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

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Posts: 18,076
Registered: 1/29/05
Re: Matheology § 291
Posted: Jun 17, 2013 2:10 PM
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On Monday, June 17, 2013 5:23:11 AM UTC-7, 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.

> I thought this was about the Continuum Hypothesis?

The same mess. But less known.

Regards, WM

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