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

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LudovicoVan

Posts: 3,201
From: London
Registered: 2/8/08
Re: Matheology § 288
Posted: Jun 21, 2013 9:23 AM
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"Sam Sung" <no@mail.invalid> wrote in message
news:kq1ica$juk$1@dont-email.me...
> Julio Di Egidio wrote:
>

>> << Edward Nelson criticizes the classical conception of natural numbers
>> because of the circularity of its definition. In classical mathematics
>> the
>> natural numbers are defined as 0 and numbers obtained by the iterative
>> applications of the successor function to 0. But the concept of natural
>> number is already assumed for the iteration. >>
>>
>> <http://en.wikipedia.org/wiki/Ultrafinitism#Main_ideas>

>
> So what?


You have snipped the context.

> Take any (uniquely operated) iteration and count the
> steps by whichever method you like - the result is isomorphic
> to N in whichever 'theory'.


No, confront strict finitism.

Julio





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