Article View: sci.logic
Article #366Re: Russell's Paradox
From: Brendan Mahony
Date: Fri, 13 Nov 1992 05:35
Date: Fri, 13 Nov 1992 05:35
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In <1992Nov10.001234.18488@guinness.idbsu.edu> holmes@garnet.idbsu.edu (Randall Holmes) writes: >i. Russell's paradox does have _semantic_ consequences. Whatever >membership is, there is no set of all sets that are not members of >themselves. Certainly the mechanics of applying the paradox are >syntactical -- so what? I don't see that the Russell paradox of itself requires the non-existence of this object (RP). The most I could deduce from it is that the predicate RP is a member of RP has no truth value. I.e. the function 'is a member of' is not total. -- When soldiers form lines or hollow squares, you call it reason. When wild geese in flight take the form of a letter V, you say instinct. When the homogeneous atoms of a mineral arrange themselves into shapes mathematically perfect you have nothing to say. You have not even invented a name to conceal your heroic unreason."
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Path: arc1-ca.pugleaf.net!sparky!uunet!munnari.oz.au!bunyip.cc.uq.oz.au!uqcspe!cs.uq.oz.au!brendan From: brendan@cs.uq.oz.au (Brendan Mahony) Newsgroups: sci.logic Subject: Re: Russell's Paradox Message-ID: <11040@uqcspe.cs.uq.oz.au> Date: 13 Nov 92 05:35:21 GMT References: <25916@optima.cs.arizona.edu> <1992Nov09.172532.43648@Cookie.secapl.com> <1992Nov10.001234.18488@guinness.idbsu.edu> Sender: news@cs.uq.oz.au Reply-To: brendan@cs.uq.oz.au Lines: 20