Re: Epistemology 201: The Science of Science

From: robert j. kolker (nowhere_at_nowhere.net)
Date: 02/28/05 

Date: Mon, 28 Feb 2005 16:17:33 -0500

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

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