```Date: Mar 12, 2013 6:44 AM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 222 Back to the roots

On 12 Mrz., 11:08, William Hughes <wpihug...@gmail.com> wrote:> On Mar 12, 10:19 am, WM <mueck...@rz.fh-augsburg.de> wrote:>> > On 12 Mrz., 00:51, William Hughes <wpihug...@gmail.com> wrote:>> <snip>>>>> > > There is a fixed column, C_1, which is coFIS to> > > |N.   There is no fixed line which is coFIS to |N>> > There is no |N in potential infinity.>> |N is the potentially infinite set of natural numbers.>The "potentially infinite set" is already a contradictio in adjecto,because the notion of set always requires completenes.> > There is a problem with the statement, of actual infinity, that all> > natural numbers are in the list but not in any single line.>> Note, in Wolkenmuekenheim> all natural numbers are in the list but not in any single> findable line.No, there are not *all* natural numbers in any healthy mathematicaltheory. Have you read hundreds of posts without learning that basicstuff?>> There is no difference between "actual" and potential> infinity as long as we restrict things to> findable quantities.If you are incapable of learning what potential infinity means, as itis suggested by your statements above, then your assertion isunderstandable but nevertheless wrong.Actual infinity requires that *all* natural numbers are in the listbut not in a single line. That is a contradiction. Since they are, infact, not in a single line (since there is no last findable line),only the other alternative can be wrong: The existence of all naturalnumbers.Regards, WM
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