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Article #366

Re: Russell's Paradox

#366
From: Brendan Mahony
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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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
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