Mathematics & common sense: A case of creative tension

Mathematics and Common Sense: A Case of Creative Tension

Volumn , Issue , 2006, Pages 1-244

  Davis, Philip J ^a  

^a BROWN UNIVERSITY   (United States)

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EID: 85057475018     PISSN: None     EISSN: None     Source Type: Book    
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247. Robyn M. Dawes. Rational Choice in an Uncertain World. Harcourt Brace Jovanovich, 1988.
248. Ian Hacking. The Emergence of Probability. Cambridge University Press, 1984.
249. Michael and Ellen Kaplan. Chances Are: Adventures in Probability. Viking, 2006.
250. Amos Tversky and Daniel Kahnemann. “The Framing of Decisions and the Psychology of Choice.” Science, Vol. 211, 1981.
251. Daniel Kahnemann and Amos Tversky. “On the Study of Statistical Intuition.” Cognition, Vol. 11, 1982.
252. Ernest S. Davis. Common-Sense Reasoning and Mathematical Modeling. In preparation.
253. Anthony Grafton. Cardano’s Cosmos: The Worlds and Works of a Renaissance Astrologer. Harvard University Press, 1999.
254. Oystein Ore. Cardano, the Gambling Scholar. Princeton University Press, 1951. Contains a translation from the Latin of Cardano’s book on games of chance, by Sydney Henry Gould.
255. Barbara Howard Traister. The Notorious Astrological Physician of London: Works and Days of Simon Forman. University of Chicago Press, 2001.
256. Philip J. Davis. “Paul Feyerabend: Philosopher or Crank?” SIAM News, December, 1995.
257. Niels Møller Nielsen. “Counter Argument: In Defense of Common Sense.” Dissertation, Department of Language and Culture, Roskilde University, Denmark, 2000.
258. Francis Wheen. How Mumbo-Jumbo Conquered the World: A Short History of Modern Delusions. Fourth Estate, 2004.
259. Jim Albert and Jay Bennett. Curve Ball: Statistics and the Role of Chance in the Game. Copernicus, 2001.
260. Philip J. Davis. “Playing Ball Probabilistically.” SIAM News, Vol. 35, No. 3, 2001.
261. Perry Mc Dowell, and Michael Zyda. “A Future for Entertainment- Defense Collaboration.” IEEE Computer Graphics & Applications, January/February 2001.
262. James Der Derian. Virtuous War: Mapping the Military-Industrial-Media-Entertainment Network. Westview Press, 2001.
263. John Leland. “The Gamer as Artiste.” New York Times, Week in Review, Sunday, December 4, 2005.
264. Michael Zyda. “The Naval Postgraduate School MOVES PROGRAM — Entertainment Research Directions.” In Proceedings of the Summer Computer Simulation Conference, Vancouver, 16–20 July 2000. SCS Press, 2000.
265. Michael Zyda, MOVES 2004: Where We Came From, Where We’re Going, Publication of The MOVES Institute, Naval Postgraduate School.
266. Michael Zyda and Jerry Sheehan, eds. Modeling and Simulation: Linking Entertainment & Defense. National Academy Press, September 1997.
267. For more on MOVES, see also the following website: http://www.movesinstitute.org
268. For seventeenth-century title page engravings in mathematical books that depict the “legitimization” of mathematics and war, see the following reference.
269. Volker Remmert. Widmung, Welterklärung und Wissenschaftslegitimisierung: Titelbilder und ihre Funktionen in der Wissenschaftlichen Revolution. Harrassowitz Verlag, 2005.
270. Philip J. Davis. “Mathematical Exhibitions: Reactions and Concerns.” SIAM News, Vol. 38, No. 10, December, 2005.
271. Paul W. Droll. “Orchid Watering Decisions.” Orchids, Oct. 2005.
272. Clifford Geertz. Local Knowledge. Basic Books, 1983.
273. Erica Klarreich. “Mathematics in the News.” Emissary (Newsletter of MSRI), Spring 2002.
274. Dan Neil. “Who Knew Math Was So Prime Time.” Los Angeles Times Magazine, October 9, 2005.
275. Rosie O’Donnell Show, March 23, 2001.
276. Lisa Randall, Op Ed New York Times, September 18, 2005.
277. Sara Robinson. “Mathematics and the Media: A Disconnect and a Few Fixes.” SIAM News, October 2001.
278. Tony Rothman. “Genius and Biographers: The Fictionalization of Evariste Galois.” American Mathematical Monthly, Vol. 89, No. 2, 1982.
