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Article #147

Re: Set of all sets

#147
From: G.J. McCaughan
Date: Mon, 07 Sep 1992 22:59
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In article <1992Sep7.062552.21596@guinness.idbsu.edu> holmes@opal.idbsu.edu (Randall Holmes) writes:

> A brief remark:  I do know that the consistency of ZFC is itself open
> to doubt.  I agree that one can equally well start working in NF with
> faith in one's heart as we already can in ZFC.  But to start working 
> in NF, we must give up the Axiom of Choice; this is the real problem
> from my standpoint.  I have other reasons for doubting the naturalness
> of NF (but not of NFU) which are not ready for publication.

Hmm. I don't know much about what is and isn't consistent with NF.
Is Dependent Choice consistent with NF? That would satisfy many of us,
perhaps including some who don't like the Axiom of Choice in all its
-- 
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References: <1992Sep4.233526.24088@infodev.cam.ac.uk> <1992Sep5.022356.18971@cs.sfu.ca> <1992Sep7.062552.21596@guinness.idbsu.edu>

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From: gjm11@cus.cam.ac.uk (G.J. McCaughan)
Subject: Re: Set of all sets
Message-ID: <1992Sep7.225943.23043@infodev.cam.ac.uk>
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References: <1992Sep4.233526.24088@infodev.cam.ac.uk> <1992Sep5.022356.18971@cs.sfu.ca> <1992Sep7.062552.21596@guinness.idbsu.edu>
Date: Mon, 7 Sep 1992 22:59:43 GMT
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