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I don't follow what you're taking issue with. Naturally by "mathematical truths" I meant axioms and statements that are reducible to axioms - there isn't really

I don't follow what you're taking issue with. Naturally by "mathematical truths" I meant axioms and statements that are reducible to axioms - there isn't really anything else for it to mean, after all. On the "sometimes published theorems are wrong" part you've lost me entirely.

MaxBarraclough 6y ago
> by "mathematical truths" I meant axioms and statements that are reducible to axioms That distinction is important, and it seemed to me you'd skimmed over it. Axioms are directly defined to be true for the purposes of mathematical inquiry, and as such can't really be wrong. At worst, a set of axioms can be inconsistent. Emergent properties are different; they're not directly defined to be true. This is of practical consequence, as mathematicians sometimes get them wrong.