Sayings about the mathematics of great mathematicians. Sayings of great men about mathematics

Statements about mathematics as an abstract science can be found not only in historical sources, but also in everyday conditions, where calculations and measurements must be carried out. The operations of describing objects in terms of volume and shape we produce every day. Starting with the number of spoons of sugar placed in coffee, until the exact interest rate of the borrowed credit is deducted.

Definition

The first definitions and statements about mathematics can be found in the French philosopher Rene Descartes: "We need to combine everything that needs to be put in order under the old, all known concept of universal mathematics, or to measure the measure. And it does not matter what measurements will be taken, by numbers or sounds, stars or figures. "

In the Soviet Union, the saying of AN Kolmogorov was traditional: "This is a science where the quantitative ratio is closely related to the real form of the surrounding world. But only in an expanded and completely abstract concept. "

Nicolas Bourbaki is a group of scientists from France who have written several books about modern science. The group was created in 1935, the statements about mathematics were in the epigraph of the first edition: "The essence of this great science can be called a doctrine of the impact of objects on each other. Some properties of objects may not be known, but they can be calculated using known, fundamental qualities. This is a set of abstract structures. "

Herman Weyl doubted that in general we can give a clear definition of mathematics: "The question of the basics can be considered open. It is difficult to imagine that over time we will find such a definition of mathematics that will suit everyone. Since this is more a science than a creative activity, like music or versification. "

Quotes about science

Sayings about the mathematics of great mathematicians and brief quotes ask more questions than answer them:

• "This is a tool of any scientist, like a scalpel for a surgeon" (N. Abel).
• "On the earth there is only beauty, in beauty the main thing is the form, the ideal form is the ideal proportions, the proportions consist of numbers." Conclusion: Beauty is numbers "(A. Augustin).
• "The main advantage of mathematics for ordinary people is that it is difficult" (A. Aleksandrov).
• "It is a science of rigor and clarity: in the moral sense, it can be considered a truth that is clear and does not like fog" (L. Bers).
• "Mathematics is an unshakable structure and a true prophecy" (L. Bers).

Errors and Miscalculations

The statements about the mathematics of great mathematicians remind that this science excludes the possibility of errors in any field of activity:

• "Mathematics does not tolerate mistakes" (E. Bell).
• "There is no such thing as" obvious "(E. Bell).
• "Even the ancient Greeks said" mathematics ", and meant" proof "" (N. Bourbaki).
• "Five terms - a point, an angle, a body, a line and a surface - is mathematics, but the perspective of artists is decided by these concepts" (L. da Vinci).
• "The mistake of a mathematician can cost a life not only to one person, but to the whole civilization" (N. Bourbaki).
• "We get the flour from the grain, but the millstones are grinded that they are falling asleep." "You'll fill up the swan, you will not bake bread." So in mathematics, if you made a mistake at the beginning, you can not get the right conclusions "(T. Huxley).
• "There is no one who is incompetent in this science, so you simply carelessly reacted to learning" (I. Herbart).

Aphorisms about algebra

The statements about the mathematics of great mathematicians - is not only a broad concept of computation, but also a narrow focus on algebra, geometry and physics:

• "Algebra is more than science, it's a way to talk about science" (N. Bohr).
• "It can not be hard work, algebra is created for pleasure and to help people" (R. Bringhurst).
• "Art is a hidden algebra, it takes away all the time and the very life of those who want to penetrate its secret" (E. Burdel).
• "Practice is born from the union of algebra, physics and geometry" (R. Bacon).
• "You can not really understand algebra without being a poet" (K. Weierstrass).
• "Between algebra and the natural sciences it is necessary to establish the deepest interaction, it is often perceived as an auxiliary discipline, but it is necessary for considering deeper questions" (K. Weierstrass).
• "The solution of problems in algebra is taking the enemy fortress and installing its flag on the towers of the defeated city" (N. Vilenkin).

Geometry as visual reasoning

Sayings of great people about mathematics and geometry can be created by yourself or see the truth with your own eyes.

• "If you look closely, then everything that surrounds us is geometry" (A. Alexandrov).
• "Unless in geometry there are no contradictions, secrets and troubles?" (D. Berkeley).
• "Geometry and logic are two miracles: here all the definitions have clarity, no one disputes postulates, clear reasoning pours out to the observational process to reveal the properties of the figure, and the figure is always in front of you." This all forms the habit of thinking consistently. " (D. Berkeley).
• "Elementary geometry makes you use unusual, even witty methods" (E. Borel).
• "We bear on our shoulders the full burden of Greek scientific thought, we go the road of the heroes of the Renaissance, since civilization can not exist without geometry" (A. Weil).
• "Geometry brings order to the chaos of everything that surrounds us" (N. Wiener).
• "Our whole world can be calculated geometrically" (N. Wiener).

