21

Answers
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9
What are some examples of ingenious, unexpected constructions?
-2
Set theories without “junk” theorems?
1
A result of Shelah about the nonstationary ideal
2
Why are some axioms preserved in generic extensions?
1
The set-theoretic multiverse as a (bi)category
4
Are there examples of statements that have been proven whose consistency proofs came before their proofs?
1
M.A.D family question
5
Intended interpretations of set theories
2
If a result is apparently provable with AC, is actually independent of ZF?
29
A Book You Would Like to Write
17
Awfully sophisticated proof for simple facts
2
An ordinal invariant for spaces based on a hierarchy of closed sets from z-sets
1
Why is it OK to rely on the Fundamental Theorem of Arithmetic when using Gödel numbering?
0
What is your favorite proof of Tychonoff’s Theorem?
3
Which mathematicians have influenced you the most?
5
Examples of non-metrizable spaces
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Most intricate and most beautiful structures in mathematics
3
Topological Rings
1
Distinct well-orderings of the same set
4
Proving theorems by using functions with fixed points.
6
What are some reasonable-sounding statements that are independent of ZFC?