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Article #734Re: Numbers and sets
From: Randall Holmes
Date: Wed, 30 Dec 1992 18:12
Date: Wed, 30 Dec 1992 18:12
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In article <BzzHDI.2Bv@umassd.edu> pmsc13sg@UMASSD.EDU writes: >In article <1992Dec28.155555.21505@guinness.idbsu.edu>, holmes@opal.idbsu.edu >(Randall Holmes) writes: >>In article <Bzsrvt.167@umassd.edu> pmsc13sg@UMASSD.EDU writes: >>> Is there a relationship between sets and Plato's Forms? > >Plato's Forms were ideal exemplars of >>mundane objects; sets do not have this character (the set of all >>natural numbers is not a perfect natural number). > > Perhaps I should have asked about Kantian, subjective forms. Do you actually read other people's postings, or do you just look for key words and consult Rand to find out what we are supposed to be saying? You should know very well that I do not consider formal objects to be subjective in any way, shape or form. I am starting >"Plato, Kant and Aristotle in Math" by Glenn Marcus (2nd Renaissance Books, >1991, audio) and should have some wisdom on math soon. You won't get wisdom on math by reading any of those gentlemen. Try Bertrand Russell (OK, Mikhail, I won't ennoble him anachronistically). I'd agree with you about his politics, but he's good on math _and_ a good writer. There are other people to read, of course. > Marcus says scientists (excepting computer scientists w/info theory) use >only pre-20th century math and quotes a leading mathematician on the >impracticality of math. Comments? This is not true for scientists in general, and the computer scientists in particular are using a lot more 20th century math than information theory; the theory of types, for example, is applied in CS. >================================================================================ > "In that world, you'll be able to rise in the morning with the spirit >you had known in your childhood: that spirit of eagerness, adventure and cer- >tainty which comes from dealing with a rational universe." Since the universe (as opposed to its loal inhabitants) is already rational, you should already be able to do this, no? (At least, if you have a strong stomach). > AYN RAND >================================================================================ >Stephen Grossman <PMSC13SG@UMASS.EDU> >================================================================================ -- The opinions expressed | --Sincerely, above are not the "official" | M. Randall Holmes opinions of any person | Math. Dept., Boise State Univ. or institution. | holmes@opal.idbsu.edu
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Newsgroups: sci.philosophy.tech Path: arc1-ca.pugleaf.net!sparky!uunet!pmafire!mica.inel.gov!guinness!opal.idbsu.edu!holmes From: holmes@opal.idbsu.edu (Randall Holmes) Subject: Re: Numbers and sets Message-ID: <1992Dec30.181214.2580@guinness.idbsu.edu> Sender: usenet@guinness.idbsu.edu (Usenet News mail) Nntp-Posting-Host: opal Organization: Boise State University References: <Bzsrvt.167@umassd.edu> <1992Dec28.155555.21505@guinness.idbsu.edu> <BzzHDI.2Bv@umassd.edu> Date: Wed, 30 Dec 1992 18:12:14 GMT Lines: 56