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Article #249Re: Russell's Paradox (was re: Of apples and their skins)
From: victor yodaiken
Date: Sun, 11 Oct 1992 19:15
Date: Sun, 11 Oct 1992 19:15
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In article <1992Oct10.105913.9955@samba.oit.unc.edu> Robert.Vienneau@bbs.oit.unc.edu (Robert Vienneau) writes: >In short, I find most engineers and mathematicians (!) are sleepwalking. >They think there some's basis for their manipulations, and they think >they know what they're doing. On the other hand, specialists in logic >and set theory have been producing a century's worth of unreadable technical >monographs showing that the practitioners have no understandable basis >for their practice. Is something drastically wrong here? Am I right >to feel uncomfortable? Is the current situation unsubstainable? Most engineers and mathematicians use mathematical principles which may be tested against observed reality, so they don't have to worry about post-facto validation of their deductive methods. The language of mathematics, like other human languages, seems to elude simple reduction to a set of axioms and mechanical productions. Why should this distress anyone? -- yodaiken@chelm.cs.umass.edu
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!uknet!doc.ic.ac.uk!agate!spool.mu.edu!sol.ctr.columbia.edu!hamblin.math.byu.edu!news.byu.edu!news.mtholyoke.edu!nic.umass.edu!dime!chelm.cs.umass.edu!yodaiken From: yodaiken@chelm.cs.umass.edu (victor yodaiken) Newsgroups: sci.logic Subject: Re: Russell's Paradox (was re: Of apples and their skins) Message-ID: <54585@dime.cs.umass.edu> Date: 11 Oct 92 19:15:12 GMT References: <1992Oct9.155935.18205@guinness.idbsu.edu> <1992Oct10.011243.16219@husc3.harvard.edu> <1992Oct10.105913.9955@samba.oit.unc.edu> Sender: news@dime.cs.umass.edu Organization: University of Massachusetts, Amherst Lines: 20