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*To*: fom@math.psu.edu*Subject*: Re: FOM: defining ``mathematics''*From*: Vaughan Pratt <pratt@CS.Stanford.EDU>*Date*: Tue, 21 Dec 1999 21:03:43 -0800*In-reply-to*: Your message of "Tue, 21 Dec 1999 19:07:24 EST." <14432.5692.521594.73734@rayleigh.math.psu.edu>*Sender*: owner-fom@math.psu.edu

Simpson Tue, 21 Dec 1999 19:07:24 -0500 (On Buss Tue Dec 07 00:51:16 1999) >Thus mathematics, like every other science, is to be defined as the >study of a specific subject matter. To delimit that subject matter >may be difficult, but as a first attempt let's call it ``quantity''. >In other words, I am suggesting to define mathematics as the science >of quantity. "Theory" might work even better here than "quantity." And rather than being a science I would say that it was a limit: mathematics is the limit of theory. The more theoretical a scientist becomes, the more mathematical the subject matter. Logic is the glue that binds propositions coherently, whether they be facts, opinions, beliefs, judgments, misunderstandings, propaganda, or statistics. Logic and mathematics are two sides of the same coin. Logic does for propositions and inferences what mathematics does dually for objects and constructions. I take Sam's position to be entirely consistent with this, at least for logic and mathematics individually if not as a complementary couple. Vaughan Pratt

**References**:**Stephen G Simpson**- FOM: defining ``mathematics''

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