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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.
2
votes
What's special about the Simplex category?
Concerning your second question, indeed the realization functor from cubical sets to topological spaces does not preserve finite products. But it does by adding degeneracy maps called connection maps. …
28
votes
Small ideas that became big
I don't know if this post will answer your question but it's about the higher homotopy groups of topological spaces. The story is told here: https://ncatlab.org/nlab/show/homotopy+group.
In 1932, E. …