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Re: Countably Infinite Sets
Posted:
Dec 28, 2012 10:53 AM
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In <virgil-B725AA.22411127122012@BIGNEWS.USENETMONSTER.COM>, on
12/27/2012
at 10:41 PM, Virgil <virgil@ligriv.com> said:
>In article
><22a702ac-b0b4-4c5e-b4f3-7d094499f431@r13g2000vbd.googlegroups.com>,
> netzweltler <reinhard_fischer@arcor.de> wrote:
>> Does the set {{1}, {1,2}, {1,2,3}, ...} contain all natural numbers?
>Uunless one's naturals are sets of numerals rather than numerals, or
>sets of sets, as is more usual, it does not contain any of them.
Well, I'm used to seeing the finite ordinals as the model for the
natural numbers; for that it would be {0, {0}, {0,1}, {0,1,2},
{0,1,2,3}, ...}.
--
Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
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