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by shkkmo 4010 days ago
Axioms are simply something that you accept as true to build a model. There is no 'simply true, end of story' or 'proven by logic' to axioms.

Many axioms maybe picked because they seem 'obviously true', (or more likely, because they are useful) but that doesn't make their truth simple or make them the result of logic. (For an example take a look at the existence of infinity).

Additionally, the 'axioms' he lists are all what I would generally consider tautologies. (Although you might argue that the first one is actually an axiom of bivalent logic systems).