Where does the natural number come from?

from childhood onwards, we learn to count "numbers", familiar with the natural numbers the , ... . But we don't know where these natural numbers come from. Why is it called "natural number"?

+ Kronecker, a German mathematician of the century, thought: "God created the natural number, and everything else was man-made." The natural number is intuitively clear. Can be accepted, while others are questionable.

"What he means is that only natural numbers are real, and the rest are just words that people make." He also advocated the construction of the whole of mathematics on the basis of natural numbers.

1907 years. Brouwer, a Dutch mathematician, thinks: "The existence is being constructed," and the number of children "is a person's ability (or talent)." According to his statement, the natural number 1,2,3, ... Can only be forever in the process of being constructed and generated, not the closed entity.

Therefore, the concept of "the whole of natural numbers" is meaningless.

According to Brouwer's point of view. Cantor's theory about infinite sets is unacceptable. 1967 , American mathematician Errett Albert Bishop (1928–1983) constructs the so-called "tectonic analysis" according to Brouwer's intuitive mathematical view, Once again, a new set of calculus has been established.

In this century, structural non-standard analysis flourished, suitable for the computer age.

Description: In the basic research of mathematics. Constructivism is only a mathematical genre. Cannot cover everything. Nor does it represent my personal point of view.

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Where does the natural number come from?