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This leads to the question: Is math invented or discovered?
Phys-L@Phys-L.org writes:
P.S.
Mathematicians, on the other hand, do not perform experiments; their
statements are validated logically, using accepted axioms and
already-proven theorems. This is also worth emphasizing. Yes, we all use
logic. That is why some people think that mathematics is science.
Was the Pythagorean relation first discovered (by experimenting with
triangles) or was it first derived? I strongly suspect that it was first
discovered and then formally validated.
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Speculations not based on experimental data