Re: Is zero even or odd?
From: Nicholas O. Lindan (see_at_sig.com)
Date: 12/23/04
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Date: Thu, 23 Dec 2004 19:48:08 GMT
"Dave Seaman" <dseaman@no.such.host> wrote
> On Thu, 23 Dec 2004 12:22:02 -0500, John W. Kennedy wrote:
> > Aleph-1 is at least aleph-null^aleph-null.
>
> No, it's the other way around. Since aleph_1 is by definition the
> smallest uncountable cardinal, and since the reals are uncountable, it
> follows that c (= 2^aleph_0 = aleph_0^aleph_0), the cardinality of the
> continuum, cannot be less than aleph_1. On the other hand, it could be
> that c is quite huge among the alephs.
I'm lost.
-- Nicholas O. Lindan, Cleveland, Ohio Consulting Engineer: Electronics; Informatics; Photonics. Remove spaces etc. to reply: n o lindan at net com dot com psst.. want to buy an f-stop timer? nolindan.com/da/fstop/
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