Logic in an atheistic worldview

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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. How does the atheist account for the acceptance and validity of the laws of logic? Is it blind faith? Thanks in advance.

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The only reasonable way to prove anything is through reason so obviously trying to prove the basic logic fundamentals through reason would beg the question. Luckily, we dont need to prove them because they are obviously true.

Lets looks specifically at a couple rules, one mathematical and one logical.

A) 2+2 = 4,

I know this true because I understand the meanings of its parts. I can visualize 2 apples added onto 2 apples and realize this is the same as visualizing 4 apples. God is not part of my mental confirmation of its truth. I dont need to consider how God is or might be. It would be true in worlds with no God, or in a world where some God willed 2+2 to equal 13.

B) P or Q, not P, hence Q
This rule of logic is called disjunctive syllogism. Again this is obviously true. If you assume the two premises then the truth of Q should be obvious to you. Small children, retards, even dogs can do this logic. When using this basic inference you can never go from truth to falsity.

Its not blind faith. These truths can be scientifically demonstrated to work in the real world. If the mathematical and logical rules didnt hold then the computer you are sitting at wouldn't work.