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Article #104

Re: Set theory and modal logic

#104
From: logic
Date: Wed, 08 Apr 1992 16:01
14 lines
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In article <1992Apr7.124948.5325@vax.oxford.ac.uk>, loader@vax.oxford.ac.uk (R Loader) writes:

> S4 and S5 (and most other common modal logics), are subsystems of classical
> (non-modal) logic extended with the axiom: A iff \box A.

Other stuff deleted....

> Ralph Loader,
> Mathematical Institute, Oxford.

S4 and S5 are supersystems, not subsystems, of classical logic..  Neither
contain the axiom "A iff \box A", both contain the axiom "if \box A then A".

Al Hart
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Message-ID: <1992Apr8.100146.689@gacvx2.gac.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!umn.edu!noc.MR.NET!gacvx2.gac.edu!logic
References: <1992Apr5.213320.27618@morrow.stanford.edu> <1992Apr7.124948.5325@vax.oxford.ac.uk>

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Path: arc1-ca.pugleaf.net!sparky!uunet!spool.mu.edu!umn.edu!noc.MR.NET!gacvx2.gac.edu!logic
From: logic@gacvx2.gac.edu
Newsgroups: sci.logic
Subject: Re: Set theory and modal logic
Message-ID: <1992Apr8.100146.689@gacvx2.gac.edu>
Date: 8 Apr 92 16:01:45 GMT
Article-I.D.: gacvx2.1992Apr8.100146.689
References: <1992Apr5.213320.27618@morrow.stanford.edu> <1992Apr7.124948.5325@vax.oxford.ac.uk>
Organization: Gustavus Adolphus College, St. Peter, Minnesota
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