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Results tagged with metamathematics
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user 2926
the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
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Embedding Theorem for topological spaces, and in general
Every $T_0$ space is, in a canonical way, a subspace of an algebraic lattice equipped with its Scott topology. Some details can be found in this nLab article.
I'm not quite sure what to do with the …
- 53.3k
25
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Don't the axioms of set theory implicitly assume numbers?
It seems that Deniz is raising a slightly uncomfortable question of whether some circularity is built into mathematical foundations. A similar common-sense circularity is what might be called the "par …
- 53.3k