```Date: Jan 30, 2013 8:15 PM
Author: Virgil
Subject: Re: Matheology � 203

In article <8cb79e99-7c3a-4b4f-a835-312ac06e0ba2@h2g2000yqa.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:> On 30 Jan., 22:14, William Hughes <wpihug...@gmail.com> wrote:> > On Jan 30, 6:06 pm, WM <mueck...@rz.fh-augsburg.de> wrote:> >> >> >> >> >> > > On 30 Jan., 12:32, William Hughes <wpihug...@gmail.com> wrote:> >> > > > On Jan 30, 12:21 pm, WM <mueck...@rz.fh-augsburg.de> wrote:> >> > > > > On 30 Jan., 12:02, William Hughes <wpihug...@gmail.com> wrote:> >> > > > > > Summary.  We have agreed that> >> > > > > > For a potentially infinite list L, the> > > > > > antidiagonal of L is not a line of L.> >> > > > Do you agree with the statement> >> > > > For a potentially infinite list, L,> > > > of potentially infinite 0/1 sequences> > > > the antidiagonal of L is not a line> > > > of L> >> > > Yes, of course. We have a collection of which we can keep a general> > > overview. And in finite sets (potential infinity is nothing but finity> > > without an upper threshold) "for every" means the same as "for all".> > > There is no place to hide.> >> > So now we have> >> > For a potentially infinite list, L,> > of potentially infinite 0/1 sequences> > the antidiagonal of L is not a line> > of L> >> > Can a potentially infinite list, L,> > of potentially infinite 0/1 sequences> > have the property that every> > potentially infinite 0/1 sequence> > is a line of L?> > Potential infinity is the opposite of completeness like "infinite" is> the opposite of "finished". So *every* line number n would not imply> *all* possible line numbers of the set |N defined by AxInf.>  Thus in WM's world of WMytheology what holds for every member of a set need not hold for all members of that set, or is it the what holds for all members need not hold for every member,or is it both?--
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