Re: Epistemology 201: The Science of Science
From: aeo6 (aeo6_at_cornell.edu)
Date: 02/23/05
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Date: Wed, 23 Feb 2005 10:11:08 -0500
robert j. kolker said:
>
>
> Tony Orlow (aeo6) wrote:
>
> >
> > Someone mentioned measure theory in passing without elaborating, and it
> > didn't sound like it applied to infinite sets anyway. It sounded like
> > yet another distraction. If this kind of finer picture of infinite sets
> > has been developed, then talk about it. If measure theory has nothing to
> > do with infinite sets then don't talk about it. Does it or not?
>
> A set with a finite number of point will have zero measure. Sets with
> non zero measure have an infinite number of points.
>
> Bob Kolker
>
According to measure theory, which I looked up briefly but could find
nothing pertinent to the discussion, what are the relative measures of
the sets of integers and odds, or of rationals and integers? Thanks for
your help.
-- Smiles, Tony
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