User Todd Trimble

146 votes

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Why is differentiating mechanics and integration art?

answered May 29, 2011 at 17:30

117 votes

What's a mathematician to do?

answered Oct 26, 2010 at 19:41

85 votes

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"Mathematics talk" for five year olds

answered Oct 1, 2012 at 23:06

65 votes

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Duality between compactness and Hausdorffness

answered Nov 3, 2015 at 12:43

63 votes

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Why do categorical foundationalists want to escape set theory?

answered May 15, 2010 at 17:20

56 votes

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Do these properties characterize differentiation?

answered Nov 4, 2010 at 3:34

55 votes

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How should one think about non-Hausdorff topologies?

answered Oct 29, 2010 at 14:11

53 votes

Why is differentiating mechanics and integration art?

answered May 30, 2011 at 20:20

46 votes

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Intuition for coends

answered Oct 18, 2011 at 20:18

46 votes

Elementary + short + useful

answered Apr 3, 2011 at 21:46

44 votes

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Completion of a category

answered Mar 23, 2011 at 13:03

43 votes

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Fundamental groups of topological groups.

answered Oct 21, 2010 at 12:46

43 votes

Is a vector space naturally isomorphic to its dual?

answered Nov 3, 2019 at 13:40

40 votes

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Is $π$ definable in $(\Bbb R,0,1,+,×,<,\exp)$?

answered Jul 14, 2013 at 2:55

40 votes

Examples of categorification

answered Oct 25, 2010 at 22:07

39 votes

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"A gentleman never chooses a basis."

answered Oct 16, 2009 at 6:40

34 votes

Conway's lesser-known results

answered Apr 12, 2020 at 2:38

34 votes

Is amateur research in mathematics viable?

answered May 10, 2022 at 13:48

33 votes

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Dimension of infinite product of vector spaces

answered Dec 15, 2010 at 22:12

32 votes

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Lawvere theories versus classical universal algebra

answered Jun 29, 2011 at 6:24

32 votes

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Grothendieck's Homotopy Hypothesis - Applications and Generalizations

answered Jun 13, 2014 at 14:32

30 votes

Examples of common false beliefs in mathematics

answered Nov 29, 2014 at 14:18

30 votes

Why did Bourbaki's Élements omit the theory of categories?

answered May 24, 2013 at 15:52

29 votes

An example of a proof that is explanatory but not beautiful? (or vice versa)

answered Jul 24, 2013 at 10:36

29 votes

Is a come back to mathematical research possible?

answered Apr 25, 2022 at 0:13

28 votes

How would set theory research be affected by using ETCS instead of ZFC?

answered Dec 18, 2012 at 14:53

28 votes

Inverse Image as the left adjoint to pushforward

answered Apr 14, 2011 at 4:32

28 votes

Dimensional Analysis in Mathematics

answered May 3, 2011 at 2:07

27 votes

What are your favorite concrete examples of limits or colimits that you would compute during lunch?

answered Jan 17, 2014 at 16:07

26 votes

Is the non-triviality of the algebraic dual of an infinite-dimensional vector space equivalent to the axiom of choice?

answered Dec 14, 2010 at 16:51

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561 Answers

Why is differentiating mechanics and integration art?

What's a mathematician to do?

"Mathematics talk" for five year olds

Duality between compactness and Hausdorffness

Why do categorical foundationalists want to escape set theory?

Do these properties characterize differentiation?

How should one think about non-Hausdorff topologies?

Why is differentiating mechanics and integration art?

Intuition for coends

Elementary + short + useful

Completion of a category

Fundamental groups of topological groups.

Is a vector space naturally isomorphic to its dual?

Is $π$ definable in $(\Bbb R,0,1,+,×,<,\exp)$?

Examples of categorification

"A gentleman never chooses a basis."

Conway's lesser-known results

Is amateur research in mathematics viable?

Dimension of infinite product of vector spaces

Lawvere theories versus classical universal algebra

Grothendieck's Homotopy Hypothesis - Applications and Generalizations

Examples of common false beliefs in mathematics

Why did Bourbaki's Élements omit the theory of categories?

An example of a proof that is explanatory but not beautiful? (or vice versa)

Is a come back to mathematical research possible?

How would set theory research be affected by using ETCS instead of ZFC?

Inverse Image as the left adjoint to pushforward

Dimensional Analysis in Mathematics

What are your favorite concrete examples of limits or colimits that you would compute during lunch?

Is the non-triviality of the algebraic dual of an infinite-dimensional vector space equivalent to the axiom of choice?