Logic in an atheistic worldview

[Piers]

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laws of logic are self-evident

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I would say that they are a useful tool.

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axiomatic and cannot be proven

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Axioms are always provable by definition. Your getting your levels confused.

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How does the atheist account for the acceptance and validity of the laws of logic?

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Models that are based on logic are typically more applicable to real world situations than ones that are not.

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Is it blind faith

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Its pragmatism. Just a case of using what has been shown to work.