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Stuart_Armstrong comments on The Last Number - Less Wrong
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I'm familiar with "anything statement can be derived from an inconsistent theory" but I really am confused by how any such derivation could be a proof of consistency. If proofs of consistency are possible for inconsistent theories then how exactly are they proofs of consistency?
If I tell the truth, I cannot say: "I lie".
But if I lie, I can say: "I tell the truth".