Is mathematics (in its entirety)just an extension of logic ? 
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I’m not sure about that
@HerbertHitchens.. Gödel’s incompleteness theorem is a *theorem* that says every axiomatic deductive structure contains an infinite number of unprovable statements.. it doesn’t say that math isn’t a deductive axiomatic structure
Indeed, Gödel’s incompleteness theorem wouldn’t be much of a theorem (properly so called) if he “proved” that his very undertaking wasn’t a deduction from propositional logic axioms (quotations are for logical consistency)