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Philosophical thoughts are diverse, why is mathematics unique?
Because philosophy is the intersection of various ways of thinking, mathematics is basically established with one way of thinking.

For example, mathematics is based on three laws: 1. (Identity) A thing can only be itself; 2. (law of excluded middle) A thing can't be neither true nor false, but in some intermediate state; 3. (Law of Contradiction) One thing cannot be true or false.

The above laws are the basis of logic, so they are also the basis of mathematics. However, from a philosophical point of view, they can only be regarded as a kind of philosophy. If you think about those things in ancient China, you can see deviations from the above three laws everywhere.

To add:

The essence of philosophy is a collection of various ideas, while mathematics is a kind of science. Science must have a complete set of thinking and research methods in order to achieve stable development.

Criticize the saying upstairs:

In fact, scientific thought also comes from philosophy. You can't separate philosophy from science like you, saying it's the difference between sensibility and rationality, and the difference between subjectivity and objectivity. Rationality and objectivity in science are also a kind of philosophy. However, this particular concept is fixed in science, and it continues to be deeply studied, while philosophy is still the place where various viewpoints gather and argue.