The beauty of computing

The statements about the mathematics of great mathematicians confirm that the beauty of numbers and numbers can be compared to true art:

• "The number is the first perception of the ideal." Pleasure is in the very feeling that certain numbers can welcome equal intervals and not approve of disorderly ones "(A. Augustin).
• "Intuition can be legalized in mathematical rigor" (J. Hadamard).
• "The science of computation forms the character and personality of man by the clarity of thought and the proven logical truths" (A. Alexandrov).
• "Figures for all external rigor are full of internal heat of knowledge" (A. Aleksandrov).
• "The Pythagoreans considered mathematics the beginning of all things" (Aristotle).
• "In solving one problem with the analysis of a concrete action, it is possible to formulate general methods that will be useful for solving such problems, where there is an unknown" (M. Bashmakov).
• "Science has such a development that today's solid stone of knowledge can become a web in a few years" (E. Bell).

Profession or life

The statements about the mathematician AV Voloshinov acquaint us with the great science. Allow to perceive it as a part of our life:

• "Mathematics will always be the master of all directions and disciplines. The purity of mathematics has no vertices, it is infinite. This is the link that links art and computing. "
• "Only this computational science in its development was devoid of materiality. This property makes it all-powerful. Today every person who is not related to mathematics knows that this is a great force, the influence of which has no boundaries. "
• "Only those who are really in love with science can afford true statements in mathematics."
• "A sensible and systematic application to the art of mathematics found in music, as well as in the works of Pythagoras and his students."
• "Mathematics is beautiful in itself, but when it brings this beauty to the development of civilization, it becomes a search for perfection."

Pythagorean's statements on mathematics as a science began

The most famous saying of Pythagoras sounds like a slogan for followers: "Everything is a number."

Other of his statements, more philosophical, can be interpreted as anything:

• "Do a great thing, but do not promise a great achievement."
• "To learn the laws of mathematics, try first of all to learn the language of numbers."
• "Examine everything that you see, let your mind be in the first place."

Lomonosov's statements on mathematics

Russian scientist Mikhail Vasilyevich was not only a great scientist, he researched all branches of science: from chemistry to versification. The most quoted statement of Lomonosov on mathematics is: "Mathematics should be known only then, that it brings the mind to order."

Also, Lomonosov can find statements about specific disciplines:

• "Geometry is the queen of all thought studies."
• "Chemistry is the hand of physics, and the eyes itself is mathematics."
• "A blind physicist without computing science".
• "Everything that is doubtful is in such sciences as aerometry, hydraulics and optics, the mathematical calculation will make it clear, obvious and true."

Witty reasoning

Sayings about the mathematics of great mathematicians sometimes look like witty sayings. Some are able to understand only knowledgeable people, but there are quotes available to everyone:

• "Different things and things can be called equally due to calculations and formulas" (A. Poincaré).
• "A person who is not familiar with the basics of the science of numbers can not succeed in any case" (R. Bacon).
• "Mathematics is the doctrine of different formulas and their relation, only here there is no content" (D. Hilbert).
• "If no one could prove the theorem, it is called an axiom" (Euclid).
• "Mathematics can do everything! Just can not do what is needed right now" (A. Einstein).

Adapted sayings for children

The remarks about mathematics for children we remember from school years, when under each portrait of the scientist his thoughts and attitude to science were quoted:

• "It is not enough to have an astute mind, we need to find an application for it" (R. Descartes).
• "It's hardest to know yourself" (Felas).
• "Before embarking on the solution of the problem, it is necessary to carefully read the conditions" (J. Hadamard).

Quotes of the great

The statements of scientists about mathematics and science as a whole once again prove that without the rudiments of elementary knowledge in the modern world, one simply can not do:

• "In any science you can find such a percentage of the truth that is contained in the science of calculation" (Kant).
• "Mathematicians are like Italians, they say something, they immediately translate into their own language, and back we get something the opposite" (Goethe).
• "The laws of calculation that are relevant to the real world are unreliable, and the most reliable laws are abstract" (A. Einstein).
• "Since the time when mathematics began to calculate the theory of relativity, I myself do not understand it any more" (A. Einstein).

Sayings of great people about mathematics are not always flattering. But we have to admit that without the science of numbers our civilization can not exist.