Re: Epistemology 201: The Science of Science

From: robert j. kolker (nowhere_at_nowhere.net)
Date: 03/27/05 

Date: Sun, 27 Mar 2005 11:24:39 -0500

> Bob, you don't seem to understand that the idea of cardinality exists
> prior to any and every set. That's my point. Modern mathematikers seem
> to think otherwise. They define cardinality in terms of sets having
> cardinality. That's bassackward. Cardinality is an ordered set, 1,2,3
> etc.

Agreed. Every set has a cardinality. But it was you who brought up the
red herring of order. The only thing necessary to define cardinality is
the concept of a one-one onto mapping.

Bob Kolker

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