Re: infinity

In article <MPG.1d753fd43e64407598a146@xxxxxxxxxxxxxxxxxxxxxxxxx> Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> writes:
....
> Those are good questions, but perhaps not answerable. I rather suspect that
> in some sense N should be considered prime, in which case I suppose it
> would have to be odd, but as you, or someone, pointed out, there are
> paradoxes associated with taking it to be either even or odd. What do
> YOU think? Is aleph_0 even or odd, and is it prime?

As aleph_0 is (in the cardinal numbers) not divisible by any natural number,
it could be considered prime. Whether it is odd or even depends on your
definition. If you define a number even whenever it is divisible by 2,
aleph_0 is odd.
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