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I have been trying to get into the mindset of atheism and have an honest question. I hear many atheists claim that the laws of logic are self-evident and axiomatic and cannot be proven. I believe this to be true. However, I believe they are a reflection of God's nature and are eternal.

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Delete the bit in bold from the above quote and you'll get the basic atheist perspective (i.e. nature is fundamentally logical).

Consider for a moment what it would mean if nature wasn't logical. For a start it would mean something could be true and false at the same time. The implications of this are staggering for literally everything.

Therefore, at a minimum, the rules of logic are a practical necessity. Whether they can be proven or not is irrelvant since we need them to be true if we are to function. If they are false, all are efforts to understand anything are doomed to fail.