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I've read geometric/mathematical proofs that have convinced me immediately. Just seeing the logical steps flow from step to step was enough to prove the assertion was true.


I consider this as an object of argument as well, however, axioms seem to be the underlying structure of repetition for all proofs [as far as I understand mathematics].


What do you mean "structure of repetition"?

Premises which are already accepted are used to conclude further ones.




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