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Article #307

Re: Are all crows black? => Logic as an essential subject?

#307
From: John C. Baez
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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Message-ID: <1992Nov6.024802.6941@galois.mit.edu>
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References: <Bx5DIB.8qF@cck.coventry.ac.uk> <1992Nov4.170813.27890@CSD-NewsHost.Stanford.EDU> <1992Nov5.182513.25397@lclark.edu>

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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>
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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
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