```Date: Feb 18, 2013 4:21 PM
Author: Virgil
Subject: Re: WMytheology � 222 Rejects Induction

In article <386d5767-1eb5-4910-811f-8daf7aef60d3@g16g2000vbf.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:> On 18 Feb., 14:11, William Hughes <wpihug...@gmail.com> wrote:> > On Feb 18, 1:38 pm, WM <mueck...@rz.fh-augsburg.de> wrote:> >> > > On 18 Feb., 11:53, William Hughes <wpihug...@gmail.com> wrote:> >> > > > Is there a potentially infinite sequence,> > > > x, such that the nth FIS of x consists of> > > > n 1's> >> > > Yes, of course> >> > Let y be a potentially infinite process> > There are no processes with respect to numbers and lists. They are> existing or are not existing.Then ther is no such thing a potentially infinite, as that would require existence of a process that does not end.> Potential infinity with respect to natural numbers means: You can> consider every natural number you like. There is no upper threshold.> So name any set of natural numbers - except using naive and> couterfactual "all" of some kind like "all prime numbers" or all "even> numbers".So for any set of naturals you can name, there is a process for finding a superset of that set, even in Wolkenmuekenheim.If one cannot ever have something true for ALL natural numbers, how can one ever use inductive proofs?> Now realize what potential infinity means: There are no processes in> above list. It also means that induction can never conclude that anything is true for all natural numbers. In Wolkenmuekenheim  one cannot say    "For all n, if n is a natural then n+1 is a natural."because on cannot ever say "For all n"> We simply write some lines and stop at some point.Thus WM can never prove that anything by induction.--
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