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Re: Infinity: The Story So Far
Posted:
Mar 6, 2014 7:40 AM
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Virgil wrote: > In article <lf83m8$tqh$1@news.albasani.net>, > Peter Percival <peterxpercival@hotmail.com> wrote: > >> Virgil wrote: >>> In article <4cfd9bb3-5708-4ed7-9285-e2735a4fcd85@googlegroups.com>, >>> mueckenh@rz.fh-augsburg.de wrote: >>> >>>> But he claimes that the Peano-axioms supply the natural numbers of formal >>>> mathematics. So the natural numbers of formal mathematics are: >>>> 1, -10, 100, -1000, ... >>> >>> Only in wierd places like WM's wild weird world of WMytheology. >>> Elsewhere, the successor operation is denoted by adding one. >> >> I don't think that is correct. > > > In abstract induction it need not be, but in the standard set of > naturals, which is what WM is arguing about, it most assuredly is.
But what are the naturals defined to be? If it's "things satisfying Peano's axioms" then 1, -10, 100, -1000, ... (with the appropriate S) do the job.
-- Madam Life's a piece in bloom, Death goes dogging everywhere: She's the tenant of the room, He's the ruffian on the stair.
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