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Results tagged with mathematical-philosophy
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user 750
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.
8
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Proper classes and their consequences
(Answer for 2.) One reason most mathematicians can avoid the theory of proper classes is through the use of Grothendieck universes. In brief, one chooses a strongly inaccessible cardinal $\kappa$, wh …
- 13k
110
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11
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Why do Groups and Abelian Groups feel so different?
Groups are naturally "the symmetries of an object". To me, the group axioms are just a way of codifying what the symmetries of an object can be so we can study it abstractly.
However, this heuristic …
- 13k