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May 17, 2010 at 4:45 comment added Robby McKilliam @Sune: Fantastic! Now I can't even trust my own sense of `nice'.
May 16, 2010 at 19:33 history made wiki Post Made Community Wiki by Kim Morrison
May 16, 2010 at 10:36 comment added Sune Jakobsen Robby: "I can't actually construct a situation where it doesn't seem somehow nicer to add "Now" or "Then" or "Consider when" or something similar" I think one reason for this is, that many mathematicians often insert a "Now" to avoid beginning a sentence with a symbol, so you are used to this kind of constructions. If you asked a non-mathematician, I think he might prefer a construction that began with a symbol. I agree that you shouldn't begin a sentence with a symbol, but I don't think that these constructions are "nicer" English.
May 16, 2010 at 8:14 comment added Torsten Ekedahl For me at least it started out that I learnt that it was a bad idea to end a sentence and start the next one by formulas. This makes a lot of sense and should be followed. However, once I started doing that my sense of esthetics changed and I ended up disliking sentences that start with a formula. I don't really see any rational justification for this more strict rule but I can live with it as it seems easier to apply reflexively than the rule that really does make sense.
May 16, 2010 at 6:48 comment added Harry Gindi @Vectornaut: If you're giving the conditions in an ordered list, I think that it's fine to put the symbol at the beginning of the sentence because it's clearly set off from the prose.
May 16, 2010 at 3:15 comment added Robby McKilliam @Vectornaut: Great, now I am totally confused :) I am going to undelete my answer. Gowers had convinced me that it was wrong, but now I really am not sure. If people don't like the answer they should mark it down so that it can at least inform people of what not to do!
May 16, 2010 at 2:50 comment added Victor Protsak @Vectornaut: excellent illustration of exception proofs (sic!) the rule
May 16, 2010 at 1:52 comment added Vectornaut The best examples I've found occur when you have a list of conditions. For example, "Theorem 1. The function f has property X if and only if one of the following is true: (1) f is surjective. (2) f is open. (3) f is bounded."
May 15, 2010 at 23:17 comment added KConrad Examples can be found if you think about statements of theorems. Someone not used to avoiding symbols at the start of a sentence may be inclined to write an equation as the theorem (with quantifiers following rather than preceding it). For example, Mike Rosen told me that he doesn't have a concern about starting a sentence with a symbol and if you look at Ireland & Rosen's "A Classical Introduction to Modern Number Theory" (2nd ed.) you'll see Theorem 3 on p. 212 (or, for that matter, most of the lemmas which precede that theorem) illustrates the possibilities.
May 15, 2010 at 23:01 comment added Robby McKilliam I think I agree. I can't actually construct a situation where it doesn't seem somehow nicer to add "Now" or "Then" or "Consider when" or something similar.
May 15, 2010 at 22:54 history answered gowers CC BY-SA 2.5