CronoDAS comments on The Last Number - Less Wrong
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Comments (57)
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?
It's a "proof" in that it follows the formal rules of the proof system. You can "prove" anything if your rules are sufficiently ridiculous, but that doesn't mean the proof actually means anything.
Thanks.