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Results tagged with mathematical-philosophy
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user 1384
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.
49
votes
Are there mistakes in the proof of FLT?
No there are not any mistakes in these papers of any interest. In the 1990s there were a bazillion study groups and seminars across the world devoted to these papers; I personally read all three of th …
- 41.4k
9
votes
The meaning and purpose of "canonical''
I believe that there is no definition of canonical which covers all of its uses in mathematics. Heuristic evidence for this is that the definition of a canonical map in Wikipedia is vague.
The word a …
- 41.4k
21
votes
Accepted
Can you prove equivalence without being able to calculate it?
If you assume the axiom of choice, then every vector space has a basis, all bases of a given vector space have the same cardinality, and two vector spaces are isomorphic iff they have bases of the sam …