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LudovicoVan
Posts:
4,033
From:
London
Registered:
2/8/08


Re: Matheology § 288
Posted:
Jun 21, 2013 8:44 AM


"Julio Di Egidio" <julio@diegidio.name> wrote in message news:kpunob$l93$1@dontemail.me... > "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. >>
<http://en.wikipedia.org/wiki/Ultrafinitism#Main_ideas>
Julio



