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Article #579

Re: Do completed infinite totalities exist? Was: Lowneheim-Skolem theorem

#579
From: Richard Harter
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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References: <1992Nov17.124233.24312@oracorp.com> <TORKEL.92Nov20160605@lludd.sics.se> <369@mtnmath.UUCP> <TORKEL.92Nov21195445@bast.sics.se>

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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.
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