Sir Isaac Newton - To the discoverer of attraction. Philosophical significance of Newton's discoveries

The great English physicist, mathematician and astronomer. The author of the fundamental work “Mathematical Principles of Natural Philosophy” (lat. Philosophiae Naturalis Principia Mathematica), in which he described the law of universal gravitation and the so-called Newton’s Laws, which laid the foundations of classical mechanics. He developed differential and integral calculus, color theory and many other mathematical and physical theories.


Isaac Newton, the son of a small but prosperous farmer, was born in the village of Woolsthorpe (Lincolnshire), in the year of Galileo's death and on the eve of the Civil War. Newton's father did not live to see his son born. The boy was born sickly, prematurely, but still survived and lived for 84 years. Newton considered the fact of being born on Christmas a special sign of fate.

The boy's patron was his maternal uncle, William Ayscough. After graduating from school (1661), Newton entered Trinity College (College of the Holy Trinity) at the University of Cambridge. Even then, his powerful character took shape - scientific meticulousness, the desire to get to the bottom of things, intolerance to deception and oppression, indifference to public fame. As a child, Newton, according to contemporaries, was withdrawn and isolated, loved to read and make technical toys: a clock, a mill, etc.

Apparently, the scientific support and inspiration for Newton’s work were largely the physicists: Galileo, Descartes and Kepler. Newton completed their work by combining them into a universal system of the world. Other mathematicians and physicists had a lesser but significant influence: Euclid, Fermat, Huygens, Mercator, Wallis. Of course, the enormous influence of his immediate teacher Barrow cannot be underestimated.

It seems that Newton made a significant part of his mathematical discoveries while still a student, during the “plague years” of 1664-1666. At the age of 23, he was already fluent in the methods of differential and integral calculus, including series expansion of functions and what was later called the Newton-Leibniz formula. At the same time, according to him, he discovered the law of universal gravitation, or more precisely, he became convinced that this law follows from Kepler’s third law. In addition, during these years Newton proved that white color is a mixture of colors, derived the formula of “Newton’s binomial” for an arbitrary rational exponent (including negative ones), etc.

1667: The plague subsides and Newton returns to Cambridge. Elected a fellow of Trinity College, and in 1668 he became a master.

In 1669, Newton was elected professor of mathematics, Barrow's successor. Barrow forwarded to London Newton's "Analysis by Equations of Infinite Number of Terms," ​​which contained a condensed summary of some of his most important discoveries in analysis. It gained some fame in England and abroad. Newton is preparing a complete version of this work, but is still unable to find a publisher. It was published only in 1711.

Experiments in optics and color theory continue. Newton studies spherical and chromatic aberration. To reduce them to a minimum, he builds a mixed reflecting telescope (a lens and a concave spherical mirror that polishes itself). He is seriously interested in alchemy and conducts a lot of chemical experiments.

1672: Demonstration of the reflector in London - universally rave reviews. Newton becomes famous and is elected a member of the Royal Society (British Academy of Sciences). Later, improved reflectors of this design became the main tools of astronomers, with their help other galaxies, red shifts, etc. were discovered.

A controversy breaks out over the nature of light with Hooke, Huygens and others. Newton makes a vow for the future: not to get involved in scientific disputes.

1680: Newton receives a letter from Hooke with the formulation of the law of universal gravitation, which, according to the former, served as the reason for his work on determining planetary motions (though then postponed for some time), which formed the subject of the Principia. Subsequently, Newton, for some reason, perhaps suspecting Hooke of illegally borrowing some earlier results of Newton himself, does not want to recognize any of Hooke’s merits here, but then agrees to do so, although rather reluctantly and not completely.

1684-1686: work on “Mathematical principles of natural philosophy” (the entire three-volume work was published in 1687). The Cartesians gained worldwide fame and fierce criticism: the law of universal gravitation introduces long-range action that is incompatible with the principles of Descartes.

1696: By royal decree, Newton was appointed Warden of the Mint (from 1699 - Director). He vigorously pursues monetary reform, restoring confidence in the British monetary system, which had been thoroughly neglected by his predecessors.

1699: the beginning of an open priority dispute with Leibniz, in which even the reigning persons were involved. This absurd quarrel between two geniuses cost science dearly - the English mathematical school soon withered for a whole century, and the European school ignored many of Newton’s outstanding ideas, rediscovering them much later. On the continent, Newton was accused of stealing the results of Hooke, Leibniz and the astronomer Flamsteed, as well as of heresy. Even the death of Leibniz (1716) did not extinguish the conflict.

1703: Newton is elected president of the Royal Society, which he rules for twenty years.

1705: Queen Anne knights Newton. From now on he is Sir Isaac Newton. For the first time in English history, the title of knight was awarded for scientific merit.

Newton devoted the last years of his life to writing the Chronology of Ancient Kingdoms, which he worked on for about 40 years, and preparing the third edition of the Elements.

In 1725, Newton's health began to deteriorate noticeably (stone disease), and he moved to Kensington near London, where he died at night, in his sleep, on March 20 (31), 1727.

The inscription on his grave reads:

Here lies Sir Isaac Newton, the nobleman who, with an almost divine mind, was the first to prove with the torch of mathematics the motion of the planets, the paths of comets, and the tides of the oceans.

He investigated the difference in light rays and the various properties of colors that appeared at the same time, which no one had previously suspected. A diligent, wise and faithful interpreter of nature, antiquity and Holy Scripture, he affirmed with his philosophy the greatness of Almighty God, and with his disposition he expressed evangelical simplicity.

Let mortals rejoice that such an adornment of the human race existed.

Named after Newton:

craters on the Moon and Mars;

SI unit of force.

The statue erected to Newton in 1755 at Trinity College is inscribed with verses from Lucretius:

Qui genus humanum ingenio superavit (He was superior to the human race in intelligence)

Scientific activities

A new era in physics and mathematics is associated with Newton's work. Powerful analytical methods appear in mathematics, and there is a surge in the development of analysis and mathematical physics. In physics, the main method of studying nature is the construction of adequate mathematical models of natural processes and intensive research of these models with the systematic use of the full power of the new mathematical apparatus. Subsequent centuries have proven the exceptional fruitfulness of this approach.

