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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: 3,473
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
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

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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