*From*: JimKandJulieB@xxxxxxx*To*: lit-ideas@xxxxxxxxxxxxx*Date*: Sat, 18 Dec 2004 19:21:40 EST

<<The people who really quarrel with the excluded middle are those mathematicians called "intuitionists," who will not, as I recall accept existence proofs that depend on the law of the excluded middle.>> This is interesting. I'd be interested to know on what basis they refuse those proofs. Julie Krueger ========Original Message======== Subj: [lit-ideas] Re: Imagination and maths [and maybe more.....] Date: 12/18/04 1:31:28 P.M. Central Standard Time From: _junger@xxxxxxxxxxxxxxxxxxxxx (mailto:junger@xxxxxxxxxxxxxxxxxxxx) To: _lit-ideas@xxxxxxxxxxxxxx (mailto:lit-ideas@xxxxxxxxxxxxx) Sent on: Robert Paul writes: : Not all of us accept the Laws of Logic of Aristotle to be Absolute Truth. : Quantum and Astro Physics would quarrel with the excluded middle, etc. Logi : c : may need to be re-defined/described. : -------------------------------------- : Modern logic is not Aristotelian and hasn't been since the great work of Freg : e : in the late 19th century. Stoic logic is closer to modern propositional logic : in : that it deals not just with classes of things (the subjects and predicates of : Aristotelian logic) but with entire sentences, and with logical constants suc : h : as 'or,' etc. : : However, I'm not sure how quantum physics 'quarrels' with the law of the : excluded middle. I suspect that the reference is to the example of Schroedinger's Cat, which is in a middle state where it cannot be said to be either alive or dead. The people who really quarrel with the excluded middle are those mathematicians called "intuitionists," who will not, as I recall accept existence proofs that depend on the law of the excluded middle. -- Peter D. Junger--Case Western Reserve University Law School--Cleveland, OH EMAIL: junger@xxxxxxxxxxxxxxxxxxxx URL: http://samsara.law.cwru.edu ------------------------------------------------------------------ To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, digest on/off), visit www.andreas.com/faq-lit-ideas.html ------------------------------------------------------------------ To change your Lit-Ideas settings (subscribe/unsub, vacation on/off, digest on/off), visit www.andreas.com/faq-lit-ideas.html

**Follow-Ups**:**[lit-ideas] Re: Imagination and maths [and maybe more.....]***From:*Peter D. Junger

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