According to A. Einstein, “Newton was the first who tried to formulate elementary laws that determine the time course of a wide class of processes in nature with a high degree of completeness and accuracy” and “... had with his works a deep and strong influence on the entire worldview as a whole.”

Mathematical analysis

Newton developed differential and integral calculus simultaneously with G. Leibniz (a little earlier) and independently of him.

Before Newton, operations with infinitesimals were not linked into a unified theory and had the character of isolated ingenious techniques (see Method of indivisibles), at least there was no published systematic formulation and the power of analytical techniques for solving such complex problems as the problems of celestial mechanics in their entirety. The creation of mathematical analysis reduces the solution of relevant problems, to a large extent, to a technical level. A complex of concepts, operations and symbols appeared, which became the starting point for the further development of mathematics. The next century, the 18th century, was a century of rapid and extremely successful development of analytical methods.

Apparently, Newton came to the idea of ​​analysis through difference methods, which he studied extensively and deeply. True, in his “Principles” Newton almost did not use infinitesimals, adhering to ancient (geometric) methods of proof, but in other works he used them freely.

The starting point for differential and integral calculus were the works of Cavalieri and especially Fermat, who already knew how (for algebraic curves) to draw tangents, find extrema, inflection points and curvature of a curve, and calculate the area of ​​its segment. Among other predecessors, Newton himself named Wallis, Barrow and the Scottish astronomer James Gregory. There was no concept of a function yet; he interpreted all curves kinematically as trajectories of a moving point.

Already as a student, Newton realized that differentiation and integration are mutually inverse operations (apparently, the first published work containing this result in the form of a detailed analysis of the duality of the area problem and the tangent problem belongs to Newton's teacher Barrow).

For almost 30 years Newton did not bother to publish his version of the analysis, although in letters (in particular to Leibniz) he willingly shared much of what he had achieved. Meanwhile, Leibniz's version had been spreading widely and openly throughout Europe since 1676. Only in 1693 did the first presentation of Newton's version appear - in the form of an appendix to Wallis's Treatise on Algebra. We have to admit that Newton’s terminology and symbolism are rather clumsy in comparison with Leibniz’s: fluxion (derivative), fluenta (antiderivative), moment of magnitude (differential), etc. Only Newton’s notation “o” for an infinitesimal dt has been preserved in mathematics (however , this letter was used earlier by Gregory in the same sense), and even a dot above the letter as a symbol of the derivative with respect to time.

Newton published a fairly complete statement of the principles of analysis only in the work “On the Quadrature of Curves” (1704), an appendix to his monograph “Optics”. Almost all of the material presented was ready back in the 1670-1680s, but only now Gregory and Halley persuaded Newton to publish the work, which, 40 years late, became Newton’s first printed work on analysis. Here, Newton introduced derivatives of higher orders, found the values ​​of the integrals of various rational and irrational functions, and gave examples of solving 1st order differential equations.

1711: "Analysis by Equations with an Infinite Number of Terms" is finally published, after 40 years. Newton explores both algebraic and “mechanical” curves (cycloid, quadratrix) with equal ease. Partial derivatives appear, but for some reason there is no rule for differentiating a fraction and a complex function, although Newton knew them; however, Leibniz had already published them at that time.

In the same year, “The Method of Differences” was published, where Newton proposed an interpolation formula for drawing through (n + 1) given points with equally spaced or unequally spaced abscissas of a parabolic curve of the nth order. This is a difference analogue of Taylor's formula.

1736: The final work, “The Method of Fluxions and Infinite Series,” is published posthumously, significantly advanced compared to “Analysis by Equations.” Numerous examples are given of finding extrema, tangents and normals, calculating radii and centers of curvature in Cartesian and polar coordinates, finding inflection points, etc. In the same work, quadratures and straightenings of various curves were performed.

It should be noted that Newton not only developed the analysis quite fully, but also made an attempt to strictly substantiate its principles. If Leibniz was inclined to the idea of ​​actual infinitesimals, then Newton proposed (in the Principia) a general theory of passage to limits, which he somewhat floridly called the “method of first and last relations.” The modern term “limes” is used, although there is no clear description of the essence of this term, implying an intuitive understanding.

The theory of limits is set out in 11 lemmas in Book I of the Elements; one lemma is also in book II. There is no arithmetic of limits, there is no proof of the uniqueness of the limit, and its connection with infinitesimals has not been revealed. However, Newton rightly points out the greater rigor of this approach compared to the “rough” method of indivisibles.

Nevertheless, in Book II, by introducing moments (differentials), Newton again confuses the matter, in fact considering them as actual infinitesimals.

Other mathematical achievements

Newton made his first mathematical discoveries back in his student years: the classification of algebraic curves of the 3rd order (curves of the 2nd order were studied by Fermat) and the binomial expansion of an arbitrary (not necessarily integer) degree, from which Newton’s theory of infinite series began - a new and powerful tool of analysis . Newton considered series expansion to be the main and general method of analyzing functions, and in this matter he reached the heights of mastery. He used series to calculate tables, solve equations (including differential ones), and study the behavior of functions. Newton was able to obtain expansions for all the functions that were standard at that time.

In 1707, the book “Universal Arithmetic” was published. It presents a variety of numerical methods.

Newton always paid great attention to the approximate solution of equations. Newton's famous method made it possible to find the roots of equations with previously unimaginable speed and accuracy (published in Wallis' Algebra, 1685). Newton's iterative method was given its modern form by Joseph Raphson (1690).

It is noteworthy that Newton was not at all interested in number theory. Apparently, physics was much closer to mathematics to him.

