Yet another weird SF fan


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Yet another weird SF fan
 

Wednesday, July 06, 2016

Anti-Inductive Phenomena and Baire Category

I've mentioned on occasion that markets are anti-inductive. There is a connection between anti-inductive phenomena and one of the more apparently-useless branches of mathematics: point-set topology.

You can think of real numbers as sequences of digits. It turns out that the set of real numbers corresponding to anti-inductive sequences is a dense Gδ point set, i.e., the complement of a set of first category.

Maybe someday we'll also find a use for the Banach–Tarski paradox.

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