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How important are people who study mathematics to the cultivation of logical thinking?
For science and engineering, mathematics is very important, and you will find it more important in graduate school or doctoral study. I've been studying mathematics. Both my undergraduate degree and my master's degree are mathematics majors, and then I'm interdisciplinary. People around me have mentioned that my logic is ok, but personally, the more I learn, the less I won't know, and the more I won't know. It is important to cultivate a good logic, but personally, it is definitely not a short-term thing. In the long run, it depends on your current learning stage.

Improving the logical thinking method of junior and senior high school students

Different learning stages will have different emphases. If the logic of junior and senior high school training is relatively simple, because junior and senior high schools mainly take exams, and the knowledge they learn is relatively narrow, while the questions of senior high school entrance examination and college entrance examination are relatively fixed, and training is relatively easy, I think the following two points should be done well.

On the one hand, the knowledge points are coherent, and you can't think about each piece of knowledge independently. You need to know which block is related to which block, such as the combination of trigonometric function and plane vector, solid geometry and space vector. The most important thing is to think independently and try not to let the teacher or others take you away. You have to think for yourself, to ponder the intersection and correlation between knowledge.

On the other hand, think about problems, not just finish them. Think about what knowledge points he has tested, the logic of propositioning people, and where his proposition is. After repeated training, over time, you will naturally know what he is going to test, and it will be handy to start doing the questions.

Ben Shuobo improves logical thinking methods.

If you are an undergraduate or graduate student majoring in mathematics, congratulations. Mathematics is huge beyond your imagination, and there are too many branches, such as mathematical analysis, advanced mathematics, probability theory, convex analysis, convex optimization ... at this time, your focus is not on doing exams. You need to know the classification of disciplines, which are basic theories and which are applied theories, not only why, but also whether you can try further.

If you are not a math major, I personally think that other majors pay more attention to application and learn the math knowledge you can use. But if you want to learn it well and cultivate logic, you can't just use formulas and theorems. You need to know why, if you understand it in place, if you know more, natural logic will come up.

In short, you should learn thoroughly, pay attention to correlation and classification, and the most important thing is thinking. If you have nothing to do, just think about it slowly.