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Results tagged with mathematical-philosophy
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user 120914
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.
13
votes
Comparative analysis of history of mathematics
An excellent and very recent comparative analysis (which addresses your first two bullet points) on the development of infinitesimal calculus has been done by Jacques Bair, Alexandre Borovik, Vladimir …
25
votes
Why is integer factoring hard while determining whether an integer is prime easy?
Let me give a slightly different example. The Baumslag-Gersten group is a one-relator group with the presentation $\langle a, b \mid [a, a^b] = a\rangle$. This has a Dehn function which grows faster t …