcity of silver, as silver coins were utilized for import payments, while exports were settled in gold. This effectively transitioned Britain from a silver standard to its inaugural gold standard. Whether this outcome was intentional remains a subject of scholarly debate. Some scholars contend that Newton perceived his responsibilities at the Mint as an extension of his alchemical pursuits.
Newton held investments in the South Sea Company and incurred losses of at least £10,000, potentially exceeding £20,000 (equivalent to £4.4 million in 2020), upon its collapse around 1720. Despite these losses, Newton's substantial pre-bubble wealth ensured he remained affluent at his death, with his estate valued at approximately £30,000.
In his later years, Newton occasionally resided at Cranbury Park, near Winchester, the country estate of his niece and her husband, although his primary residence remained in London. His half-niece, Catherine Barton, acted as his hostess for social engagements at his Jermyn Street residence in London. A preserved letter from 1700, penned during her recovery from smallpox, concludes with Newton's phrase "your very loving uncle," a demonstration of familial solicitude characteristic of seventeenth-century epistolary conventions. Historian Patricia Fara observes that the letter's tenor is affectionate and paternal, offering medical counsel and concern for her appearance during convalescence, without any romantic undertones.
Wealth
Newton periodically engaged in active investment, notably participating in the South Sea Bubble. Upon his demise, his estate was appraised at approximately £30,000, an amount equivalent to nearly £1 billion in contemporary currency.
Death
Newton passed away in his sleep in London on 20 March 1727 (NS 31 March 1727), at the age of 84. He received a state funeral, marking the first such honor in England for an individual primarily celebrated for intellectual accomplishments. The Lord Chancellor, two dukes, and three earls served as pallbearers, accompanied by the majority of the Royal Society. His remains lay in state at Westminster Abbey for eight days prior to interment in the nave. Newton was the inaugural scientist to be interred within the Abbey. Voltaire is believed to have attended his funeral. As a bachelor, he had distributed a significant portion of his estate to relatives in his final years and died without a will. His personal papers were bequeathed to John Conduitt and Catherine Barton.
Subsequent to his death, a plaster death mask of Newton was cast. This mask was subsequently utilized by the Flemish sculptor John Michael Rysbrack to create a sculpture of Newton. The Royal Society currently possesses this artifact.
A posthumous examination of Newton's hair revealed the presence of mercury, likely attributable to his alchemical endeavors. Mercury poisoning has been proposed as a potential explanation for Newton's eccentric behavior in his later years.
Personality
Newton has been described as an exceptionally driven and disciplined individual who devoted his existence to his intellectual pursuits. He is recognized for possessing a remarkable capacity for labor, which he prioritized over his personal well-being. Newton also exercised stringent control over his physical desires, being abstemious in his consumption of food and drink and adopting a vegetarian diet in his later years. While Newton was a reclusive and neurotic personality, he is not classified as psychotic or bipolar. He has been characterized as an "extraordinary polymath" who was "profoundly versatile," with his initial inquiries encompassing the development of a phonetic alphabet and a universal language.
The broad spectrum of Newton's intellectual pursuits is evident in his personal library, comprising 1,752 identifiable volumes. A significant proportion comprised theological texts (27.2%, or 477 books), succeeded by works on alchemy (9.6%, 169 books), mathematics (7.2%, 126 books), physics (3.0%, 52 books), and finally astronomy (1.9%, 33 books). Remarkably, volumes directly pertaining to his renowned scientific contributions constituted less than 12% of the entire collection.
Despite claims of a prior engagement, Newton remained unmarried throughout his life. Voltaire, present in London during Newton's funeral, asserted that Newton "was never sensible to any passion, was not subject to the common frailties of mankind, nor had any commerce with women—a circumstance which was assured me by the physician and surgeon who attended him in his last moments."
