A lot of philosophy seems to be "philosophy of x" -- philosophy of science,

A lot of philosophy seems to be "philosophy of x" -- philosophy of science,

A lot of philosophy seems to be "philosophy of x" -- philosophy of science, philosophy of language, philosophy of mathematics, etc. Given this, should philosophy, institutionally speaking, be treated as a separate discipline at all? I mean, why couldn't the various philosophies of x be absorbed into the various types of x?

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