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Why the downvote?
– Marco Ocram
Commented Apr 5 at 7:41
Not down voted from me!
– kouty
Commented Apr 5 at 7:50
But maybe by this way that the imagination doesn't touch knowledge, the rules of a game don't teach nothing about logical necessity.
– kouty
Commented Apr 5 at 8:13
@kouty Which game do you mean? Where does your question refer to "logical necessity"?
– Jo Wehler
Commented Apr 5 at 9:06
3

@Kouty I agree that mathematics strives for clear concepts and logical argumentation of its proofs. But mathematics does not strive for necessity in the sense of necessary facts versus contingent facts in our world: Mathematics provides a whole bunch of geometries different from the Euclidean geometry. But mathematics does not ask which geometry explains best our observations in cosmology.
– Jo Wehler
Commented Apr 5 at 10:00

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