~/ homedirectory http://www.alansondheim.org/homedirectory1.jpg http://www.alansondheim.org/homedirectory2.jpg http://www.alansondheim.org/homedirectory3.jpg http://www.alansondheim.org/homedirectory.mp4 http://www.alansondheim.org/bctrip1056.jpg ./homedirectory performative w | grep sondheim sondheim pts/20 pool-96-253-57-46.prvdri.f 5:09PM 0 grep sondheim pwd /net/u/6/s/sondheim who | grep sondheim sondheim pts/20 Aug 6 17:09 (96.253.57.46) "I see no reason why a similar phenomenon could not happen in mathematics; in extrapolating a formal mechanism to the limit of its generative capacities, it does not take long to assemble formulas that are so long and complex that all possibility of intuitive interpretation disappears. The 'theorems' thus obtained will probably be formally correct but semantically insignificant. Thus for a given intuitive theory T one must expect to have to use not one but several 'local' axiomatiza- tions; each local axiomatization S has a contact zone Z(sub)S in the morphology for which S is valid; but as soon as one constructs formulas in S which are too long or involved, the intelligibility disappears. At the boundary of the zone Z(sub)S, the semantic link between S and Z(sub)S breaks down; this prohibits the extension beyond Z(sub)S of the isomorphisms S --> T, defined by the meaning. The idea that a theory T could be generated by just one formal system S is, a priori, just as unlikely as the idea that the earth should be flat or that one could cover a surface by a single system of coordinates." - from Rene Thom, "Modern Mathematics: An Educational and Philosophic Error?," p. 73, in New Directions in the Philosophy of Mathematics, An Anthology, ed. Thomas Tymoczko, Birkhauser, Boston, 1986. (some changes in notation) gamespace(edgespace) <--> edgespace(gamespace); ~/.entangled ; blankspace jectivity <--> (edgespace, gamespace); here, there's a change in ontology. _______________________________________________ NetBehaviour mailing list NetBehaviour@netbehaviour.org http://www.netbehaviour.org/mailman/listinfo/netbehaviour
