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The question is very banal, I don't even know whether to answer it, given that so many people have done it before me and probably better than me. The essence of mathematics, in my opinion, as in the opinion of many other people, is to create a universal description language that is the most accurate, unambiguous and convenient to use, and therefore suitable for applied problems in any field. And it begins with abstracting, i.e. with identifying and idealizing the most general properties of objects in the real world, and, in fact, separating these properties from the real world. It may seem paradoxical that, despite the fact that mathematics can be used in any field of human knowledge, it is in itself an absolutely abstract science, not tied to the real world in any way, but this paradox is only apparent. After all, the scalpel is also not tied to the surgeon's hand or to the patient, but no operation can do without it. The computer's microprocessor is not tied to writing text in Russian in any way, but, nevertheless, I use it to write an answer to you. The glass is not tied in any way to the drink that I will drink from it: I can drink water, milk, tea, wine from it, I can not drink anything at all, but use it to show tricks, but this does not exclude the possibility of using it for drinking. Similarly, mathematics is a universal tool that has nothing to do with reality in itself, but which is nevertheless the most convenient tool for describing it.

Math gives –

methods and models for solving any problems of any sciences –

logical, numerical, and geometric methods and models.

This is where mathematics begins.

Math for a child begins with the question ” How old are you?”. The child points on his fingers. Then there is a desire to count items. Compare values, etc.

Modern life is impossible without mathematics.

I remembered that my grandmother (my father's mother) was illiterate, but she could count. Distributed food for the year, enough until the new crop.

So much for math – feed your family.

Mathematics, in my opinion, begins with the ability to see any entity from several sides, the ability to generalize, distinguish and notice analogies where they are not obvious

This is not an easy question to answer. The essence of mathematics is to summarize both a thought and a process or phenomenon.

Therefore, mathematicians are included in the development group along with specialists in chemistry, physics, biology, and even medicine. The task of a mathematician is to find an algorithm that explains a particular process or phenomenon (whether natural or social), describe it correctly, and make recommendations based on the calculations obtained.

And mathematics begins with an introduction to the basic laws that have been known and worked for many years.

Mathematics is, in fact, a tautology: several statements are put as axioms, and all theorems and statements are just a reformulation of these axioms (there is nothing meaningful new in theorems: everything meaningful is originally laid down in axioms; therefore, all theorems are essentially tautologies).

Mathematics is a tool, a language that people have created to describe processes and phenomena in nature as accurately as possible (if we stand on the positions of materialism).

Mathematics is the language of God, in which he wrote the book of the universe (of course, only if there is a God).

Mathematics is the only thing that objectively exists; some mathematical structures are so complex that they subjectively perceive themselves as existing in the real world (the entire physical universe, including humans, is only the most complex mathematical structure – Max Tegmark's mathematical Universe hypothesis)

Mathematical objects exist objectively in Plato's world of ideas; or mathematical objects exist only in people's heads, are convenient abstractions that people have invented, and have no relation to anything that objectively exists.

Probably all the ideas I know about the essence of mathematics

First, I will answer the second question: mathematics, like any other science, and not only science, begins with an interest in it. With passion, with the discovery of the ability to perceive and understand it, with the desire to brag about it in front of others(ambition is a powerful incentive to start doing something). But the interest does not appear from scratch and is not fed only by a strong-willed desire for something necessary(according to others or their own opinion). A person without hearing is unlikely to understand and love music. He can do it for some reason, but it is unlikely that he will achieve significant results. So you should start mathematics only if you have this feeling of being able to comprehend its essence, harmony, and beauty… People with a logical mindset, capable of abstract thinking can feel an interest in mathematics already in early childhood. For me, mathematics began with books: “The Frigate of Captain Unity”…(kindergarten), “In the land of the magic unicorn”…(elementary classes),” Entertaining mathematics “by Perelman…, ” Higher Mathematics for beginners”…(middle, high school)… – further on increasing. Most people with a liberal arts mindset are unlikely to seriously delve into mathematics, although studying it clearly does not hurt them.

The question “What is the essence of mathematics?” this is a question of the level “What is the meaning of life?”. The answers also range from simple and natural-the essence of mathematics is that it is just a kind of tool for learning and transforming the world(for human needs), to philosophically sophisticated-mathematics is a kind of superstructure over the subject-everyday thinking of a person, allowing him to get out of this thinking into the heavenly spheres and discuss with God the ways of creation and A more prosaic question with a clearer answer – What is the point of STUDYING mathematics? And the point of studying is to expand your horizons on ways to solve certain life problems. Studying mathematics organizes thinking, complements (rather than opposes) intuitive chaotic methods of finding solutions with strict logical reasoning, and helps you approach a wide variety of problems analytically.

I can also add that mathematics does not interfere with the development and use of a person's humanitarian inclinations and interests. The opposite is also true – so my passion for drawing and writing poetry has never prevented me from being a professional programmer.

Personal opinion has nothing to do with it.

The essence of mathematics: it builds logical models. Which then come in handy in the exact sciences.

Mathematics begins with the discipline of thinking and perfect logic.