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Article #5654Re: Lowenheim-Skolem theorem (was: Continuos vs. discrete models)
From: rivero
Date: Thu, 19 Nov 1992 17:28
Date: Thu, 19 Nov 1992 17:28
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In article <COLUMBUS.92Nov19105153@strident.think.com> Michael Weiss, columbus@strident.think.com writes: >Assuming one could axiomatize, say, QED as a consistent first-order theory >(insert obligatory comment by John Baez on how this hasn't been done yet-- >that is, the combination of defining the formal system QED and proving >Con(ZF)-->Con(QED) hasn't been carried out), it follows that there is a >countable model that looks EXACTLY LIKE the continous model, so far as >statements we can make in the language of the theory. And if the >axiomatization is worthy of the name, then such statements are all a >physicist cares about. Metamathematics is metaphysics, in this case. Wasnt L-H theorem the kind of things that let you go in both directions? This is, given a model, you can get ones with lower cardinality, and others with higher. I think to remember that you can always go higher by using Los theorem, ultraproducts, or something so?. This was the thing Robinson did to go over no-standard (*), is this? (Sorry by the quantity of question marks, but Metamatematical Physics is always a peripherical issue) -Alejandro Rivero Zaragoza Univ, Spain (*) In this sense ,there was some papers from S. Albeverio relating non standard constructions and path integral integrations etc...
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Newsgroups: sci.physics Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sunic!aun.uninett.no!nuug!nntp.uio.no!news From: rivero <rivero@cc.unizar.es> Subject: Re: Lowenheim-Skolem theorem (was: Continuos vs. discrete models) Message-ID: <1992Nov19.172844.17787@ulrik.uio.no> X-Xxdate: Thu, 19 Nov 92 18:26:16 GMT Sender: news@ulrik.uio.no (Mr News) Nntp-Posting-Host: 155.210.147.31 Organization: fisica teorica UZ X-Useragent: Nuntius v1.1.1d12 References: <1992Nov17.124233.24312@oracorp.com> <361@mtnmath.UUCP> <TORKEL.92Nov18193457@bast.sics.se> <COLUMBUS.92Nov19105153@strident.think.com> Date: Thu, 19 Nov 1992 17:28:44 GMT Lines: 27