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Dec 4, 2017 at 13:33 comment added LSpice The problem I've encountered is that the roles switch once you use continuity rather than proving it: for a function that is assumed continuous, the "for all" player is me, and the "there exists" player is an oracle who supplies the crucial ingredient in my proof.
Jul 17, 2017 at 17:51 comment added Pablo Lessa I've used this in a Calculus classroom. It seems to be very illuminating to some students, and mean almost nothing to others. All in all, I think it helps enough students that it's worth the time it takes to explain and work out a few examples.
Jul 16, 2017 at 22:22 history answered Aryeh Kontorovich CC BY-SA 3.0