Re: Epistemology 201: The Science of Science

From: aeo6 (aeo6_at_cornell.edu)
Date: 03/01/05


Date: Tue, 1 Mar 2005 12:48:00 -0500

robert j. kolker said:
>
>
> Tony Orlow (aeo6) wrote:
>
> >
> > I brought up the proper subset argument, since it really drives the
> > point home. I would argue that [0,1] is smaller than [7,9],
>
> The sets are equi-numerous, i.e. they have the same cardinality. The
> sets have a different -measure-, in this case length. The first is
> length 1.0, the second length 2.0.
>
> Let us be precise in what you mean by smaller. Smaller cardinality or
> smaller measure. The two are not the the same.
>
> Bob Kolker
>
>
Well, I think it has become obvious by now that I am not talking about
cardinality.

-- 
Smiles,
Tony


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