263

Answers
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105
What are some examples of colorful language in serious mathematics papers? (2)
72
Proof that pi is transcendental that doesn’t use the infinitude of primes
66
explicit big linearly independent sets
55
Which mathematicians have influenced you the most?
52
What is the high-concept explanation on why real numbers are useful in number theory?
43
What’s a magical theorem in logic? (3)
43
How many orders of infinity are there?
32
“Transitivity” of the Stone-Cech compactification
28
What is the definition of “canonical” ?
26
Which spaces are inverse limits of discrete spaces ?
24
Inverse Ackermann - primitive recursive or not?
23
In what rigorous sense are Sperner’s Lemma and the Brouwer Fixed Point Theorem equivalent?
23
Reductio ad absurdum or the contrapositive?
23
Most ‘unintuitive’ application of the Axiom of Choice?
22
Using consistency to create new axioms in set theory
22
Propositional Logic, First-Order Logic, and Higher-Order Logics
22
Does Con(ZF) imply Con(ZF + Aut C = Z/2Z)?
21
What are some mathematical concepts that were (pretty much) created from scratch and do not owe a debt to previous work?
20
Recent claim that inaccessibles are inconsistent with ZF
20
Induction, the infinitude of the primes, and workaday number theory
19
Thinking and Explaining
19
Reasons to believe Vopenka’s principle/huge cardinals are consistent
19
Differentiability of computable functions
18
What can be proven in Peano arithmetic but not Heyting arithmetic?
17
Finite axiom of choice: how do you prove it from just ZF?
17
Is “all categorical reasoning formally contradictory”?
17
How many groups of size at most n are there? What is the asymptotic growth rate? And what of rings, fields, graphs, partial orders, etc.? (2)
17
Which topological spaces admit a nonstandard metric?
16
Definable collections without definable members (in ZF)
16
Applications of infinite Ramsey’s Theorem (on N)?
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