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Philosophical aspects of logic and set theory; truth status of mathematical axioms; Philosophy of Mathematics; philosophical aspects of mathematics in general; relation of mathematics to philosophy; etc. Consider also posting at http://philosophy.stackexchange.com/, where philosophy-of-mathematics is one of the most popular tags.
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Alternative axiom to induction
I think that PA without the induction axiom schemata is equivalent to Robinson Arithmetic, often called Q. This was isolated in the 1950s as an example of an incomplete theory of arithmetic, which is …