Newton cultivated a close friendship with the Swiss mathematician Nicolas Fatio de Duillier, whom he encountered in London circa 1689; portions of their correspondence are extant. Their association concluded abruptly and inexplicably in 1693, coinciding with Newton's experience of a nervous breakdown, manifested through the dispatch of erratic and accusatory letters to his acquaintances Samuel Pepys and John Locke. In his communication to Locke, Newton alleged that Locke had attempted to "embroil" him with "woemen & by other means."
Newton presented himself as relatively modest regarding his accomplishments, stating in a subsequent memoir, "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 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." Nevertheless, he exhibited intense competitiveness and occasionally harbored resentments against his intellectual adversaries, resorting to personal attacks when strategically advantageous—a characteristic prevalent among many of his contemporaries. For instance, in a letter addressed to Robert Hooke in February 1675, he acknowledged, "If I have seen further it is by standing on the shoulders of giants." Certain historians have posited that this statement, composed during a period of contention between Newton and Hooke concerning optical discoveries, constituted an indirect slight against Hooke, who was purportedly of short stature and hunchbacked, rather than solely an expression of humility. Conversely, the well-known aphorism concerning standing on the shoulders of giants, which appears in works such as the 17th-century poet George Herbert's Jacula Prudentum (1651), primarily conveys that "a dwarf on a giant's shoulders sees farther of the two," thereby implicitly positioning Newton himself, rather than Hooke, as the 'dwarf' with superior vision.
Theology
Religious views
Despite his Anglican upbringing, Newton had, by his third decade, formulated heterodox beliefs, leading historian Stephen Snobelen to characterize him as a heretic. Nevertheless, during his lifetime, Newton was regarded as a profound and discerning theologian, commanding respect from his contemporaries, as evidenced by Thomas Tenison, then Archbishop of Canterbury, remarking to him, "You know more divinity than all of us put together," and the philosopher John Locke characterizing him as "a very valuable man not onely for his wonderful skill in Mathematicks but in divinity too and his great knowledg in the Scriptures where in I know few his equals." By 1680, his standing in biblical scholarship was firmly established. John Mill solicited his counsel regarding a critical edition of the New Testament, and they engaged in a brief exchange of letters concerning the interpretation of the initial chapters of Genesis. Thomas Burnet consulted Newton on preliminary versions of Telluris theoria sacra, and he engaged in discussions with Henry More at Cambridge concerning the interpretation of the Apocalypse.
William Stukeley documented Newton's assiduousness in his reading and study of the Bible:
Newton's profound engagement with the Bible was unparalleled in England, evidenced by his published works, numerous unpublished manuscripts, and the exceptionally worn condition of his personal Bible, indicating extensive and frequent study.
Commencing in 1672, Newton meticulously documented his theological investigations in private notebooks, which remained inaccessible until their public release in 1972. More than half of Newton's extensive writings focused on theology and alchemy, with the majority remaining unpublished. These documents demonstrate his profound familiarity with early Church texts and indicate his alignment with Arius, who challenged the orthodox doctrine of the Trinity and was defeated by Athanasius in the theological dispute concerning the Creed. Newton perceived Christ as a divine intermediary between God and humanity, subordinate to the Father who created him. His particular interest lay in prophecy, yet he considered Trinitarianism to be the "great apostasy."
Newton initially failed in his attempts to secure one of the two fellowships that provided exemption from the ordination requirement. However, in 1675, he ultimately obtained a government dispensation that excused both him and all subsequent occupants of the Lucasian chair from this obligation.
Newton considered the worship of Jesus Christ as God to be idolatry, a practice he deemed the foundational sin. In 1999, Snobelen asserted that "Isaac Newton was a heretic. But ... he never made a public declaration of his private faith—which the orthodox would have deemed extremely radical. He hid his faith so well that scholars are still unraveling his personal beliefs." Snobelen's analysis suggests that Newton was, at minimum, a Socinian sympathizer (evidenced by his ownership and thorough reading of at least eight Socinian texts), potentially an Arian, and almost certainly an anti-Trinitarian.
