Atheism uses circular reasoning .
...
Circular reasoning is paradoxical thinking,
https://answersingenesis.org/apologetics/circular-reasoning/
https://creationministry.org/circular-reasoning/
http://godorabsurdity.blogspot.com/2013/12/circular-reasoning.html
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Not a single one of your reference links supports "circular reasoning" as you have been (mis)using the term. In fact, none of them define it! The first just discusses the only valid form of circular reasoning. The second and third both support the definition I advanced. None of them define or even suggest that the meaning is "paradoxical thinking". Circular reasoning is not and has nothing to do with paradoxical thinking.
In a nutshell, circular reasoning is presenting an assertion and using that assertion to prove itself. Simple as that. It has nothing to do with 'arguments going round and round" and it is employed by Christians and non-Christians alike. Circular reasoning has no inherent spiritual attachment; it is neutral.
You have repeatedly presently your view on circular reasoning as though it has something to do with atheism. Your argument fails miserably because neither fallacies nor laws of logic are not atheistic in nature. Plus, I'm not an atheist! I'm a Christian who understands logic... I use the brain God gave me to think through arguments and find the flaws in them. If you actually read through the articles you cited, and checked the links, you would find Dr. Jason Lisle's
defense of the laws of logic. He's a Christian too, and credits God as the source of the laws of logic.
So, the next time someone introduces a term unfamiliar to you, find out what it
actually means instead of making up a definition for it and arguing from that basis.