821

Answers

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90

Examples of common false beliefs in mathematics. (2)

24

What are some examples of colorful language in serious mathematics papers?

29

Awfully sophisticated proof for simple facts

80

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

95

What are the most misleading alternate definitions in taught mathematics?

68

Which mathematical ideas have done most to change history?

41

Jokes in the sense of Littlewood: examples?

92

What are the most attractive Turing undecidable problems in mathematics? (3)

20

What is your favorite “strange” function?

46

Why worry about the axiom of choice?

11

Counterexamples in Algebra?

7

solving f(f(x))=g(x)

32

The phenomena of eventual counterexamples

5

Suggestions for good notation

31

Knuth’s intuition that Goldbach might be unprovable

15

A Book You Would Like to Write

1

What is a satisfactory way to format definitions in Latex?

11

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

18

Examples of interesting false proofs

174

What are some reasonable-sounding statements that are independent of ZFC? (4)

15

How many orders of infinity are there?

72

Theorems with unexpected conclusions

8

How hard is it to get tenure in mathematics?

6

Interesting applications of the Pigeon-hole Principle

57

Solutions to the Continuum Hypothesis

8

f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.

56

Most ‘unintuitive’ application of the Axiom of Choice?

13

What are good non-English languages for mathematicians to know?

56

nontrivial theorems with trivial proofs (2)

29

What are the most elegant proofs that you have learned from MO?