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Results tagged with metamathematics
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user 503801
the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
6
votes
1
answer
216
views
Is the statement that every convex complete metric space has midpoints equivalent to the axi...
We say that a point $m$ is between points $p$ and $q$ of a metric space $(M, d)$ if $d(p, q) = d(p, m) + d(m, q)$ and $p ≠ m ≠ q$. Furthermore, if the equality $d(p, m) = d(m, q)$ holds for $m$, we sa …
- 307
11
votes
3
answers
755
views
Is every recursively axiomatizable and consistent theory interpretable in the true arithmeti...
I am looking for a scholarly text that discusses this issue in detail.
- 307
4
votes
0
answers
153
views
Are the relations of being homeomorphic or being homotopy equivalent on the compact polyhedr...
Let $ K(\mathbb{N}) $ denote the set of all finite simplicial complexes with vertices in $\mathbb{N}$.
Let $ f\colon \mathbb{N} \to K(\mathbb{N}) $ be a computable bijection.
Let $ R $ = { $ (m, n) $ …
- 307