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On Mathematical Thinking
Principle 1 logical thinking.

What are the benefits of following the 1 principle?

Reason 1 In life, we sometimes have to face very complicated problems, and it is difficult to filter out a lot of noise. At this time, we need a tool to make correct judgments without being affected by noise, and mathematical thinking is such a tool;

Reason two: it is easier to find problems by using mathematical thinking;

Because of the law of contradiction, that is, a thing cannot have an A attribute and an A attribute at the same time. For example, when it is proved to be an irrational number, it is assumed by reduction to absurdity that if it is a rational number P/Q, then the two integers P and Q cannot be prime numbers and even numbers at the same time, which violates the law of contradiction. For another example, it is impossible for China to have all the wealth in the world, and it is also against the law of contradiction for other parts of the world to afford goods from China.

Steps 1 Analyze the problem

The second step is to find out the logic behind the problem and what mathematical knowledge is needed.

The third step is to re-describe the problem with mathematical language.

In fact, solving problems with mathematical thinking is a process of mathematical modeling.