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Jan 2, 2010 at 11:09 comment added Neel Krishnaswami Thanks! I think I didn't really understand what continuity did and didn't do until I understood why the approximate version didn't imply the full version, constructively. It's a little embarrassing to admit that I didn't get high-school mathematics, but only a little: high-school mathematics is some of the greatest mathematics (in Whitehead's sense) ever created.
Jan 1, 2010 at 18:42 comment added Paul Taylor This is known as the "approximate" intermediate value theorem.
Dec 15, 2009 at 16:59 history answered Neel Krishnaswami CC BY-SA 2.5