While Newton's laws of motion and universal gravitation are his most celebrated discoveries, he cautioned against interpreting the Universe as a purely mechanistic system, akin to a grand clock. He articulated, "So then gravity may put the planets into motion, but without the Divine Power it could never put them into such a circulating motion, as they have about the sun."
Beyond his scientific renown, Newton's extensive studies of the Bible and the early Church Fathers were equally significant. He authored works of textual criticism, prominently including An Historical Account of Two Notable Corruptions of Scripture and Observations upon the Prophecies of Daniel, and the Apocalypse of St. John. Newton calculated the crucifixion of Jesus Christ to have occurred on 3 April, AD 33, a date consistent with one traditionally accepted historical estimate.
Newton espoused a belief in a rationally immanent world, yet he explicitly rejected the hylozoism inherent in the philosophies of Gottfried Wilhelm Leibniz and Baruch Spinoza. He contended that the ordered and dynamically structured Universe was comprehensible, and indeed necessitated comprehension, through active reason. In his correspondence, Newton stated that his objective in composing the Principia was to establish "such Principles as might work with considering men for the belief of a Deity." He perceived evidence of intelligent design within the cosmic order, asserting that "Such a wonderful uniformity in the planetary system must be allowed the effect of choice." However, Newton maintained that divine intervention would ultimately be necessary to rectify the system due to the gradual accumulation of instabilities. Leibniz, in response, satirized this view, remarking: "God Almighty wants to wind up his watch from time to time: otherwise it would cease to move. He had not, it seems, sufficient foresight to make it a perpetual motion."
Newton's stance was subsequently defended by his adherent, Samuel Clarke, in a notable correspondence. A century thereafter, Pierre-Simon Laplace's treatise, Celestial Mechanics, offered a naturalistic explanation for the stability of planetary orbits, obviating the need for periodic divine intervention. The stark contrast between Laplace's mechanistic cosmology and Newton's perspective is most vividly illustrated by the French scientist's celebrated reply to Napoleon, who had critiqued the absence of a Creator in Mécanique céleste: "Sire, j'ai pu me passer de cette hypothèse" ("Sir, I can do without this hypothesis").
The scholarly community extensively debated Isaac Newton's stance on the doctrine of the Trinity. David Brewster, Newton's initial biographer and compiler of his manuscripts, suggested that Newton questioned the authenticity of certain passages supporting the Trinity, yet did not explicitly repudiate the doctrine itself. However, in the twentieth century, the decryption of Newton's encrypted manuscripts, acquired by John Maynard Keynes and others, revealed his definitive rejection of Trinitarianism.
Isaac Newton generally supported the future restoration of the Jewish people to the Land of Israel, viewing it as an element of biblical prophecy, though he avoided specifying an exact date. This perspective was prevalent among theologians and natural philosophers of the seventeenth and early eighteenth centuries, encompassing individuals associated with the Royal Society and academic institutions. For Newton and his contemporaries, including John Locke and Daniel Whitby, the conviction in a future restoration served primarily as a theological counter-argument to deist criticisms, rather than a commentary on contemporary Jewish communities. It aimed to bolster Christianity's messianic assertions by referencing both fulfilled and anticipated prophecies.
Religious Thought
The mechanical philosophy advocated by Isaac Newton and Robert Boyle was championed by rationalist pamphleteers as a credible alternative to pantheism and religious enthusiasm. This approach received cautious acceptance from both orthodox and dissident preachers, including latitudinarians. The perceived clarity and simplicity of scientific inquiry were considered effective in countering the emotional and metaphysical excesses of superstitious fervor and the perceived threat of atheism. Concurrently, the second wave of English deists leveraged Newton's discoveries to illustrate the feasibility of a "Natural Religion."
