Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math

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

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Virgil

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 291
Posted: Jun 17, 2013 3:52 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.
--





Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.