Theory of gravity

The very idea of ​​the universal force of gravity was repeatedly expressed before Newton. Previously, Epicurus, Kepler, Descartes, Huygens, Hooke and others thought about it. Kepler believed that gravity is inversely proportional to the distance to the Sun and extends only in the ecliptic plane; Descartes considered it the result of vortices in the ether. There were, however, guesses with the correct formula (Bulliald, Wren, Hooke), and even quite seriously substantiated (using the correlation of Huygens' formula for centrifugal force and Kepler's third law for circular orbits). But before Newton, no one was able to clearly and mathematically conclusively connect the law of gravity (a force inversely proportional to the square of the distance) and the laws of planetary motion (Kepler's laws).

It is important to note that Newton did not simply publish a proposed formula for the law of universal gravitation, but actually proposed a complete mathematical model in the context of a well-developed, complete, explicit and systematic approach to mechanics:

law of gravitation;

law of motion (Newton's 2nd law);

system of methods for mathematical research (mathematical analysis).

Taken together, this triad is sufficient for a complete study of the most complex movements of celestial bodies, thereby creating the foundations of celestial mechanics. Before Einstein, no fundamental amendments to this model were needed, although the mathematical apparatus was very significantly developed.

Newton's theory of gravity caused many years of debate and criticism of the concept of long-range action.

The first argument in favor of the Newtonian model was the rigorous derivation of Kepler's empirical laws on its basis. The next step was the theory of the movement of comets and the Moon, set out in the “Principles”. Later, with the help of Newtonian gravity, all observed movements of celestial bodies were explained with high accuracy; This is a great merit of Clairaut and Laplace.

The first observable corrections to Newton's theory in astronomy (explained by general relativity) were discovered only more than 200 years later (shift of the perihelion of Mercury). However, they are also very small within the solar system.

Newton also discovered the cause of tides: the gravity of the Moon (even Galileo considered tides to be a centrifugal effect). Moreover, having processed many years of data on the height of tides, he calculated the mass of the Moon with good accuracy.

Another consequence of gravity was the precession of the earth's axis. Newton found out that due to the oblateness of the Earth at the poles, the earth's axis undergoes a constant slow displacement with a period of 26,000 years under the influence of the attraction of the Moon and the Sun. Thus, the ancient problem of “anticipation of the equinoxes” (first noted by Hipparchus) found a scientific explanation.

Optics and theory of light

Newton made fundamental discoveries in optics. He built the first mirror telescope (reflector), in which, unlike purely lens telescopes, there was no chromatic aberration. He also discovered the dispersion of light, showed that white light is decomposed into the colors of the rainbow due to the different refraction of rays of different colors when passing through a prism, and laid the foundations of the correct theory of colors.

During this period there were many speculative theories of light and color; Basically, they fought between the points of view of Aristotle (“different colors are a mixture of light and darkness in different proportions”) and Descartes (“different colors are created when light particles rotate at different speeds”). Hooke, in his Micrographia (1665), proposed a variant of Aristotelian views. Many believed that color is an attribute not of light, but of an illuminated object. The general discord was aggravated by a cascade of discoveries in the 17th century: diffraction (1665, Grimaldi), interference (1665, Hooke), double refraction (1670, Erasmus Bartholin, studied by Huygens), estimation of the speed of light (1675, Roemer), significant improvements in telescopes. There was no theory of light compatible with all these facts.

In his speech to the Royal Society, Newton refuted both Aristotle and Descartes, and convincingly proved that white light is not primary, but consists of colored components with different angles of refraction. These components are primary - Newton could not change their color with any tricks. Thus, the subjective sensation of color received a solid objective basis - the refractive index.

Newton created the mathematical theory of interference rings discovered by Hooke, which have since been called “Newton’s Rings.”

In 1689, Newton stopped research in the field of optics - according to a widespread legend, he vowed not to publish anything in this area during the life of Hooke, who constantly pestered Newton with criticism that was painful for the latter. In any case, in 1704, the next year after Hooke’s death, the monograph “Optics” was published. During the author’s lifetime, “Optics,” like “Principles,” went through three editions and many translations.

Book one of the monograph contained the principles of geometric optics, the doctrine of light dispersion and the composition of white color with various applications.

Book two: interference of light in thin plates.

Book three: diffraction and polarization of light. Newton explained polarization during birefringence closer to the truth than Huygens (a supporter of the wave nature of light), although the explanation of the phenomenon itself was unsuccessful, in the spirit of the emission theory of light.

Newton is often considered a proponent of the corpuscular theory of light; in fact, as usual, he “did not invent hypotheses” and readily admitted that light could also be associated with waves in the ether. In his monograph, Newton described in detail the mathematical model of light phenomena, leaving aside the question of the physical carrier of light.

Other works in physics

Newton was the first to derive the speed of sound in a gas, based on the Boyle-Mariotte law.

He predicted the oblateness of the Earth at the poles, approximately 1:230. At the same time, Newton used a homogeneous fluid model to describe the Earth, applied the law of universal gravitation and took into account centrifugal force. At the same time, Huygens performed similar calculations on similar grounds; he considered gravity as if its source was in the center of the planet, since, apparently, he did not believe in the universal nature of the force of gravity, that is, ultimately he did not take into account the gravity of the deformed surface layer of the planet. Accordingly, Huygens predicted a compression less than half that of Newton, 1:576. Moreover, Cassini and other Cartesians argued that the Earth is not compressed, but bulged at the poles like a lemon. Subsequently, although not immediately (the first measurements were inaccurate), direct measurements (Clerot, 1743) confirmed Newton’s correctness; actual compression is 1:298. The reason this value differs from that proposed by Newton in favor of Huygens's is that the model of a homogeneous liquid is still not entirely accurate (density increases noticeably with depth). A more accurate theory, explicitly taking into account the dependence of density on depth, was developed only in the 19th century.

Other works

In parallel with the research that laid the foundation of the current scientific (physical and mathematical) tradition, Newton devoted a lot of time to alchemy, as well as theology. He did not publish any works on alchemy, and the only known result of this long-term hobby was the serious poisoning of Newton in 1691.

It is paradoxical that Newton, who worked for many years at the College of the Holy Trinity, apparently himself did not believe in the Trinity. Researchers of his theological works, such as L. More, believe that Newton's religious views were close to Arianism.

