The Math Forum

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Tanu R.

Posts: 640
Registered: 12/13/04
Re: Matheology § 288
Posted: Jun 21, 2013 8:58 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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. >>
> <>

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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.