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wnoise comments on Rationality quotes: October 2010 - LessWrong
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Would you say that thinking logically requires reasonable axioms, or merely the ability to reason correctly given a set of axioms?
Humans don't think logically (as in, formal logic where talking about axioms makes sense), so I don't understand your question.
So a math proof is evidence that mathematicians aren't human? You might want to back off from that statement. Humans don't always think logically.
It was an analogy -- prior beliefs in either informal reasoning or Bayesian probabilities are like axioms in that they're input to a procedure to determine conclusions. The analogy doesn't have to be instantiated precisely in humans to have a reasonable sense extractable.