Newton proposed his own version of biblical chronology, leaving behind a significant number of manuscripts on these issues. In addition, he wrote a commentary on the Apocalypse. Newton's theological manuscripts are now kept in Jerusalem, in the National Library.

The Secret Works of Isaac Newton

As is known, shortly before the end of his life, Isaac refuted all the theories put forward by himself and burned the documents that contained the secret of their refutation: some had no doubt that everything was exactly like that, while others believe that such actions would be simply absurd and claim that the archive complete with documents, but only belongs to a select few...

Sir Isaac Newton

The amazing genius of the Englishman Isaac Newton (1642–1727) raised the scientific revolution to its highest point. Newton was by no means an attractive person. He was a very absent-minded professor: he forgot to eat while working and had to be reminded to publish his discoveries. He suffered from paranoia and claimed that his colleagues were stealing his ideas. He spent a lot of time and effort on alchemical research, not to mention calculating the dates of biblical events. But when Newton turned to physics and astronomy, only Galileo among the scientists of the 17th century. was able to compare with him in wealth of imagination and discipline. Only Galileo shared his skill in managing scientific instruments, experiments, and theories. Newton was a stronger mathematician, an abstract thinker. Like many scientists, he created most of his work as a young man. In 1665, when he was a student at Cambridge, the educational institution was hit by an epidemic of bubonic plague. And Newton was forced to spend about two years on his mother's secluded farm in Lincolnshire. In this place he began his experiments in optics, thus for the first time highlighting the study of light as a separate branch of physics. In mathematics, he invented differentials and integrals. In mechanics, he began to formulate his laws of universal gravitation and motion. “In those days,” he later recalled, “I was on the threshold of my inventions and was more involved in mathematics and philosophy than ever before.”

Newton's main achievement was the unification of Kepler's laws of planetary motion, Galileo's laws of falling bodies, the concept of inertia developed by Galileo and Descartes, and his own concept of gravity in a single physical and mathematical system. Newton wondered what kept the planets in an elliptical orbit around the Sun and the Moon in the Earth's orbit when, according to Galileo's concept of inertia, each should move independently in a straight line. An apple falling on his head in his garden led him to the idea that the Moon should be attracted to the Earth by the same force that attracts the apple to the Earth. He deduced that gravity is a general force affecting all objects, and the interactions of two masses on each other are equal in strength and opposite in direction. Thus, the Moon is attracted to the Earth with the same force as the Earth is attracted to the Moon. The lunar gravity causes sea tides. In the case of an apple, its mass is so small compared to the earth's that the gravity of the apple has no significant effect. 20 years passed before Newton was convinced that he was mathematically right. Finally, in 1687, he formulated his theory of attraction and motion of bodies and described it in an epoch-making work, "Mathematical Principles of Natural Philosophy", usually known by its Latin title "Principles" (Principia). It sold for 5 shillings per copy.

Principia is a fairly complex work, aimed at those who could understand Newton's mathematics and appreciate the elegance of his theory. A quick glance will not allow you to understand its depth. First, Newton brought together the mathematical, astronomical and mechanical discoveries of the century. He combined Kepler's celestial mechanics with Galileo's terrestrial mechanics and derived from this three laws of motion, which he expressed mathematically. Further, he formulated the law of universal gravitation: each object is attracted to another with a force proportional to the product of masses and inversely proportional to the square of the distance between them. In general, the “Principles” is a detailed demonstration of this law. Newton did not seek to understand the true force of gravity. He argued with Descartes, who denied the existence of gravity and explained the movement of bodies mechanically. Newton's view of nature, like Descartes's, was mechanistic and mathematical, but he did not like Descartes' method of discovering pictures of the world without reference to empirical observations. Like Galileo, Newton believed that scientists should figure out how the universe exists, not why. He put a lot of effort into bursting the Cartesian bubble. Supporting his abstract conclusions with experiments, Newton concluded his book with a description of the structure of the celestial system. This part amazed his readers. Among other things, Newton calculated the period of rotation of the Earth. His description of the universe did not require correction for a century, and physics continued to work within the framework of Newtonian mechanics (or classical mechanics) until the age of Einstein. The Principia was recognized as a work of art, although the Cartesians did not accept the theory of gravity. Unlike Galileo, there was a lot of hype around Newton. He was knighted and elected a Fellow of the Royal Society. When he died, he was honored with a granite monument and buried in Westminster Abbey.

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The English physicist Sir Isaac Newton, whose brief biography is provided here, became famous for his numerous discoveries in the field of physics, mechanics, mathematics, astronomy, and philosophy.

Inspired by the works of Galileo Galilei, René Descartes, Kepler, Euclid and Wallis, Newton made many important discoveries, laws and inventions that modern science still relies on.

When and where was Isaac Newton born?

Isaac Newton House

Sir Isaac Newton (Sir Isaac Newton, years of life 1643 - 1727) was born on December 24, 1642 (January 4, 1643 new style) in the country-state of England, Lincolnshire, in the city of Woolsthorpe.

His mother went into labor prematurely and Isaac was born premature. At birth, the boy turned out to be so physically weak that they were afraid to even baptize him: everyone thought that he would die without living even a couple of years.

However, such a “prophecy” did not prevent him from living to old age and becoming a great scientist.

There is an opinion that Newton was Jewish by nationality, but this is not documented. It is known that he belonged to the English aristocracy.

I. Newton's childhood

The boy never saw his father, also named Isaac (Newton Jr. was named after his father - a tribute to memory), - he died before he was born.

The family later had three more children, whom the mother, Anna Ayscough, gave birth to from her second husband. With their appearance, few people were interested in the fate of Isaac: the boy grew up deprived of love, although the family was considered prosperous.

His uncle William on his mother’s side made more efforts in raising and caring for Newton. The boy's childhood can hardly be called happy.

Already at an early age, Isaac showed his talents as a scientist: he spent a lot of time reading books and loved making things. He was withdrawn and uncommunicative.

Where did Newton study?

