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Topic: fom - 01 - preface
Replies: 18   Last Post: Dec 12, 2012 3:34 PM

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Shmuel (Seymour J.) Metz

Posts: 3,271
Registered: 12/4/04
Re: fom - 01 - preface
Posted: Dec 11, 2012 6:54 AM
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In <virgil-2FC1D7.13530210122012@BIGNEWS.USENETMONSTER.COM>, on
12/10/2012
at 01:53 PM, Virgil <virgil@ligriv.com> said:

>In order to define the product of a real number times a
>transfinite, the definition must hold for all reals and all
>transfinites.


There's a more fundamental problem; she/he/it is conflating cardinals,
ordinals and elements of various algebraic systems. The product
"2*omega" has nothing to do with integers, reals or cardinals, only
with ordinals. The fact that the integers imbed naturally into the
reals, cardinals and ordinals does not make them interchangeable.

--
Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>

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