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Topic: Matheology § 291
Replies: 28   Last Post: Jun 19, 2013 5:29 PM

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Posts: 8,833
Registered: 1/6/11
Re: Matheology � 291
Posted: Jun 17, 2013 3:52 PM
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In article <eb9120db-7aba-461c-acf5-3538a6d19488@googlegroups.com>,
mueckenh@rz.fh-augsburg.de wrote:

> On Monday, June 17, 2013 5:23:11 AM UTC-7, muec...@rz.fh-augsburg.de wrote:
> > On Monday, 17 June 2013 07:43:58 UTC+2, Zeit Geist wrote:
> >

> > > > In some systems consisting of ZFC + Some "Large Cardinal Axiom" CH,
> > > > even GHC, can be proved or disproved. Perhaps Godel foresaw the coming
> > > > power of Inner Model Theory and Descriptive Set Theory.

> >
> >
> >

> >> In some axiom systems it is possible to prove that the reals can be
> >> well-ordered, in other axiom-systems it is possible to prove that the
> >> reals cannot be well-ordered. This shows that these "proofs" are nonsense,
> >> only pursued by matheologians. No science would rely on modern logic.

> >
> > Why are you talking about the well-ordering of the reals?

> Because it is the most famous example. It can be "proved" in ZFC, it can be
> disproved in Mathematics. And it cannot be done in reality.

In any logical system in which a complete Archimedean ordered field like
the reals can be proved to be well-ordered, one can also prove that,
among other things, 2 + 2 = 1 and WM is a donkey.

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