User Joel David Hamkins

393 votes

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

answered Nov 23, 2009 at 17:45

263 votes

What are the most misleading alternate definitions in taught mathematics?

answered Dec 6, 2009 at 3:25

241 votes

Accepted

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

answered Oct 29, 2010 at 13:15

174 votes

Accepted

Solutions to the Continuum Hypothesis

answered May 19, 2010 at 2:55

173 votes

Most 'unintuitive' application of the Axiom of Choice?

answered Jul 15, 2011 at 13:12

148 votes

Accepted

Nontrivial theorems with trivial proofs

answered Jun 20, 2010 at 1:25

144 votes

Accepted

Reductio ad absurdum or the contrapositive?

answered Jan 20, 2010 at 9:37

136 votes

Has philosophy ever clarified mathematics?

answered Oct 1, 2014 at 6:29

136 votes

Accepted

Why do we have two theorems when one implies the other?

answered Jul 11, 2021 at 19:17

134 votes

What is a chess piece mathematically?

answered Dec 7, 2017 at 13:35

126 votes

The most outrageous (or ridiculous) conjectures in mathematics

answered Jan 17, 2017 at 20:08

116 votes

Why worry about the axiom of choice?

answered Apr 29, 2010 at 3:37

115 votes

Examples of common false beliefs in mathematics

answered May 5, 2010 at 13:58

105 votes

Where to buy premium white chalk in the U.S., like they have at RIMS?

answered May 28, 2010 at 15:17

105 votes

Accepted

Have you solved problems in your sleep?

answered Apr 27, 2014 at 2:21

104 votes

Theorems with unexpected conclusions

answered Mar 13, 2010 at 21:51

98 votes

Accepted

Adapting arguments and plagiarism

answered Apr 25, 2016 at 21:23

95 votes

Examples of eventual counterexamples

answered Jun 15, 2010 at 3:21

94 votes

Mistakes in mathematics, false illusions about conjectures

answered Jun 3, 2014 at 12:45

88 votes

Examples of common false beliefs in mathematics

answered May 4, 2010 at 21:12

86 votes

Has incorrect notation ever led to a mistaken proof?

answered Aug 9, 2018 at 18:01

82 votes

Value of "of course" in the mathematical literature

answered Feb 23, 2010 at 21:47

80 votes

Which mathematical ideas have done most to change history?

answered Feb 1, 2010 at 15:06

80 votes

Accepted

Will this Turing machine find a proof of its halting?

answered Aug 4, 2022 at 0:37

79 votes

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

answered Nov 23, 2009 at 17:56

74 votes

Accepted

What's wrong with the surreals?

answered Jun 24, 2010 at 3:40

73 votes

Jokes in the sense of Littlewood: examples?

answered Sep 16, 2010 at 12:51

72 votes

Can a problem be simultaneously polynomial time and undecidable?

answered Dec 2, 2010 at 11:00

72 votes

Nontrivial theorems with trivial proofs

answered Jun 20, 2010 at 1:16

70 votes

Accepted

A remark of Connes on non-standard analysis

answered Mar 2, 2011 at 11:51

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1,913 Answers

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

What are the most misleading alternate definitions in taught mathematics?

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

Solutions to the Continuum Hypothesis

Most 'unintuitive' application of the Axiom of Choice?

Nontrivial theorems with trivial proofs

Reductio ad absurdum or the contrapositive?

Has philosophy ever clarified mathematics?

Why do we have two theorems when one implies the other?

What is a chess piece mathematically?

The most outrageous (or ridiculous) conjectures in mathematics

Why worry about the axiom of choice?

Examples of common false beliefs in mathematics

Where to buy premium white chalk in the U.S., like they have at RIMS?

Have you solved problems in your sleep?

Theorems with unexpected conclusions

Adapting arguments and plagiarism

Examples of eventual counterexamples

Mistakes in mathematics, false illusions about conjectures

Examples of common false beliefs in mathematics

Has incorrect notation ever led to a mistaken proof?

Value of "of course" in the mathematical literature

Which mathematical ideas have done most to change history?

Will this Turing machine find a proof of its halting?

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

What's wrong with the surreals?

Jokes in the sense of Littlewood: examples?

Can a problem be simultaneously polynomial time and undecidable?

Nontrivial theorems with trivial proofs

A remark of Connes on non-standard analysis