Article View: sci.logic
Article #251Re: A only if B
From: Antoni Diller
Date: Mon, 12 Oct 1992 17:25
Date: Mon, 12 Oct 1992 17:25
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1394 bytes
In article <rkaivola.718902434@mits> rkaivola@mits.mdata.fi (Risto Kaivola) writes: > > The following is no doubt a little trivial for the participants of this >group, but I hope someone is willing to help me, nevertheless. > Exactly how should one formalize the English notion of 'only if' >in the language of the propositional calculus? > That is, given the sentence >"Tom will visit us only if we invite him.", >is the correct formalization > >A = "Tom will visit us." > >B = "We invite him." > >A --> B > > >Or, should this perhaps be B --> A (not in my opinion), or A <--> B >(this last alternative is more likely to be correct than B --> A, in my >opinion)? > >This isn't homework. > >-- >Risto Kaivola >(Internet address: rkaivola@mits.mdata.fi) I'd go for: (B --> A) & (-B --> -A) Antoni Diller
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Path: arc1-ca.pugleaf.net!sparky!uunet!charon.amdahl.com!pacbell.com!sgiblab!zaphod.mps.ohio-state.edu!sol.ctr.columbia.edu!ira.uka.de!math.fu-berlin.de!unidui!rrz.uni-koeln.de!Germany.EU.net!mcsun!uknet!news.cs.bham.ac.uk!ard From: ard@cs.bham.ac.uk (Antoni Diller) Newsgroups: sci.logic Subject: Re: A only if B Message-ID: <Bw0r39.G2I@cs.bham.ac.uk> Date: 12 Oct 92 17:25:56 GMT References: <rkaivola.718902434@mits> Sender: news@cs.bham.ac.uk Organization: School of Computer Science, University of Birmingham, UK Lines: 33 Nntp-Posting-Host: fattie