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goblin GONE
  • Member for 9 years, 9 months
  • Last seen more than 1 year ago
979 votes
281 answers
310k views

Examples of common false beliefs in mathematics

  • 27.6k
271 votes
34 answers
43k views

What are some reasonable-sounding statements that are independent of ZFC?

215 votes
140 answers
46k views

Fundamental Examples

  • 23.5k
213 votes
15 answers
55k views

Why worry about the axiom of choice?

  • 27.2k
212 votes
67 answers
41k views

Proofs that require fundamentally new ways of thinking

  • 27.6k
201 votes
8 answers
28k views

How to memorise (understand) Nakayama's lemma and its corollaries?

  • 13.2k
189 votes
88 answers
47k views

Examples of great mathematical writing

184 votes
79 answers
39k views

Which math paper maximizes the ratio (importance)/(length)?

  • 12.1k
182 votes
79 answers
29k views

Suggestions for good notation

176 votes
19 answers
32k views

How do I make the conceptual transition from multivariable calculus to differential forms?

148 votes
11 answers
21k views

Why is the Gamma function shifted from the factorial by 1?

  • 2,727
137 votes
14 answers
42k views

Why study Lie algebras?

119 votes
35 answers
16k views

Rediscovery of lost mathematics

118 votes
4 answers
27k views

Slick proof?: A vector space has the same dimension as its dual if and only if it is finite dimensional

  • 18.8k
116 votes
12 answers
25k views

How to solve $f(f(x)) = \cos(x)$?

  • 1,491
109 votes
6 answers
8k views

What properties make $[0,1]$ a good candidate for defining fundamental groups?

109 votes
4 answers
30k views

Is the analysis as taught in universities in fact the analysis of definable numbers?

  • 8,394
105 votes
4 answers
11k views

Is there a sheaf theoretical characterization of a differentiable manifold?

96 votes
13 answers
32k views

How misleading is it to regard $\frac{dy}{dx}$ as a fraction?

  • 6,921
94 votes
78 answers
16k views

Elementary+Short+Useful

85 votes
10 answers
15k views

How do I check if a functor has a (left/right) adjoint?

78 votes
4 answers
6k views

Is there an accepted definition of $(\infty,\infty)$ category?

78 votes
30 answers
64k views

Applications of the Chinese remainder theorem

  • 121
73 votes
12 answers
10k views

Why aren't representations of monoids studied so much?

  • 2,192
72 votes
6 answers
11k views

Still Difficult After All These Years

  • 6,339
70 votes
7 answers
15k views

What is an intuitive view of adjoints? (version 1: category theory)

70 votes
13 answers
5k views

Why is Set, and not Rel, so ubiquitous in mathematics?

  • 21.6k
67 votes
15 answers
17k views

Is there a nice application of category theory to functional/complex/harmonic analysis?

  • 11
66 votes
39 answers
8k views

Results true in a dimension and false for higher dimensions

64 votes
1 answer
10k views

Why is the Eisenstein ideal paper so great?

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