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List all math jokes in order of length.
Assume there is a largest math joke, L.
Create a new math joke, J, by appending to L the joke about pirates.
J is now larger than L, which is a contradiction.
Therefor, the set of math jokes is infinite.
Now, assume a good math joke, M.
If M is a good joke, then it is funny.
If a joke is funny, then everyone will know it.
If everyone knows a joke, then the joke will not be funny.
If a joke is not funny, then it is not a good joke.
Therefor, if M is a good joke, M is not a good joke.
By contradiction, there are no good math jokes.
Therefor:
There are infinitely many math jokes and none of them are good.