Critiques targeting pre-Enlightenment "magical thinking" and the mystical dimensions of Christianity found their basis in Robert Boyle's mechanical understanding of the universe. Newton further developed Boyle's concepts, providing mathematical substantiation and, significantly, achieving widespread popularization of these ideas.
Alchemy
Approximately one million words within Newton's estimated ten million words of extant papers are dedicated to alchemy. A substantial portion of Newton's alchemical writings consists of annotated copies of other manuscripts. Alchemical texts typically integrate practical artisanal knowledge with philosophical inquiry, frequently employing wordplay, allegory, and intricate imagery to safeguard esoteric craft secrets. Certain elements within Newton's papers might have been deemed heretical by ecclesiastical authorities.
In 1888, following sixteen years of cataloging Newton's papers, Cambridge University retained a limited selection while returning the remainder to the Earl of Portsmouth. By 1936, a descendant placed these papers for sale at Sotheby's, where the collection was disaggregated and sold for approximately £9,000. John Maynard Keynes was among roughly three dozen bidders who acquired portions of the collection at auction. Keynes subsequently reassembled an estimated half of Newton's alchemical papers before bequeathing his collection to Cambridge University in 1946.
All of Isaac Newton's documented alchemical writings are currently being digitized and made accessible online through a project by Indiana University, titled "The Chymistry of Isaac Newton," and have also been summarized in a published book.
Isaac Newton's foundational scientific contributions encompass the quantification of gravitational attraction, the revelation that white light comprises immutable spectral colors, and the development of calculus. However, a less understood and more enigmatic aspect of Newton's life exists, involving an area of activity spanning approximately thirty years, which he largely concealed from his contemporaries and peers. This refers to Newton's engagement with alchemy, or "chymistry," as it was frequently termed in seventeenth-century England.
During June 2020, two previously unreleased pages of Isaac Newton's annotations on Jan Baptist van Helmont's book concerning the plague, De Peste, were offered for online auction by Bonhams. According to Bonhams, Newton's examination of this text, undertaken in Cambridge during his self-isolation from the 1665–66 London bubonic plague epidemic, represents his most extensive known written commentary on the plague. Regarding therapeutic approaches, Newton documented that "the best is a toad suspended by the legs in a chimney for three days, which at last vomited up earth with various insects in it, on to a dish of yellow wax, and shortly after died. Combining powdered toad with the excretions and serum made into lozenges and worn about the affected area drove away the contagion and drew out the poison".
Legacy
Recognition
Joseph-Louis Lagrange, a prominent mathematician and physicist, frequently posited that Newton represented the pinnacle of human genius. He further remarked that Newton was "the most fortunate, for we cannot find more than once a system of the world to establish." The renowned English poet Alexander Pope composed the celebrated epitaph:
Nature, and Nature's laws lay hid in night.
God said, Let Newton be! and all was light.
However, this inscription was not permitted on Newton's monument in Westminster Abbey. The epitaph ultimately included reads as follows:
H. S. E. ISAACUS NEWTON Eques Auratus, / Qui, animi vi prope divinâ, / Planetarum Motus, Figuras, / Cometarum semitas, Oceanique Aestus. Suâ Mathesi facem praeferente / Primus demonstravit: / Radiorum Lucis dissimilitudines, / Colorumque inde nascentium proprietates, / Quas nemo antea vel suspicatus erat, pervestigavit. / Naturae, Antiquitatis, S. Scripturae, / Sedulus, sagax, fidus Interpres / Dei O. M. Majestatem Philosophiâ asseruit, / Evangelij Simplicitatem Moribus expressit. / Sibi gratulentur Mortales, / Tale tantumque exstitisse / HUMANI GENERIS DECUS. / NAT. XXV DEC. A.D. MDCXLII. OBIIT. XX. MAR. MDCCXXVI,
A translation of this inscription is provided below:
Here lies 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.
