Re: Galileo's Paradox


On 11/29/2006 3:56 PM, Tony Orlow wrote:

Cardinality is generalized from the simple count of finite sets to the
infinite case. In the finite case, the cardinality of a set is exactly a
natural number, a quantity. In the infinite case, cardinality becomes
something more ephemeral,

Epheremal means shortlived. We have a saying: Lies live short.

but it still has its roots in the count of a set.

Let's rather say in Cantor's illusion of allegedly being able to count
the uncountable.


What about when there is more than one type of measure that can be
applied to a set, or none at all? What happens then?

Then perhaps a red light will indicate logical error.




.

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