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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.

10 votes

Is there any formal foundation to ultrafinitism?

I've always thought that assuming a formalist position (i.e., mathematics is merely the manipulation of symbols) easily allows for an ultrafinitist position. The formalist may easily grant that $b=10 …
AndrewLMarshall's user avatar