Science writer John G. Simmons positioned Newton as the foremost figure in The Scientific 100, a ranking derived from a qualitative evaluation of scientists' cumulative influence, characterizing him as "the most influential figure in the history of Western science". Physicist Peter Rowlands identified Newton as "the central figure in the history of science," asserting that he "more than anyone else is the source of our great confidence in the power of science." The publication New Scientist referred to Newton as "the supreme genius and most enigmatic character in the history of science". Philosopher and historian David Hume similarly proclaimed Newton to be "the greatest and rarest genius that ever arose for the ornament and instruction of the species". At Monticello, his personal residence, Thomas Jefferson—a Founding Father and President of the United States—maintained portraits of John Locke, Sir Francis Bacon, and Newton. He characterized these three as "the three greatest men that have ever lived, without any exception," attributing to them the establishment of "the foundation of those superstructures which have been raised in the Physical and Moral sciences". The writer and philosopher Voltaire remarked concerning Newton that "If all the geniuses of the universe were assembled, Newton should lead the band". Neurologist and psychoanalyst Ernest Jones described Newton as "the greatest genius of all times". Mathematician Guillaume de l'Hôpital held a near-mythical reverence for Newton, articulating it through a profound inquiry and declaration: "Does Mr. Newton eat, or drink, or sleep like other men? I represent him to myself as a celestial genius, entirely disengaged from matter."
Newton has been characterized as "the towering figure of the Scientific Revolution" and as "simply the most outstanding" among the many distinguished thinkers of his era. The polymath Johann Wolfgang von Goethe designated 1642, the year of Galileo Galilei's death and Newton's birth, as the "Christmas of the modern age." Vilfredo Pareto, another polymath, considered Newton the greatest individual in human history. During the bicentennial of Newton's death in 1927, astronomer James Jeans declared him "certainly the greatest man of science, and perhaps the greatest intellect, the human race has seen." Physicist Peter Rowlands similarly suggested that Newton "possibly possessed the most powerful intellect in the whole of human history." Newton initiated four transformative shifts in optics, mathematics, mechanics, and gravity, and also anticipated a fifth in electricity, though he lacked the capacity in his later years to fully realize it. His contributions are widely regarded as the most instrumental in the development of modern science.
The historian of science James Gleick observed that Newton "discovered more of the essential core of human knowledge than anyone before or after," elaborating:
He was chief architect of the modern world. He answered the ancient philosophical riddles of light and motion, and he effectively discovered gravity. He showed how to predict the courses of heavenly bodies and so established our place in the cosmos. He made knowledge a thing of substance: quantitative and exact. He established principles, and they are called his laws.
Physicist Ludwig Boltzmann described Newton's Principia as "the first and greatest work ever written about theoretical physics." Similarly, physicist Stephen Hawking referred to Principia as "probably the most important single work ever published in the physical sciences." Mathematician and physicist Joseph-Louis Lagrange hailed Principia as "the greatest production of the human mind," expressing that "he felt dazed at such an illustration of what man's intellect might be capable."
Physicist Edward Andrade asserted that Newton "was capable of greater sustained mental effort than any man, before or since." He further commented on Newton's historical significance, stating:
From time to time in the history of mankind a man arises who is of universal significance, whose work changes the current of human thought or of human experience, so that all that comes after him bears evidence of his spirit. Such a man was Shakespeare, such a man was Beethoven, such a man was Newton, and, of the three, his kingdom is the most widespread.
The French physicist and mathematician Jean-Baptiste Biot lauded Newton's genius, remarking:
Never was the supremacy of intellect so justly established and so fully confessed . . . In mathematical and in experimental science without an equal and without an example; combining the genius for both in its highest degree.
Despite his notable rivalry with Gottfried Wilhelm Leibniz, Leibniz himself acknowledged Newton's contributions. When questioned by Sophia Charlotte, Queen of Prussia, at a 1701 dinner regarding his opinion of Newton, Leibniz responded:
Taking mathematics from the beginning of the world to the time of when Newton lived, what he had done was much the better half.
