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Gödel tapping the sign

No consistent system of axioms whose theorems can be listed by an effective procedure (i.e., an algorithm) is capable of proving all truths about the arithmetic of natural numbers

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:wojak-nooo: Kronecker and Wittgenstein crying: Noooo! you can’t use a diagonalization argument to prove by contradiction.

Cantor, Gödel and Turing: haha, well look at that, the diagonal can’t exist. QED

Whoops: Hilbert actually liked Cantor’s proof.

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Other philosophy communities have only interpreted the world in various ways. The point, however, is to change it. [ x ]

“I thunk it so I dunk it.” - Descartes


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