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Why are many mathematicians also philosophers?
Philosophy always solves the most basic problems, or the most primitive problems, such as the reason why axioms in mathematics are established, because they are all free (as their own basis), which is similar to the ontological dilemma of learning in philosophy and the origin of the world. In addition, Leibniz also has two identities. He invented the binary system of the computer because he believes that the problems in philosophy are caused by language abuse. When language is as accurate as the symbols in mathematics, everything will be inevitable, no matter right or wrong, and there is no vague intermediate state, and computers are indirect simulations of people's thinking all over the world.

In other words, studying philosophy is very helpful to other social sciences, such as sociology and economics, which are inseparable from the abstraction of philosophical thinking in the real world, including people, such as studying statistics or engaging in economics in the future. This is very helpful. By the way, the doctors who won the most Nobel Prize in Economics in recent years are all philosophy, while the previous stage (undergraduate and postgraduate) was mathematics, not economics. Or Einstein or Hawking (as can be seen from A Brief History of Time). They are engaged in theoretical physics, which involves some space-time problems and intersects with philosophy. Yang Zhenlin and Li Zhengdao are both doctors studying philosophy.

I suggest you apply, because I also study philosophy and science in high school. Now my major is philosophy, minor in computer and study will be very busy, and math is not very studious (it takes time). I suggest studying philosophy, or at least reading a certain amount of philosophy books by myself.