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Topic: Matheology § 288
Replies: 15   Last Post: Jun 22, 2013 12:23 AM

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Posts: 1,968
Registered: 12/4/12
Re: Matheology § 288
Posted: Jun 22, 2013 12:03 AM
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On 6/21/2013 10:00 PM, Julio Di Egidio wrote:
> "fom" <fomJUNK@nyms.net> wrote in message
> news:X5CdnU5BCcfKQlnMnZ2dnUVZ_hadnZ2d@giganews.com...


>> I do not disagree that the naming of numbers
>> has a correspondence with the count of names.
>> But, because of Cantor's insights and investigations
>> of infinity, ordinality and cardinality are not
>> taken to be the same thing.

> I think that's beside the point. Anyway, those results do not
> (necessarily) hold in a non-standard setting.

Well, when Hilbert shifts from formal axiomatics
to finitistic proof theory, he begins with a
"strokes-as-numerals" intuition of natural number


He then goes on to make the general argument for
cardinalities based upon the symmetric groups.

What non-standard setting conflates ordinality
and cardinality?

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