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Article #265Re: "A only if B" vs "A if and only if B"
From: sjv
Date: Thu, 15 Oct 1992 08:54
Date: Thu, 15 Oct 1992 08:54
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1361 bytes
In article <1992Oct13.224541.3542@thunder.mcrcim.mcgill.edu> rags@triples.math.mcgill.ca (Robert A. G. Seely) writes: > >I am surprised at the amount of comment this has caused - but (at the risk >of making a blooper myself - it's always possible and frequently probable) >here is my attempt to kill the thread: > > ... Bob's account is clear and comprehensive and ought indeed to kill the thread. My only reason for prolonging the agony is that I think that one reason for the confusion is that English has temporal implications that the logic throws away: "if A then B" suggests that A happens first and B inevitably follows (in _time_). "A only if B" suggests that B happens first, as a necessary precondition to A. Logically, both are translated as A -> B, but I suspect that the temporal suggestion "B then A" in "A only if B" disturbs people's logical judgement and tempts them to translate it as B -> A. Steve Vickers.
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!doc.ic.ac.uk!doc.ic.ac.uk!usenet From: sjv@doc.ic.ac.uk Newsgroups: sci.logic Subject: Re: "A only if B" vs "A if and only if B" Message-ID: <1bjbjrINNhvg@frigate.doc.ic.ac.uk> Date: 15 Oct 92 08:54:18 GMT References: <1992Oct13.224541.3542@thunder.mcrcim.mcgill.edu> Organization: Imperial College Lines: 25 NNTP-Posting-Host: dse-mac-l1-85.doc.ic.ac.uk