Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic:
Matheology § 288
Replies:
15
Last Post:
Jun 22, 2013 12:23 AM



Tanu R.
Posts:
640
Registered:
12/13/04


Re: Matheology § 288
Posted:
Jun 21, 2013 8:58 AM


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.



