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wnoise comments on Rationality quotes: October 2010 - LessWrong
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That's not what the word means, neither definitionally nor extensionally. An atheist is merely someone who lacks a belief in deities. Their history as to not acquiring that belief is irrelevant to whether they are an atheist or not.
Someone who rationally considers the evidence (whether or not on the subject of deities) is a rationalist.
But rationality is not just about evidence. One needs to be reasonable about a priori beliefs as well, or more pragmatically/generally, possess effective reasoning skills.
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.