In 1655, a 12-year-old boy was sent to school in Grantham. During his training, he lived with a local pharmacist named Clark.

At the educational institution, abilities in the field of physics, mathematics, and astronomy showed, but mother Anna took her son out of school after 4 years.

16-year-old Isaac was supposed to manage the farm, but he didn’t like this arrangement: the young man was more drawn to reading books and inventing.

Thanks to his uncle, schoolmaster Stokes and a teacher from Cambridge University, Isaac was reinstated into the ranks of the school's students to continue his educational activities.

In 1661, the guy entered Trinity College, Cambridge University for free education. In 1664 he passed the exams, which transferred him to the status of a student. From this moment on, the young man continues his studies and receives a scholarship. In 1665 he was forced to quit studying due to the closure of the university for quarantine (plague epidemic).

Around this period he created his first inventions. Afterwards, in 1667, the young man was reinstated as a student and continued to gnaw on the granite of science.

A significant role in Isaac Newton's passion for the exact sciences is played by his mathematics teacher Isaac Barrow.

It is curious that in 1668 the mathematical physicist received the title of master and graduated from the university, and almost immediately began giving lectures to other students.

What did Newton discover?

The scientist’s discoveries are used in educational literature: both in school and university, and in a wide variety of disciplines (mathematics, physics, astronomy).

His main ideas were new for that century:

  1. His most important and significant discoveries were made between 1665 and 1667, during the bubonic plague in London. The University of Cambridge was temporarily closed and its teaching staff disbanded due to the raging infection. The 18-year-old student left for his homeland, where he discovered the law of universal gravitation, and also conducted various experiments with spectral colors and optics.
  2. His discoveries in mathematics include third-order algebraic curves, binomial expansion, and methods for solving differential equations. Differential and integral calculus were developed almost at the same time as Leibniz, independently of each other.
  3. In the field of classical mechanics, he created an axiomatic basis, as well as such a science as dynamics.
  4. It is impossible not to mention the three laws, where their name “Newton’s laws” comes from: the first, second and third.
  5. The foundation was laid for further research in astronomy, including celestial mechanics.

Philosophical significance of Newton's discoveries

The physicist worked on his discoveries and inventions from both a scientific and religious point of view.

He noted that he wrote his book “Principles” not in order to “belittle the Creator,” but still emphasized his power. The scientist believed that the world was “quite independent.”

He was a supporter of Newtonian philosophy.

Books by Isaac Newton

Newton's published books during his lifetime:

  1. "Method of differences".
  2. "Enumeration of lines of third order."
  3. "Mathematical principles of natural philosophy."
  4. "Optics or a treatise on the reflections, refractions, bendings and colors of light."
  5. "A New Theory of Light and Colors."
  6. "On the quadrature of curves."
  7. "Motion of bodies in orbit."
  8. "Universal Arithmetic".
  9. "Analysis using equations with an infinite number of terms."
  1. "Chronology of Ancient Kingdoms" .
  2. "The World System".
  3. "Method of fluxions ».
  4. Lectures on optics.
  5. Notes on the book of the prophet Daniel and the Apocalypse of St. John.
  6. "Brief Chronicle".
  7. "A Historical Tracing of Two Notable Corruptions of Holy Scripture."

Newton's inventions

He began taking his first steps in invention as a child, as mentioned above.

In 1667, all the university teachers were amazed by the telescope he created, which was invented by the future scientist: it was a breakthrough in the field of optics.

In 1705, the Royal Society awarded Isaac a knighthood for his contributions to science. Now he was called Sir Isaac Newton, he had his own coat of arms and a not very reliable pedigree.

His inventions also include:

  1. A water clock powered by the rotation of a wooden block, which in turn vibrates from falling drops of water.
  2. A reflector, which was a telescope with a concave lens. The device gave impetus to research into the night sky. It was also used by sailors for navigation on the high seas.
  3. Windmill.
  4. Scooter.

Personal life of Isaac Newton

According to contemporaries, Newton’s day began and ended with books: he spent so much time reading them that he often forgot to even eat.

The famous scientist had no personal life at all. Isaac was never married; according to rumors, he even remained a virgin.

When did Sir Isaac Newton die and where is he buried?

Isaac Newton died on March 20 (March 31, 1727 - new style date) in Kensington, UK. Two years before his death, the physicist began to have health problems. He died in his sleep. His grave is in Westminster Abbey.

A few not so popular facts:

  1. An apple did not fall on Newton's head - this is a myth invented by Voltaire. But the scientist himself really sat under the tree. Now it is a monument.
  2. As a child, Isaac was very lonely, as he was all his life. Having lost her father early, her mother focused entirely on her new marriage and three new children, who were quickly left without a father.
  3. At the age of 16, his mother took her son out of school, where he began to show extraordinary abilities at an early age, so that he began managing the farm. The schoolteacher, his uncle and another acquaintance, a member of Cambridge College, insisted on the boy returning to school, from which he successfully graduated and entered the university.
  4. According to the recollections of classmates and teachers, Isaac spent most of his time reading books, forgetting to even eat and sleep - this was the life he most desired.
  5. Isaac was the keeper of the British Mint.
  6. After the death of the scientist, his autobiography was released.

Conclusion

Sir Isaac Newton's contribution to science is truly enormous, and it is quite difficult to underestimate his contribution. His discoveries to this day are the foundations of modern science as a whole, and his laws are studied in school and other educational institutions.

The National Library at the Hebrew University of Jerusalem continues to study the handwritten legacy of Isaac Newton - the same Newton who laid the foundations of modern physics and mathematics and is rightfully included in the top ten greatest geniuses of mankind. These manuscripts, of course, have long been inventoried and even digitized, but a significant part of them still remains not only unstudied, but not even carefully read, and therefore we can only guess about the secrets and revelations that they hide.

The very story of these manuscripts and their arrival at the National Library of Israel is quite interesting and deserves to be told - at least briefly.

