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

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Tanu R.

Posts: 544
Registered: 12/13/04
Re: Matheology § 288
Posted: Jun 21, 2013 8:58 AM
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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? Take any (uniquely operated) iteration and count the
steps by whichever method you like - the result is isomorphic
to N in whichever 'theory'. Some folks who 'feel incomfortable',
like the asshole idiot WM, when one defines a limit to that
sort of operation, thus are unable to comprehend that abstraction,
might go see a doctor or invent alternative theories - anyway,
whoever drivels about something like 'physical existence' of
numbers is just a plain idiot, hopefully a kind one.



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