Statements about the mathematics of the great mathematicians. Statements of great people about mathematics

Statements about mathematics as an abstract science can be found not only in historical sources, but also in everyday conditions, where it is necessary to carry out calculations and measurements. We perform operations of describing objects in terms of volume and form every day. Starting with the number of spoons of sugar put in coffee, until the exact deduction of the interest rate of the loan taken.

Definition

The first definitions and statements about mathematics can be found in the French philosopher Rene Descartes: “We need to combine under the old, well-known concept of universal mathematics everything that needs to be put in order, or measure. And it doesn’t matter what measurements will be made, by numbers or sounds, stars or figures. ”

In the Soviet Union, the statement of A. N. Kolmogorov was considered traditional: “This is a science where the quantitative relation is closely related to the real form of the world. But only in an expanded and completely abstract concept. ”

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

Hermann Weil doubted that in general one could give a clear definition of mathematics: “The question of the basics can be considered open. It is hard to imagine that over time we will find a definition of mathematics that will suit everyone. Since this is more likely not a science, but a creative activity, like music or versification. ”

Science Quotes

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

• "This is the tool of any scientist, like a scalpel for a surgeon" (N. Abel).
• “On the earth there is only beauty, the main thing in beauty is form, ideal form is ideal proportions, proportions consist of numbers. Conclusion: beauty is numbers” (A. Augustin).
• "The main benefit of mathematics for the layman is that it is difficult" (A. Alexandrov).
• “This is a science of rigor and clarity. In moral terms, 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).

Mistakes and miscalculations

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

• "Mathematics does not tolerate errors" (E. Bell).
• “There is no such thing as 'obvious'” (E. Bell).
• "Even the ancient Greeks said" mathematics ", but meant" proof "" (N. Bourbaki).
• “The five terms — point, angle, body, line and surface — are mathematics. But the perspective of artists is decided by precisely these concepts” (L. da Vinci).
• “A math error can cost the life of not only one person, but the whole civilization” (N. Bourbaki).
• “We get flour from grain. But they grind the millstones that they fall asleep in them. If you fill up a quinoa, you won’t bake bread. So in mathematics, if you made a mistake at the beginning, you won’t get the right conclusions” (T. Huxley).
• “There are no people incapable in this science. So, you simply reacted carelessly to learning” (I. Herbart).

Aphorisms about algebra

Statements about the mathematics of great mathematicians are not only a broad concept of computing, but also a narrow focus on algebra, geometry and physics:

• “Algebra is more than science, it is a way of talking about science” (N. Bohr).
• “This cannot 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 life itself from those who want to penetrate its secret” (E. Bourdelle).
• "Practice is born from the union of algebra, physics and geometry" (R. Bacon).
• “You cannot truly understand algebra without being a poet” (C. 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 to consider deeper issues” (C. Weierstrass).
• "Solving problems in algebra is taking an enemy fortress and setting your flag on the towers of the defeated city" (N. Vilenkin).

Geometry as Visual Reasoning

Statements 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).
• "Is there no contradiction, mystery, or trouble in geometry?" (D. Berkeley).
• “Geometry and logic are two miracles. Here all definitions are clear, no one disputes the postulates, clear reasoning is poured into the observational process to identify the properties of the figure, and the figure is always in front of you. All this forms the habit of thinking in a consistent way” (D. Berkeley).
• “Elementary geometry makes us use unusual, even witty techniques” (E. Borel).
• "We carry on our shoulders the whole burden of Greek scientific thought, we go the way of the heroes of the Renaissance, since civilization cannot exist without geometry" (A. Weil).
• “Geometry brings order to the chaos of everything that surrounds us” (N. Wiener).
• "Our whole world can be geometrically calculated" (N. Wiener).

The beauty of computing

Statements about the mathematics of great mathematicians confirms that the beauty of numbers and numbers can be compared with true art:

• “The number is the first perception of the ideal. The pleasure is in the feeling that certain numbers can welcome equal intervals and disapprove of messy ones” (A. Augustin).
• "Intuition can be legitimized in mathematical rigor" (J. Hadamard).
• “The science of computing forms the character and personality of a person by the clarity of thought and proved logical truths” (A. Alexandrov).
• “The figures, with all their external rigor, are full of the internal heat of knowledge” (A. Alexandrov).
• "The Pythagoreans considered mathematical science the beginning of all things" (Aristotle).
• “When solving one problem with analysis of a specific action, general methods can be formulated that will be useful for solving such problems where there is the unknown” (M. Bashmakov).
• “Science has such a development that today's solid stone of knowledge can turn into a web in a few years” (E. Bell).

Profession or life

Statements about the mathematics of A. V. Voloshinov introduce us to the great science. Allow us to perceive it as part of our life:

• “Mathematics will always be the mistress of all areas 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 her omnipotent. Today, every person who is not related to mathematics knows that this is a great force, the influence of which has no boundaries. "
• "True statements in mathematics can be afforded only by one who is truly in love with science."
• “Mathematics found a meaningful and systematic application to art 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.”

Pythagore's statements about mathematics as a science began

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

His other statements, more philosophical, can be interpreted as you like:

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

Lomonosov's statements about mathematics

Russian scientist Mikhail Vasilievich was not only a great scientist, he studied all branches of science: from chemistry to versification. The most quoted statement of Lomonosov about mathematics is the following: "Mathematics must be known only after that it brings the mind in order."

Also, at Lomonosov, you can find statements about specific disciplines:

• "Geometry is the queen of all thought research."
• "Chemistry is the hands of physics, and the eyes are mathematics itself."
• "Blind physicist without the science of computing."
• "All that is doubtful in such sciences as aerometry, hydraulics and optics, mathematical calculation will make it clear, obvious and true."

Witty reasoning

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

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

Adapted sayings for children

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

• "It is not enough to have a penetrating mind, you need to find a use for it" (R. Descartes).
• “The hardest thing is to know yourself” (Felas).
• “Before tackling the problem, you need to carefully read the conditions” (J. Hadamard).

Quotes of the great

Statements by scientists about mathematics and science as a whole once again prove that the rudiments of elementary knowledge in the modern world simply can not do:

• “In any science, one can find such a percentage of truth that is contained in the science of computing” (Kant).
• “Mathematicians are similar to Italians. You tell them something, they immediately translate into their own language, and back we get something the opposite” (Goethe).
• “The laws of computation that are relevant to the real world are unreliable. And the most reliable laws are abstract” (A. Einstein).
• “From the time that mathematics began to calculate the theory of relativity, I myself don’t understand it” (A. Einstein).

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