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Re: So let me get this right: (Was: NFNF vs 1NF ...)

From: Jan Hidders <jan.hidders_at_REMOVETHIS.pandora.be>
Date: Sun, 13 Feb 2005 10:19:51 GMT
Message-ID: <bRFPd.10564$rr7.688170@phobos.telenet-ops.be>


Paul wrote:
> Jan Hidders wrote:
>

>> There are no theoretical problems with RVA's. Usually they are typed, 
>> which prevent's Russel's paradox, but even if you don't like that, 
>> then you can prevent it by restricting yourself to non-recursive 
>> values, and even if that is too strict for you you can use 
>> non-well-founded sets and still not have any problems with paradoxes.

>
> What would an untyped RVA be, and how could they lead to Russell's paradox?

An untyped RVA is an RVA that can contain any finite or infinite relation.

> I thought that you could only get Russell's paradox if you allowed RVAs
> to be relation variables rather than relation values?

In the original naive set theory in which the paradox was formulated there is no notion of variable, just values.

Received on Sun Feb 13 2005 - 04:19:51 CST

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