What is the essence of mathematics? The question is: What is mathematics? And when explaining mathematics, it is explained by its essential attributes. Many math books, mostly those math textbooks (I haven't read the original math because I don't like math. The following is my own understanding of mathematics. Everyone thinks that mathematics is the science of studying numbers and shapes. This explanation of mathematics is neither fish nor fowl. Actually, mathematics is number theory, or number theory. There is no need to add any science, of course, mathematics is science, and it is useless to add it or not, and it is useless to add it. If we emphasize the profundity of this theory, we can also say that mathematics is the philosophy of numbers. Why mathematics is the theory of numbers, and shapes are removed? Because shape is not the most essential thing in mathematics, the so-called shape is also a figure, such as triangle, circle, sphere, parabola, cube and so on. These things are the objects of mathematical research, not the essential attributes of mathematics. We usually know that addition, subtraction, multiplication and division are mathematics, the operation law of real numbers and a number theory. So isn't graphics math? Yes, it's just a figure, not math, of course. If you study a figure from the perspective of numbers, for example, when a straight line is perpendicular to another straight line on a plane, how can people study it with numbers? It is pointed out that the angle formed by these two straight lines is 90 degrees, and it is mathematics to study graphics with this number. The man who made Euclidean geometry history is called Descartes. How did Descartes study graphics? Take the circle as an example to illustrate Descartes' thought. Descartes didn't look at the circle like people in the past. He regards the circle as a point set, which means that the circle is a figure connected point by point. Therefore, for Descartes, in order to study the essence of a circle, it is only necessary to study the laws of points that make up a circle. Ideologically speaking, Descartes is more unique and meticulous than previous mathematicians, that is, fine. how

Possibilities can also be explained by numbers. For example, the probability of having a boy and a girl is explained by numbers: 1/2 (that is, 0.5). Another example is dice The possibility of 1 is: 1/6, that is, to illustrate the possibility with numbers. This is math. This kind of mathematics is called probability theory in China (the name is even worse, because the word probability is more mysterious and daunting). I think it's more popular to call it probability theory. So, do you know where 1/2 comes from? There are only two kinds of boys and girls here, so the total number of children born is 2 1, which means that girls are born, totaling 1, the numerator is 1, and the denominator is 2. 1/6 is the same. There are only six numbers on the dice, and 1 is one of these six numbers. 6 is the denominator and 1 is the numerator, so there is 1/6. If the problem is more complicated, the numbers are more complicated. For example, if 1, 2,3 are used to form a three-digit number without duplicates, * * is a six-digit number and 1 is a two-digit number, and its probability is 1/3. Where numerator or denominator, number is a number. This kind of problem is math, of course. China is called permutation and combination, and the name is the most ugly. What is permutation and combination? It is a method to make counting faster in the process of counting, that is, a multiplication (division), which is just the basic method of counting. Replacing essence with basic methods is the inversion of purpose, just a strange word that people, especially children, can't understand. I don't know what the person by that name wants. Don't you want more people in China to know a little math? When I talk about this part of the class, I will delete this bad word and let the students cross it out and change it to arithmetic (it will not affect the college entrance examination). So we should remove form from mathematics. We can't say that mathematics is the science of numbers and shapes. Form is only the object of mathematics, and there are many objects of mathematics, such as space, human society, nature and so on. So far, I have explained what mathematics is. What is mathematics? Mathematics is the study of using numbers to explain the laws of nature.