[FOM] WHY DO SET THEORISTS DISLIKE CHRIS FREILING'S
Arnon Avron
aa at tau.ac.il
Thu Sep 2 01:23:27 EDT 2004
If you throw a dart at the unit interval, the probability
that it will be in the rational is 0. Still, the set of rational
numbers is not empty. Even the probability that it will be
the (uncountable) Cantor's set is 0 - and this set is not empty either.
So (without being a specialist in Set Theory), Freiling's "intuitive argument"
simply fails to convince me. I dont think that probability theory has
any relevance here.
Arnon Avron
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