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Answers
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8
Logic in mathematics and philosophy
11
The concept of Duality
4
Can infinity shorten proofs a lot?
5
How do you decide whether a question in abstract algebra is worth studying?
18
Direct proof of irrationality?
3
Problems where we can’t make a canonical choice, solved by looking at all choices at once
3
Arithmetic fixed point theorem
2
Analogies between analogies
5
Ubiquity of the push-pull formula
4
Failures that lead eventually to new mathematics
2
Applications of PDE in mathematical subjects other than geometry & topology
10
Essential reads in the philosophy of mathematics and set theory
2
Relation between Hecke Operator and Hecke Algebra
3
Is there a relationship between model theory and category theory?
6
What are some examples of interesting uses of the theory of combinatorial species?
5
Analogue to covering space for higher homotopy groups?
5
Co-induction understanding
10
ADE type Dynkin diagrams
4
Incidences of rigorous proofs used in legal proceedings
5
What can’t be described by categories?
4
categorification of logic
3
$\omega$-topos theory?
3
Formalizing “no junk, no confusion”
3
What is the “right” universal property of the completion of a metric space?
7
What is “rich structure”, actually?
3
How is tropicalization like taking the classical limit?
3
Tropical mathematics and enriched category theory
3
What is a monoidal metric space?
4
The ring of integers looks like the 3-dimensional sphere viewed as the Hopf fibration
7
Reference request: 2-Grothendieck Construction
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