In that same vein I also recommend at least the first few pages of this talk.
http://math.ucr.edu/home/baez/periodic/ Carl Ken Lloyd wrote: > Nick, > > See: http://math.ucr.edu/home/baez/rosetta.pdf > > It relates category theory with mathematical topology, physics, logic > and programming. > > Ken > > *From:* [EMAIL PROTECTED] > [mailto:[EMAIL PROTECTED] *On Behalf Of *Nicholas Thompson > *Sent:* Saturday, August 09, 2008 8:58 PM > *To:* [email protected] > *Subject:* [FRIAM] Rosen, and mapping > > Roseners, and anybody else vaguely interested in category theory. > > Rosen seems to be interested in situations in which A maps to B > but not all the values in B can be generated by the mapping. > > this is a lot like the Intension and the Extension of an > utterance. I say with assurance that Mrs. Vanderbilt wished to > sail on the Titanic. In this case, Mrs Vanderbilt's "wanting" is > a function (mathematical sense) that maps from her wants to a > subset of the properties of the Titanic. All the properties of > the Titanic constitute (in philosophic lingo ) it's extension. > The subset, the "image" of Mrs Vanderbilt's wanting , constitutes > the intension of her utterance, "I want to sail on the Titanic." > Among the titanic's attributes, but outside that image, is the > property "hit an iceberg in the North Atlantic and sank." > > I guess the question is whether there is a less tortured > mathematics than category theory that would allow one to talk > about these things. > > N > > > > > Nicholas S. Thompson > Emeritus Professor of Psychology and Ethology, > Clark University ([EMAIL PROTECTED] <mailto:[EMAIL PROTECTED]>) > > > > > ------------------------------------------------------------------------ > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org ============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org
