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If I stare deeply enough into my navel for weeks at a time, I too will type an essay of the stupidest shit you've ever read.
In Logic 101 we learn how sets of propositions can be wildly incoherent and yet still be logically valid.
Philosophers took that seriously.
things can be incoherant and true but things can't be contradictory and true A = B AND A != B is not valid and can't be true