The great scientist, as we know, did not have a wife or children, and after his death in 1727, his entire archive was transferred to his nephews and stored at their home. For many decades, Newton's heirs tried to sell this archive, sincerely believing that it should be worth hundreds and hundreds of thousands of pounds sterling - like the archives of Faraday, Maxwell and other greats. Several times, in order to weigh the possibility of such a purchase, employees of the Cambridge Library, the British National Museum and other equally respected institutions visited them, but after a quick acquaintance with the manuscripts, they recoiled from them like the plague, and the conversation about the purchase ended.

Finally, in 1936, Newton's archive was put up for auction. Here, part of the manuscripts related to the alchemical research of Isaac Newton was acquired by Lord John Maynard Keynes. Later, based on their study, he published the scandalous article “The Other Newton,” in which he argued that the great physicist considered himself, first of all, a mystic and theologian, and at the same time believed... in God not so much in the Christian, but in the Jewish sense of this words.

After this, it became a little clear what frightened historians of science so much when looking through the archives of Sir Isaac Newton - his handwritten legacy did not fit in with the image of a materialist, a supporter of “pure science”, an adherent of testing theory by practice, which was created by his biographers. These manuscripts themselves exploded this image and were an attack on the shrine.

Meanwhile, at the same auction, another - large - part of Isaac Newton's handwritten legacy was purchased by a certain Abraham Shalom Yehuda. A native of Jerusalem, he was a passionate anti-Zionist, which is why he moved from Mandatory Palestine to the States, where he studied the Bible and, first of all, the book “Neviim” (“Prophets”). Yehuda was familiar with Newton’s book “Chronology of Ancient Kingdoms,” and therefore hoped to find new ideas for his research in the works of the genius.

Yehuda showed his new acquisition to his friend Albert Einstein, and together they decided that such a treasure should be kept not at home, but in a public place - and offered it as a gift, first to Harvard and then to Yale University. But both of these temples of science categorically refused these manuscripts even from the hands of such an authority as Einstein.

In 1951, doctors told Abraham Shalom Yehuda that he was terminally ill. By this time, he had radically changed his views, became a convinced Zionist, and therefore decided to donate Isaac Newton's archive to the National Library in Jerusalem. The library accepted it with gratitude, but after Yehuda’s death, his heirs began a long legal process, and as a result, the manuscripts did not arrive in Jerusalem until the late 1960s. Their real study began only in the 1980s, and since then, in their wake, several monographs devoted to the worldview of the great physicist have been published. And yet, we repeat, they are still hiding their main secrets. But even what has already been revealed to us cannot but cause, at least, amazement. But before talking in the most superficial way about the contents of these manuscripts, it is worth at least briefly recalling the main milestones in the biography of Isaac Newton.

This biography, in general, has been thoroughly studied for a long time. The future genius was born on Christmas night 1642, and was so weak that immediately after giving birth, the mother left the child to die in the attic - so as not to see his agony. But the baby screamed so loudly throughout the house that the young woman came back for him, realizing that he had a chance to survive. Then, having married a second time, she sent her son to relatives, having become a widow again, she returned him to the house, tried to force him to take over the family farm at the age of 15, but young Isaac was adamant - he wanted to study, and not dig in manure. At the age of 19, he entered Trinity College Cambridge to study for a Bachelor of Theology and from that time on, for 35 years, his life would be inextricably linked with this university.

Newton was never obsessed with a thirst for fame, but at the same time he was undoubtedly driven by an indomitable, comparable only to sexual, passion for understanding the world.

This is evidenced by the fact that Newton apparently made a significant part of his outstanding discoveries in physics and mathematics before the age of 25, but shared them only with his teacher and friend Henry Barrow, but asked to keep them secret; the hour for their publication will come only decades later.

But the following story, which is directly related to our conversation, testifies to the impeccable inner honesty and decency of Isaac Newton, as well as the fact that already in his youth he came to certain ideological insights that he was not ready to give up at any price.

In 1669 he finally received a position as professor of mathematics at Trinity College. This place promises a stable income and the opportunity to quietly engage in science. There is only one little thing left: all college teachers must take an oath that they believe in the Holy Trinity and its unity, that is, in the main doctrine of the Christian church. But the young candidate for professor categorically refuses to take such an oath. There is no trinity, he tries to explain, all this is speculation, in fact, God is one, one and all-encompassing.

Many historians have tried to attribute in connection with this demarche his commitment to various heretical movements in Christianity, but, as is easy to see, this position of his is closest to Judaism, and not to any other religion or its branch. And Newton expressed this opinion publicly, at the college named after the Holy Trinity!

Because of this adherence to principles and unwillingness to make deals with his conscience, Newton could well have said goodbye to his position as a professor, but Professor Barrow and other members of the academic fraternity were able to persuade King Charles II to sign a decree abolishing the clause on the obligatory oath of allegiance to the Holy Trinity.

In 1686, Newton’s most famous work, “Mathematical Principles of Natural Philosophy” (referred to simply as “Principles”), was published, incorporating his most outstanding discoveries in the fields of mechanics, astronomy, the structure of the Earth, acoustics, optics, etc. This book also contains those “Newton’s laws” that we all remember from school and seem to bring such clarity to the structure of the universe, about which S.Ya. Marshak wittily remarked in the first part of his famous epigram:

This world was shrouded in deep darkness.

Let there be light! And then Newton appeared...

But Satan did not wait long for revenge:

Einstein came and everything became the same as before...

But even then, and even more so today, few people paid attention to the fact that behind the series of mathematical formulas and precise formulations of the fundamental laws of the material world there are also hidden the deepest esoteric ideas. Physics for Newton is nothing more than one of the tools for understanding the Creator and his fundamental laws. He interprets the line of the 19th Psalm of David, “The heavens tell of the glory of God, the firmament tells of the works of His hands,” he interprets unambiguously: the very harmony of the structure of our world, the unity and interconnectedness of the laws operating in it testify to its creation and the existence of God...