Mathematician E.T. Bell positioned Newton alongside Carl Friedrich Gauss and Archimedes as one of the three preeminent mathematicians in history, a sentiment echoed by Donald M. Davis, who similarly noted Newton's consistent ranking with these two figures. In a 1962 article published in The Mathematics Teacher, Walter Crosby Eells conducted an objective assessment to identify the most distinguished mathematicians of all time, placing Newton first among the top 100, a ranking statistically affirmed even after accounting for potential error. Clifford A. Pickover, a science editor and author, also ranked Newton as the most influential mathematician in his 2001 book, Wonders of Numbers, which listed the top ten. In The Cambridge Companion to Isaac Newton (2016), Newton is characterized as an "extraordinary problem-solver" from an early age, potentially unparalleled in human history. He is ultimately regarded as one of the top two or three greatest theoretical scientists, alongside James Clerk Maxwell and Albert Einstein; the foremost mathematician, alongside Carl F. Gauss; and a leading experimentalist. This unique combination places "Newton in a class by himself among empirical scientists, for one has trouble in thinking of any other candidate who was in the first rank of even two of these categories." Furthermore, his exceptional capacity to situate his scientific endeavors within a broader perspective, particularly when compared to subsequent scientists, has been highlighted. Gauss himself held Archimedes and Newton in high esteem, employing terms such as clarissimus or magnus for other notable intellectuals, including mathematicians and philosophers, but reserved the superlative summus exclusively for Newton. Upon recognizing the profound impact of Newton's work on scientists like Lagrange and Pierre-Simon Laplace, Gauss famously proclaimed, "Newton remains forever the master of all masters!"
William H. Cropper, a chemist, underscored Newton's unparalleled genius in his book Great Physicists, asserting:
One assessment unequivocally concludes that Newton represents the greatest creative genius in the history of physics. No other contender for this superlative distinction—including Einstein, Maxwell, Boltzmann, Gibbs, and Feynman—has equaled Newton's integrated accomplishments as a theoretician, experimentalist, and mathematician.
Albert Einstein displayed a portrait of Newton in his study, alongside those of Michael Faraday and James Clerk Maxwell. Einstein posited that Newton's development of calculus, particularly in conjunction with his laws of motion, constituted "perhaps the greatest advance in thought that a single individual was ever privileged to make." He further emphasized Newton's profound influence, remarking:
The entire progression of our understanding concerning natural processes, which has been our focus thus far, could be perceived as an organic evolution stemming from Newton's concepts.
In 1999, a survey involving 100 prominent physicists of the era designated Einstein as the "greatest physicist ever," with Newton securing the second position. Conversely, a concurrent poll of general physicists ranked Newton as the foremost. A 2005 dual survey, encompassing both the public and members of Britain's Royal Society, posed two inquiries: which individual, Newton or Einstein, made more significant overall contributions to science, and which made greater positive contributions to humanity. Across both demographic groups and for both questions, the prevailing consensus indicated that Newton had provided the more substantial overall contributions.
In 1999, Time magazine recognized Newton as the Person of the Century for the 17th century. He was ranked sixth in the 2002 BBC poll for the 100 Greatest Britons. Nevertheless, in 2003, a BBC World poll designated him the greatest Briton, with Winston Churchill in second place. Furthermore, in 2009, University of Cambridge students voted him the greatest Cantabrigian.
Physicist Lev Landau established a logarithmic scale, ranging from 0 to 5, to evaluate physicists based on their productivity and genius. Newton received the highest possible ranking of 0, while Einstein was placed at 0.5. Prominent figures in quantum mechanics, including Werner Heisenberg and Paul Dirac, were assigned a rank of 1. Landau himself, a Nobel laureate and the discoverer of superfluidity, was positioned at 2 on this scale.
The SI derived unit for force, the newton, is named in his honor.
