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circular reasoning

circular argument
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Mathematics Subject Classification

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I thought it would be a good idea to put an example of circular reasoning in the article; however, I would greatly appreciate it if people have ``simpler'' examples. The one that I provide was the first one that I could come up with. I think it's pretty simple, but it may not be so to someone with little or no exposure to group theory. As always, feel free to attach examples to this entry if you would like, but, in this particular case, I highly encourage it. If someone attaches an example that I particularly like, I may remove the example that I provide from the entry.


Known in Lat. as {\em petitio principii}. Tautologies use a circular reasoning within an argument or enunciate. For example, the entry ``circular reasoning'' by Wkbj79 expresses a logic tautology because we are using in the reasoning the self-evident $g*g^{-1}=e_G$.

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