Mancosu - Philosophy of Mathematical Practice (Oxford, 2008).pdf

the boundary between mathematics and physics 415discussed, material for philosophical thought on issues such as the growthof mathematical thought, the porous line between method of discovery andmethod of demonstration in mathematics and in physics, and issues of conceptformation in the mathematical and the physical sciences. Further philosophicalreflections on the process of growth of mathematical knowledge are to befound in the collection Grosholz and Breger (2000).Finally, many thought-provoking ideas on the relationship between mathematicsand physics are to be found in the writings of Sir Michael Atiyah,particularly in Volumes 1 and 6 of his Collected Works (Atiyah, 1998–2004).BibliographyAtiyah, Michael (1988–2004), Collected Works (6 vols) (Oxford: Oxford UniversityPress).Batterman, Robert W. (2002), The Devil in the Details: Asymptotic Reasoning inExplanation, Reduction and Emergence (Oxford: Oxford University Press).(2005), ‘Response to Belot’s ‘‘Whose Devil? Which Details?’’ ’, Philosophy ofScience, 72, 154–163.Belot, Gordon (2005), ‘Whose Devil? Which Details?’, Philosophy of Science, 72,128–153.Bourbaki, Nicolas (2004), Elements of Mathematics: Theory of Sets (Berlin: Springer-Verlag).Cartier, Pierre,Julia, Bernard,Moussa, Pierre,andVanhove, Pierre (eds.) (2006),Frontiers in Number Theory, Physics, and Geometry I: On Random Matrices, ZetaFunctions, and Dynamical Systems (New York: Springer-Verlag).Davey, Kevin (2003), ‘Is Mathematical Rigour Necessary in Physics?’, British Journalfor the Philosophy of Science, 54, 439–463.Deligne, Pierre, Etingof, Pavel,Freed, Daniel S., Jeffrey, Lisa C., Kazhdan, David,Morgan, John W., Morrison, David R., and Witten, Edward (eds.) (1999),Quantum Fields and Strings: A Course for Mathematicians (American MathematicalSociety and The Institute for Advanced Study).Dyson, Freeman J. (1972), ‘Missed Opportunities’, Bulletin of the American MathematicalSociety, 78, 635–652.Faddeev, L.D.(2006), ‘What Modern Mathematical Physics is Supposed to Be’, inMathematical Events of the Twentieth Century (New York: Springer-Verlag) pp. 75–84.Fine,DanaandFine, Arthur (1997), ‘Gauge Theory, Anomalies and Global Geometry:The Interplay of Physics and Mathematics’, Studies in History and Philosophy of ModernPhysics, 28, 307–323.Fischer,K.H.andHertz,J.A.(1991), Spin Glasses (Cambridge: Cambridge UniversityPress).