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

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Posts: 3,792
From: London
Registered: 2/8/08
Re: Matheology § 288
Posted: Jun 21, 2013 8:44 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

"Julio Di Egidio" <julio@diegidio.name> wrote in message
> "Alan Smaill" <smaill@SPAMinf.ed.ac.uk> wrote in message
> news:fwehagtm58s.fsf@eriboll.inf.ed.ac.uk...

>> "Julio Di Egidio" <julio@diegidio.name> writes:
>>> "fom" <fomJUNK@nyms.net> wrote in message
>>> news:C6KdnZCccIjltVzMnZ2dnUVZ_t6dnZ2d@giganews.com...

>>>> "Numbers count themselves"
>>> Indeed, how else?

>> What does pi count?
>> Isn't it a number?

> pi counts pi, of course...

<< 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. >>



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