Re: Sets and Objectivity (Re: Science vs Philosophy of)

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#349

From: Flash Sheridan
Date: Wed, 02 Sep 1992 21:25

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In article <1992Aug28.202643.12965@dcs.qmw.ac.uk>, arodgers@dcs.qmw.ac.uk
(Angus H Rodgers) wrote:
> 
>   About the naive concept of set there is no agreement: not even
> on what axiom system to use (e.g. ZFC is found irksome for formalizing
> category theory), let alone on what sets really are. 

There is actually a fair amount of agreement on what the true axioms are:
certainly about ZF, and most people who avoid Choice do so because it's
inconvenient, not because they believe its negation.  Consensus of course
doesn't imply truth; indeed, I disbelieve the Axiom of Foundation, and
Separation except when restricted to well-founded sets.

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<1992Aug26.002202.14701@math.ucla.edu> <1992Aug26.095740.17255@klaava.Helsinki.FI> <1992Aug27.143116.16970@dcs.qmw.ac.uk> <1992Aug27.173243.4672@klaava.Helsinki.FI> <1992Aug28.202643.12965@dcs.qmw.ac.uk>

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From: 72540.1731@CompuServe.Com (Flash Sheridan)
Newsgroups: sci.philosophy.tech
Subject: Re: Sets and Objectivity (Re: Science vs Philosophy of)
Message-ID: <72540.1731-020992172020@dunham-kstar-node.net.yale.edu>
Date: 2 Sep 92 21:25:45 GMT
References: <1992Aug26.002202.14701@math.ucla.edu> <1992Aug26.095740.17255@klaava.Helsinki.FI> <1992Aug27.143116.16970@dcs.qmw.ac.uk> <1992Aug27.173243.4672@klaava.Helsinki.FI> <1992Aug28.202643.12965@dcs.qmw.ac.uk>
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