The majority of Isaac Newton's surviving scientific and technical documents are housed at Cambridge University. The Cambridge University Library holds the most extensive collection, with additional papers located at King's College, Trinity College, and the Fitzwilliam Museum. An archive dedicated to his theological and alchemical writings is preserved at the National Library of Israel, complemented by smaller collections at the Smithsonian Institution, Stanford University Library, and the Huntington Library. The Royal Society in London also maintains a selection of his manuscripts. In 2015, UNESCO recognized the global significance of the Israel collection by inscribing it on its Memory of the World International Register, with the Cambridge and Royal Society collections added to this register in 2017.
The Apple Anecdote
Newton frequently recounted the narrative that his theory of gravitation was inspired by observing an apple fall from a tree. This story is widely believed to have entered popular discourse after being shared by Catherine Barton, Newton's niece, with Voltaire. Subsequently, Voltaire documented in his Essay on Epic Poetry (1727) that "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree."
While the veracity of the apple story is occasionally questioned, Newton's acquaintances attributed the account to him directly, though they did not include the apocryphal detail of the apple striking his head. William Stukeley, whose 1752 manuscript account is accessible through the Royal Society, recorded a conversation with Newton in Kensington on April 15, 1726, stating:
we went into the garden, & drank thea under the shade of some appletrees, only he, & myself. amidst other discourse, he told me, he was just in the same situation, as when formerly, the notion of gravitation came into his mind. "why should that apple always descend perpendicularly to the ground," thought he to him self: occasion'd by the fall of an apple, as he sat in a comtemplative mood: "why should it not go sideways, or upwards? but constantly to the earths centre? assuredly, the reason is, that the earth draws it. there must be a drawing power in matter. & the sum of the drawing power in the matter of the earth must be in the earths center, not in any side of the earth. therefore dos this apple fall perpendicularly, or toward the center. if matter thus draws matter; it must be in proportion of its quantity. therefore the apple draws the earth, as well as the earth draws the apple."
John Conduitt, who served as Newton's assistant at the Royal Mint and was married to Newton's niece, also provided an account of this event in his biographical writings about Newton:
In the year 1666 he retired again from Cambridge to his mother in Lincolnshire. Whilst he was pensively meandering in a garden it came into his thought that the power of gravity (which brought an apple from a tree to the ground) was not limited to a certain distance from earth, but that this power must extend much further than was usually thought. Why not as high as the Moon said he to himself & if so, that must influence her motion & perhaps retain her in her orbit, whereupon he fell a calculating what would be the effect of that supposition.
Newton's notebooks reveal that he was deliberating in the late 1660s on the concept that terrestrial gravity extends to the Moon, following an inverse-square proportion, a notion that other scientists had previously conjectured. Around 1665, Newton conducted quantitative analyses, considering the Moon's orbital period and distance, alongside the timing of objects falling on Earth. However, Newton did not publish these findings at the time because he lacked the proof that Earth's gravity operates as if its entire mass were concentrated at its center, a demonstration that would take him two decades to complete.
Extensive analysis of historical records, corroborated by dendrochronology and DNA analysis, indicates that a specific apple tree in a garden at Woolsthorpe Manor was the one Newton referenced. This tree was felled by a storm around 1816 but subsequently regrew from its roots and is now maintained as a tourist attraction under the stewardship of the National Trust.
A progeny of the original tree is currently cultivated outside the main gate of Trinity College, Cambridge, situated beneath the room Newton occupied during his studies there. The National Fruit Collection at Brogdale in Kent offers grafts from their specimen, which appears horticulturally identical to the Flower of Kent, a cooking apple cultivar characterized by its coarse flesh.
