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/sci/ - Science & Math


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15039453 No.15039453 [Reply] [Original]

Can someone explain what is meant by the text I highlighted? Also, Axiom of Choice thread.

>> No.15039497

>>15039453
AC is used in many non-constructivist proofs.

>> No.15039521

>>15039497
AoDC is, full AoC is useless schizo babble that doesn't hold in some toposes physicists care about

>> No.15039610

>>15039521
dependent choice?

>> No.15039618

>>15039453
You can use AC to prove that some things exist that cannot be explicitly constructed, such as a basis of a linear space with an infinite dimension.

>> No.15039708

>>15039453
Axiom should be replaced by the word assumption and then axiom should be deleted from the English language so we never have to see it again and anyone using it should be publicly raped by a pack of wild niggers