Maybe this is a dumb question. I'm a bit tired right now.(adsbygoogle = window.adsbygoogle || []).push({});

What is a "theory" in mathematics, and what kind of statements can we call "axioms"?

To be more specific, is "group theory" a mathematical theory, and if yes, what are its axioms? Should I think of the definition of "group" as anaxiomof the theory, or as "just a definition"?

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# Mathematical theories and axioms

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