Virgil
Posts:
8,833
Registered:
1/6/11
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Re: Matheology § 285
Posted:
Jun 13, 2013 8:08 PM
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In article <a69439f6-2dd9-4b38-a232-8b5ec5edbafb@googlegroups.com>, mueckenh@rz.fh-augsburg.de wrote:
> On Wednesday, 12 June 2013 23:53:21 UTC+2, Zeit Geist wrote: > > On Wednesday, June 12, 2013 12:48:08 PM UTC-7, muec...@rz.fh-augsburg.de > > wrote: > > > > > > My proof does not concern "the set of all natural numbers" whatever you > > > may understand by and expect from that phrase. My proof concerns "all > > > natural numbers" and "all rational numbers" without any exception. > > > > > > > > > > > > > > > > > > > > If your "sets" are different or more, then I am not interested in such > > > matheological notions of magic power. > > > > > > > > > > > > > > > > > You are the one putting in "more" assumptions and restriction. > > No. I consider only all rationals which should be possible if they all "are > there", ... well somewhere. In WM's world of Wolkenmuekenheim, all sets are finite, so all ordered sets are already well-ordered including his finite set of rationals, and his arguments apply only to finite ordered sets which are already known to be well-ordered.
Once actually infinite sets are allowed, his argument fails because it never deals with any actually infinite sets or any actually infinite processes. --
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