Commemorations
Newton's monument, erected in 1731, is situated in Westminster Abbey, specifically to the north of the choir entrance, adjacent to the choir screen and near his tomb. The sculptor Michael Rysbrack (1694–1770) executed this piece in white and grey marble, based on a design by architect William Kent. The monument depicts Newton reclining atop a sarcophagus, with his right elbow resting on several of his prominent books and his left hand gesturing towards a scroll bearing a mathematical design. Above this figure, a pyramid and a celestial globe illustrate the signs of the Zodiac and the trajectory of the 1680 comet. A relief panel further portrays putti interacting with scientific instruments, including a telescope and a prism.
Between 1978 and 1988, a depiction of Newton, designed by Harry Ecclestone, was featured on the Series D £1 banknotes issued by the Bank of England, which were the final £1 notes produced by the institution. The reverse side of these notes illustrated Newton holding a book, accompanied by a telescope, a prism, and a map of the Solar System.
An effigy of Isaac Newton, shown gazing at an apple positioned at his feet, is displayed at the Oxford University Museum of Natural History. In London, a substantial bronze sculpture titled Newton, after William Blake, created by Eduardo Paolozzi in 1995 and inspired by William Blake's etching, dominates the piazza of the British Library. Additionally, a bronze statue of Newton was erected in 1858 in the central area of Grantham, where he attended school, prominently situated before the Grantham Guildhall.
The manor house at Woolsthorpe is designated as a Grade I listed building by Historic England, primarily due to its significance as his birthplace and the site "where he discovered gravity and developed his theories regarding the refraction of light."
The Institute of Physics (IOP) confers its most distinguished accolade, the Isaac Newton Medal, named in his honor, upon individuals for their globally significant contributions to the field of physics. This award was inaugurated in 2008.
The Enlightenment
European Enlightenment philosophers and historians generally contend that Newton's publication of the Principia marked a pivotal moment in the Scientific Revolution and initiated the Enlightenment era. Newton's conceptualization of a universe governed by natural and rationally comprehensible laws served as a foundational element for Enlightenment thought. Figures such as John Locke and Voltaire extended the principles of natural law to political frameworks, advocating for inherent rights. Similarly, the physiocrats and Adam Smith integrated naturalistic views of psychology and self-interest into economic theories. Sociologists, in turn, critiqued existing social structures for attempting to impose historical narratives onto natural models of progress. While James Burnett, Lord Monboddo, and Samuel Clarke initially expressed reservations about certain aspects of Newton's work, they ultimately reconciled it with their profound religious interpretations of nature.
Works
Published in his lifetime
- De analysi per aequationes numero terminorum infinitas (1669, published 1711)
- Of Natures Obvious Laws & Processes in Vegetation (unpublished, c. 1671–75)
- De motu corporum in gyrum (1684)
- Philosophiæ Naturalis Principia Mathematica (1687)
- Scala graduum Caloris. Calorum Descriptiones & signa (1701)
- Opticks (1704)
- Reports as Master of the Mint (1701–1725)
- Arithmetica Universalis (1707)
Published posthumously
- De mundi systemate (The System of the World) (1728)
- Optical Lectures (1728)
- The Chronology of Ancient Kingdoms Amended (1728)
- Observations on Daniel and The Apocalypse of St. John (1733)
- Method of Fluxions (1671, published 1736)
- An Historical Account of Two Notable Corruptions of Scripture (1754)
- Elements of the Philosophy of Newton, a book by Voltaire
- List of presidents of the Royal Society
- References
References
Notes
Citations
Bibliography
Primary
Religion
- Portraits of Sir Isaac Newton at the National Portrait Gallery, London
- Works by or about Isaac Newton at the Internet Archive
- Works by Isaac Newton (public domain audiobooks)
Digital archives
- The Newton Project, hosted by the University of Oxford.
- Isaac Newton's papers housed within the Royal Society archives.
- The Newton Manuscripts preserved at the National Library of Israel.
- The Newton Papers, previously accessible via the Cambridge Digital Library, are currently unavailable.
- Bernhardus Varenius, Geographia Generalis, edited by Isaac Newton, second edition (Cambridge: Joann. Hayes, 1681).