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How to use the Cauchy-Schwarz inequality
How to use fixed point theorems
How to use the mean value theorem
If you are building a mathematical object in stages and find that (i) you have not finished even after infinitely many stages, and (ii) there seems to be nothing to stop you continuing to build, then Zorn's lemma may well be able to help you.
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Apostrophe
Sun, 19/04/2009 - 09:22 — JungleJust a note: there seems to be problems with apostrophes. In particular, the `How to use Zorn's lemma' article exists but is listed here as nonexistent.
Actually the problem was that
Sun, 19/04/2009 - 10:54 — gowersActually the problem was that I'd put a full stop inside the link. I've been discovering quite a few dead-looking links to articles that do in fact exist, and often clicking on the link actually works. It's very helpful to have these pointed out, or just quietly corrected.