Article View: sci.logic
Article #579Re: Do completed infinite totalities exist? Was: Lowneheim-Skolem theorem
From: Richard Harter
Date: Sun, 22 Nov 1992 07:47
Date: Sun, 22 Nov 1992 07:47
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In article <TORKEL.92Nov21195445@bast.sics.se> torkel@sics.se (Torkel Franzen) writes: > The distinction is quite simple. "Provability in T" is an example of a >concept that has a formal system as a parameter, "uncountable" is an >example of a concept that has no formal system as a parameter, whether >explicit or implicit. Perhaps the distinction is quite simple, but I fail to see it. In particular I fail to see why there isn't an implicit formal system in the concept of "uncountable". Unless one accepts the notion of the absolute uncountable, uncountability is always relative to s system and a model for the system, is it not? -- Richard Harter: SMDS Inc. Net address: rh@smds.com Phone: 508-369-7398 US Mail: SMDS Inc., PO Box 555, Concord MA 01742. Fax: 508-369-8272 In the fields of Hell where the grass grows high Are the graves of dreams allowed to die.
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arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!sol.ctr.columbia.edu!eff!news.byu.edu!news.mtholyoke.edu!nic.umass.edu!m2c!jjmhome!smds!rhReferences:
<1992Nov17.124233.24312@oracorp.com> <TORKEL.92Nov20160605@lludd.sics.se> <369@mtnmath.UUCP> <TORKEL.92Nov21195445@bast.sics.se>Show Full Headers
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Path: arc1-ca.pugleaf.net!sparky!uunet!zaphod.mps.ohio-state.edu!sol.ctr.columbia.edu!eff!news.byu.edu!news.mtholyoke.edu!nic.umass.edu!m2c!jjmhome!smds!rh From: rh@smds.com (Richard Harter) Newsgroups: sci.logic Subject: Re: Do completed infinite totalities exist? Was: Lowneheim-Skolem theorem Message-ID: <1992Nov22.074740.13322@smds.com> Date: 22 Nov 92 07:47:40 GMT References: <1992Nov17.124233.24312@oracorp.com> <TORKEL.92Nov20160605@lludd.sics.se> <369@mtnmath.UUCP> <TORKEL.92Nov21195445@bast.sics.se> Reply-To: rh@ishmael.UUCP (Richard Harter) Organization: Software Maintenance & Development Systems, Inc. Lines: 17