```Date: Jan 30, 2013 4:24 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 203

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" isthe opposite of "finished". So *every* line number n would not imply*all* possible line numbers of the set |N defined by AxInf.Regards, WM
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