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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.
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 …
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