This is a thought that two centuries later Albert Einstein would come to for a long time and painfully (due to his atheistic upbringing), but for Newton it was natural and unambiguous. Moreover, Newton was sure that he had not discovered anything new, but had simply touched only the very tip of a huge iceberg of the deepest knowledge that the ancients once possessed and which was encrypted in the sacred Jewish books. And driven by the same thirst for knowledge, Newton begins to deeply study Hebrew in order to read the TANAKH in the original, and then immerse himself in the secrets of Kabbalah - the Jewish mystical teaching.

From the book “Chronology of Ancient Kingdoms” already mentioned here and Newton’s manuscripts already studied, a more or less complete, although still full of blank spots, picture of his worldview is being built.

God, he repeated after Rambam, is one, and there is no resemblance to his Uniqueness. He is the Creator of the world, the Creator of the laws of nature and human society, and He, being present everywhere, invisibly guides all human history. He told the secret knowledge about the structure of the universe to the first man Adam, and then they were passed on to the chosen people of their generation after generation and reached the survivor of the flood Noah (Noah), and then were transferred to the forefather of the Jewish people Abraham. Seeing that other peoples were distorting the teachings transmitted to them, the Almighty chose the Jewish people as the custodian and transmitter of this knowledge, and this, from Newton’s point of view, determines the role of the Jews in world history. But in their open form, these secrets have always been accessible to a few. Apart from Noah, they were revealed only to the prophet Moses, and then carefully encrypted in the structure of the portable Tabernacle of the Covenant, which Moses erected in the desert, as well as in the Temple of Jerusalem built by Solomon.

“The very structure of the First Temple of the true faith, open to humanity, is intended to show - through the very symbolism of the Temple - humanity the path to understanding the framework of the existence of this world... It is not surprising that the priests of the Temple rose above the rest of the people with their knowledge of the laws of the universe and introduced them into their theological writings,” - says one of the manuscripts kept in Jerusalem.

The Temple of Jerusalem was, according to Newton, a model of our solar system; the fire on the altar symbolized the Sun; the arrangement of each of its parts proportionally exactly corresponded to the arrangement of the planets in our system, every ritual performed by the priests, the Kohanim and Levites, the order of sacrifices, etc. were filled with the deepest secret meaning...

Newton considered the Torah to be another source of secret knowledge. He did not accept the Judaic idea that the Torah preceded the creation of the world and was handed down word by word to Moses by God, but he recognized that the greatest secrets must be encoded in it, and perhaps it hides another text or even texts - if you try to read it in some other way. More than two centuries would pass, and the invention of computers would be required before the Israeli mathematician Eliyahu Rips would create a special program and discover that when reading through a different number of letters in the Torah, new layers of text would be revealed - and thus confirm Newton's brilliant guess.

The next source of “true knowledge” about the world, about the past and future of humanity, according to Newton, were other books of the TANAKH, primarily revelations revealed to the Jewish prophets, which also had to be deciphered. The historicity and undoubted truth of all the books of the TANAKh did not raise any doubts in him.

In a word, Isaac Newton really came so close to the basic truths and doctrines of Judaism that it seemed that all he had to do was convert.

But, of course, he did not do this and until the end of his life he considered himself a true Christian, although his understanding of Christianity was very peculiar. He denied the doctrine of the Holy Trinity and in his essay “Historical Tracing of Two Notable Corruptions of the Holy Scriptures” he tried to prove that this doctrine itself was born as a result of an error in the understanding and translation of the original text. He did not believe in the Divine origin of Jesus, but at the same time he recognized his “divine mission.” According to his version, the founder of Christianity and his disciples were simply a group of Jews who were carriers of the same “secret knowledge” discussed above and who decided to follow Divine instructions as they understood them, that is, he put Jesus on the level of a prophet, almost commensurate with Moses (which, of course, is already extremely far from Judaism).

Newton also believed that with the help of spiritual instruments one can influence the material world. This was precisely what explained his interest in alchemy - he believed that the process of transforming base metals into noble ones was possible, but with the help of certain spiritual mechanisms rather than material ones.

The methods Sir Isaac Newton used to date biblical events and decipher the writings of the prophets can be judged from the posthumously published “Notes on the Book of the Prophet Daniel and the Apocalypse of St. John.”

It is clear that such a Newton seemed to the adherents of academic science to be an old man gone crazy, a speculator and profanator, in no way compatible with the idea of ​​​​the author of the basic laws of mechanics, the law of universal gravitation, refraction of light, etc., on whose monument is engraved “With his mind he surpassed the race human". And that is why they so recoiled from his handwritten legacy. But if he really “exceeded the human race in intelligence,” then maybe it’s still worth paying attention to these works of his?

Moreover, by combining a variety of methods - both purely scientific and theological - Newton tried to look beyond the veil of the future and, following the Jewish mystics, to calculate the date of the coming of the Messiah and the end of human history as a history of wars and disasters, as well as to predict a number of individual future ones. events.

In particular, based on these calculations, he argued that in the 1880s, Jews would begin to return to the land of their ancestors - and this prediction came true “100 percent.” Newton foresaw that in the 1940s, after some terrible cataclysm in which millions of people would die, the Jewish state would be reborn in the land of Israel. Even at the beginning of the twentieth century, this prophecy would have seemed complete nonsense to everyone, but, as we see, it came true.

Newton timed the coming of the Messiah to the 2060s. Will this “nonsense” of the great physicist and theologian come true? Well, whoever survives will be able to check...

Isaac Newton left a significant mark on physics, mathematics, and philosophy. He did not strive for fame, but was a member of parliament and head of the Royal Society of London. The son of a simple farmer, he was awarded a knighthood.

The life of the great scientist Sir Isaac Newton (1643-1727) was entirely devoted to science. Based on the mathematical method he created, he united disparate disciplines - mechanics, astronomy, optics, etc. - into a single fundamental scientific theory, which in those days was commonly called natural philosophy, i.e. philosophy of nature. At the same time, Newton’s activity was not limited to theoretical reasoning, but was filled with practical research and development, in which the fruits of his numerous discoveries in mathematics were widely used.

