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Dec 22, 2012 at 13:53 comment added user22882 "Condensation of Singularities" was invented by Hermann Hankel. Basically it is the following: You have a function $f$ that has a singularity at 0. Make a periodic function $g$ from it that has this singularity at every integer. Then form the sum $G(x) = \sum_{n=0}^\infty a_n g(n x)$, with the $a_n$ chosen such that the sum converges. Then $G$ has this singluarity at every rational point. This can be done with mny types of singularities, provided that they are well-behaved enough under addition.
Dec 20, 2012 at 0:21 history made wiki Post Made Community Wiki by S. Carnahan
Dec 19, 2012 at 14:15 comment added Gerald Edgar There are things that were believed, until later disproved. And even things with proofs later found to be faulty. But these are not things stated as axioms, which is what the OP curiously asks for.
Dec 19, 2012 at 11:17 history edited Leonard CC BY-SA 3.0
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Dec 19, 2012 at 5:33 history answered Leonard CC BY-SA 3.0