```Date: Feb 1, 2013 4:37 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 203

On 1 Feb., 09:35, William Hughes <wpihug...@gmail.com> wrote:> On Feb 1, 9:21 am, WM <mueck...@rz.fh-augsburg.de> wrote:>>>>>> > On 31 Jan., 18:44, William Hughes <wpihug...@gmail.com> wrote:>> > > On Jan 31, 4:34 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > > On 31 Jan., 16:15, William Hughes <wpihug...@gmail.com> wrote:>> > > > > > Would you say that a line that is not in the list is in the list?>> > > > > Nope. But you did.>> > > > Yes, but for an actually infinite list.>> > > What actually infinite list?>> > > Specifically you said>> > > A potentially infinite list, L,> > > of potentially infinite 0/1 sequences> > > can have the property that every> > > (in the sense of "all from 1 to n")> > > potentially infinite 0/1 sequence> > > is a line of L?>> > > No actually infinite lists here>> > And what is your question please? Of course every line between line 1> > and line n is in the list.>> Let a potentially infinite list, L,> of potentially infinite 0/1 sequences> have the property that every> (in the sense of "all from 1 to n")> potentially infinite 0/1 sequence> is a line of L?A potentially infinite list does not contain every whatever in thesense of all. Because a list that in contains all whatevers is actualwith respect to these whatevers.But of course the list contains every sequence that is a line between1 and n (including the limits) and therefore contains all thesesequences.These two meanings have to be distuingusihed carefully. Example: Apotentially infinite set of natural numbers does not contain allnatural numbers. Otherwise it would be an actually infinite set, namel|N.Regards, WM
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