But let's start from the very beginning. On Christmas Day 1643, in the village of Wolstrop, Lincolnshire, a boy was born into a wealthy farming family. He was a “posthumous” child; his father died before his birth. The newborn seemed so frail and sickly that for a long time they were afraid to baptize him. Then no one could have said that this baby would live for 84 years.

When Isaac was three years old, his mother remarried. In her new marriage, she gave birth to three children and completely focused on the new family, into which little Isaac did not fit into. Apart from the uncle (mother's brother), almost no one was interested in the child. Isaac became withdrawn. Books and the construction of all sorts of gizmos, such as sundials and water dials, attracted him more than games with peers and hooligan pranks. Loneliness, a feeling of isolation from other people and the inability to communicate remained with him for the rest of his life. He never married.

Seven years later, the mother was widowed. She passed on the inheritance from her husband to her eldest son, but this did not bring them closer. Two years later, Isaac went to school, where teachers noticed his rare talent. However, the mother wanted her son to return home and partially take over the management of the household. But farming was alien to Isaac; he still spent his time reading and creating various mechanisms. Thanks to the intervention of his uncle and the persuasion of school teachers, his mother nevertheless allowed him to continue his studies.

In 1661, Isaac Newton became a student at Trinity College, Cambridge University, and became immersed in science. He was occupied not only and not so much by the works of classics, such as Aristotle, but by the discoveries of the last century; he became acquainted with the works of Galileo, Copernicus, Kepler. At his first exam in mathematics, Newton amazed the professors by the fact that he did not know the treatises of the founding father of this science, Euclid, but read the works of the recently deceased Descartes.

In 1664, Newton received his bachelor's degree. But the plague epidemic that broke out in England forced the authorities to temporarily close the University of Cambridge. Newton spent almost two years at Woolstrop, where, in his own words, “he was at the best age for discoveries and thought more about mathematics and philosophy than ever later.” The result of these years was the discovery of infinite series and the formula for reducing any degree to these series (Newton's binomial), differential and integral calculus. Judging by Newton's notes, the law of universal gravitation was discovered at the same time (around 1666), and it is doubtful that the apple played an important role in this. But later, thanks to biographers and the witty Voltaire, the legend of a fallen apple, which prompted the scientist to make a brilliant discovery, became firmly rooted in people’s heads.

When the plague subsided, Newton returned to her native Trinity College and even began teaching there, although he was an unsuccessful teacher; students skipped his lectures.

Continuing to engage in science, Newton discovered the phenomenon of dispersion - different refractions of light, which made it possible to build a telescope with a significantly higher magnification than previous models. For this discovery, in 1672 the scientist was accepted into the Royal Society of London, the leading scientific association in England. But many members of the Society did not understand Newton’s work, disputes and conflicts began that tired the scientist, so for a long time he suspended communication with most of his colleagues.

But in the mid-70s, I met a person in absentia who perfectly understood what Newton wrote about in his writings. This man was Gottfried Wilhelm Leibniz, already at that time a fairly well-known philosopher and researcher, who also spent several years studying the problem of infinite series. Newton and Leibniz exchanged several messages, but the topic was no longer of much interest to Newton, so the correspondence quickly fizzled out. As a result, Leibniz's version of calculus became known to the general public much earlier than Newton's first published works on the subject. History clearly shows Newton's attitude towards fame and recognition: he did not need them, moreover, he avoided them.

Nevertheless, under the influence of friends, the scientist agreed to publish a work on the “general theory of motion.” And in 1687, Newton’s most significant work, “Mathematical Principles of Natural Philosophy,” written in Latin, was published in London, in which, based on mathematical research methods, the author sought to substantiate the general laws of the universe. The book not only deduced the famous law of universal gravitation and the three laws of classical mechanics, but also explained the attraction of massive spheres, the problems of the movement of the Moon, and the ebb and flow of the tides. And in the introductory part, Newton almost completely described the theory of limits. It was the mathematical approach to describing the laws of nature that fundamentally distinguished Newton from his predecessors. The treatise did not contain speculative reasoning, but calculations, drawings, tables and conclusions based on strict evidence. At the same time, in order not to shock his fellow scientists, Newton abandoned the methods of mathematical analysis that he had already developed and built an evidence base on old generally accepted methods.

During Newton's lifetime, "Principia" was republished three times, and each time he added and refined his work.

The treatise became the pinnacle of Newton's scientific career. Subsequently, without abandoning his research, Sir Isaac was engaged in more varied activities. He quarreled with King James II, who demanded that a Catholic monk be given a scientific title. After the expulsion of James II, Newton was elected to represent Cambridge University in Parliament.

Then followed two years of serious illness, caused either by poisoning during experiments in chemistry, or by overwork, or by shock after the Great Fire of London, when part of the archive was destroyed in the fire.

By the end of 1693, Newton had recovered, and in 1695 he was able to accept the position offered to him as keeper of the London Mint. Four years later he became its director. During this time, thanks to Newton’s efforts, the number of counterfeit money in the country decreased noticeably. While working at the Mint, Newton met Tsar Peter I, who was then visiting London. Subsequently, the scientist sent several copies of the new edition of “Beginnings” to Russia.

In 1703, Isaac Newton was elected head of the Royal Society of London. He remained in this post until his death. Fame still overtook him. In 1705, he became the first person in history to receive a knighthood for scientific services.

Newton's lectures on algebra were soon published, marking the beginning of computational mathematics.

The second half of the 1700s was marked by an ugly dispute with Leibniz over the authorship of the theory of calculus. As mentioned above, Newton, unlike Leibniz, was in no hurry to publish the results of his discoveries, so when the first article appeared about the version of analysis proposed by Newton, the Englishman was accused of plagiarism. Outraged, Newton insisted on convening an international commission to resolve the issue. The commission confirmed that he was right and accused Leibniz of theft. A real war broke out between supporters of both scientists, which ended with the death of Leibniz.

Newton outlived his opponent by eleven years. At the end of his life, he worked on the historical treatise “Chronology of Ancient Kingdoms” and was preparing the next edition of his main work. Sir Isaac died in his sleep on March 20, 1727. He was buried in Westminster Abbey in London.



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