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Do mathematics and philosophy belong to natural science or social science respectively?
Mathematics is a language, which is artificially created to eliminate ambiguity, similar to language and Chinese.

Therefore, mathematics is not the natural science or social science mentioned in the question, that is, it is unscientific.

If you insist on science, it is also a social science.

[Definition]: The so-called philosophy is "point" in mathematical language, that is, which team is the viewpoint, argument, starting point, foothold, "position" and so on.

Wait a minute.

From the point of view, it includes outlook on life, values and world outlook. From the viewpoint, it includes materialism, idealism and methodology. It is important to note that this definition is more abstract than traditional textbooks.

Therefore, philosophy

It is not the natural science or social science mentioned in the question, that is, unscientific.

If you insist on science, it is also a social science.

For example, religion