Article View: sci.logic
Article #307Re: Are all crows black? => Logic as an essential subject?
From: John C. Baez
Date: Fri, 06 Nov 1992 02:48
Date: Fri, 06 Nov 1992 02:48
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In article <1992Nov5.182513.25397@lclark.edu> higa@lclark.edu (Keith Higa) writes: >In article <1992Nov4.170813.27890@CSD-NewsHost.Stanford.EDU> >pratt@Sunburn.Stanford.EDU (Vaughan R. Pratt) writes: >>I have very mixed feelings about this. Freshman math at Gunn High >>(where my 14 year old goes) started out this year with a couple of >>weeks of propositional logic before getting into geometry etc. My >>intuitive feeling was that she got much less useful math out of the >>logic than out of the geometry. On the other hand logic is fundamental >>to thought, and even if humans don't reason propositionally it is good >>to at least be aware of a logical system that they could plausibly >>reason in, albeit clumsily. > >My logic professor brought up the story of Bertrand Russell. I think >(correct me if I'm wrong), that he and a co-author set out to prove that >all math was based on logic, and it took them two volumes to logically >prove that 1+1=2. There were, however, some interesting lemmas.
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Newsgroups: sci.logic,alt.uu.future Path: arc1-ca.pugleaf.net!sparky!uunet!snorkelwacker.mit.edu!galois!riesz!jbaez From: jbaez@riesz.mit.edu (John C. Baez) Subject: Re: Are all crows black? => Logic as an essential subject? Message-ID: <1992Nov6.024802.6941@galois.mit.edu> Sender: news@galois.mit.edu Nntp-Posting-Host: riesz Organization: MIT Department of Mathematics, Cambridge, MA References: <Bx5DIB.8qF@cck.coventry.ac.uk> <1992Nov4.170813.27890@CSD-NewsHost.Stanford.EDU> <1992Nov5.182513.25397@lclark.edu> Date: Fri, 6 Nov 92 02:48:02 GMT Lines: 19