279. Rina Zazkis and Peter Liljedahl. Hollywood Perceptions of Mathematics: Cultural Truth or Mathematical Fiction? Public lecture presented at Faculty of Education, Simon Fraser University, 2003.
280. See also the following websites: http://www.ams.org/mathmedia/mathdigest/http://www.ams.org/ams/dbis.html
281. Jorge Luis Borges. Other Inquisitions, 1937-1952. University of Texas Press, 1964.
282. Carlo Cellucci. Filosofia e matematica. Laterza, Bari, 2002. An English translation can be found in Eighteen Unconventional Essays on the Nature of Mathematics, Reuben Hersh, ed., Springer-Verlag, 2005.
283. Philip J. Davis. “Applied Mathematics as Social Contract.” Zentralblatt für Didaktik der Mathematik, 88/I. Also in The Mathematics Magazine, Vol. 61, No. 3, June 1988.
284. Philip J. Davis and Reuben Hersh. The Mathematical Experience. Birkhäuser Boston, 1980.
285. Paul Ernest. The Philosophy of Mathematics Education. Falmer Press, 1991.
286. Paul Ernest. “Social Constructivism as a Philosophy of Mathematics.” Thesis, SUNY Albany, 1998.
287. Paul Ernest, ed. Mathematics, Education and Philosophy. Falmer Press, 1994.
288. Paul K. Feyerabend. Against Method: Outline of an Anarchistic Theory of Knowledge. NLB, 1975; revised edition, Verso, 1988.
289. Eduard Glas. “Mathematics as Objective Knowledge and as Human Practice.” In Eighteen Unconventional Essays on the Nature of Mathematics, Reuben Hersh, ed. Springer-Verlag, 2006. Also in Perspectives on Mathematical Practices, J. P. Van Bendegem and Bart Van Kerkhove, eds. Springer-Kluwer, 2006.
290. Ian Hacking. The Social Construction of What. Harvard University Press, 1999.
291. Reuben Hersh. What Is Mathematics, Really? Oxford University Press, 1996.
292. Reuben Hersh, ed. Eighteen Unconventional Essays on the Nature of Mathematics. Springer, 2006.
293. Roger Penrose. The Road to Reality: A Complete Guide to the Laws of the Universe. Knopf, 2005.
294. J. P. Van Bendegem and Bart Van Kerkhove, eds. Perspectives on Mathematical Practices. Springer-Kluwer, 2006.
295. Margaret Wertheim. Pythagoras’ Trousers: God, Physics and the Gender Wars. W. W. Norton, 1997.
296. V. Arnold, et al., eds. Mathematics: Frontiers and Perspectives. American Mathematical Society, 1999.
297. Michael Beeson. “The Mechanization of Mathematics.” In Alan Turing: Life and Legacy of a Great Thinker, C. Teuscher, ed. Springer-Verlag, 2003. Also availablefrom the Internet(http://www.cs.sjsu.edu/faculty/beeson/Papers/turing2.pdf).
298. Bernhelm Booss-Bavnbek and Jens Høyrup, eds. Mathematics and War. Birkhäuser, 2003.
299. Philip J. Davis. “War, Weather, and Mathematics.” SIAM News, Vol. 29, No. 9, November 1996.
300. Philip J. Davis. “Biting the Bullet: Mathematics and War.” SIAM News, Vol. 37, No. 2, March 2004.
301. Philip J. Davis. “The Power of Numerics.” SIAM News, October, 2004.
302. Philip J. Davis. “Running Counter to Inert Crystallized Opinion.” SIAM News, Vol. 37, December 2004.
303. Philip J. Davis. The Prospects for Mathematics in a Multimedia Civilization. Urania talk presented at the International Congress of Mathematicians, Berlin, Also in Alles Mathematik, Martin Aigner and Ehrhard Behrends, eds. Vieweg, 2000.
304. Caroline Dunmore. “Meta-Level Revolutions in Mathematics.” In Revolutions in Mathematics, Donald Gillies, ed. Oxford University Press, 1992.
305. Björn Engquist and Wilfried Schmid, eds. Mathematics Unlimited—2001 and Beyond. Springer-Verlag, 2001.
306. Jeremy Gray. János Bolyai, Non-Euclidean Geometry and the Nature of Space. MIT Press, 2004.
307. Richard W. Hamming. “The Unreasonable Effectiveness of Mathematics.” American Mathematical Monthly, Vol. 87, No. 2, February 1980.
308. Gerald Holton. “On the Psychology of Scientists, and Their Social Concerns.” In The Scientific Imagination: Case Studies. Cambridge University Press, 1978.
309. Peter Lax. Letter to editor in SIAM News, Vol. 38, No. 1, Jan/Feb, 2005.
310. Saunders Mac Lane. Mathematics, Form and Function. Springer-Verlag, 1986.
311. David Mumford, e-communication.
312. Laurentm, Schwartz. Laurent Schwartz: A Mathematician Grappling with his Century. Birkhäuser, 2001.