Emergence, Singularities, and Symmetry Breaking

Foundations of Physics

Volumn 41, Issue 6, 2011, Pages 1031-1050

  Batterman, Robert W ^a,b  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Critical phenomena; Emergence; Explanation; Quantum field theory; Renormalization group; Singularities

Indexed keywords

EID: 79956267523     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10701-010-9493-4     Document Type: Article

References (24)

1. Anderson, P. W.: More is different. Science 177(4047), 393-396 (1972). ISSN 00368075. http://www. jstor. org/stable/1734697.
2. Batterman, R. W.: Why equilibrium statistical mechanics works: Universality and the renormalization group. Philos. Sci. 65, 183-208 (1998).
3. Batterman, R. W.: Intertheory Relations in Physics. The Stanford Encyclopedia of Philosophy (2001). http://plato. stanford. edu/entries/physics-interrelate/.
4. Batterman, R. W.: The Devil in the Details: Asymptotic Reasoning in Explanation, Reduction, and Emergence. Oxford Studies in Philosophy of Science. Oxford University Press, London (2002).
5. Batterman, R. W.: Reduction. In: Encyclopedia of Philosophy, 2nd edn. Macmillan, New York (2006).
6. Batterman, R. W.: On the explanatory role of mathematics in empirical science. Br. J. Philos. Sci. 1-25 (2009). doi: 10. 1093/bjps/axp018. http://bjps. oxfordjournals. org/cgi/content/abstract/axp018v1.
7. Batterman, R. W.: Multiple realizability and universality. Br. J. Philos. Sci. 51, 115-145 (2000).
8. Batterman, R. W.: Reduction renormalization. In: Ernst, G., Hüttemann, A. (eds.) Time, Chance, and Reduction: Philosophical Aspects of Statistical Mechanics, pp. 159-179 (2010).
9. Berry, M. V.: Singular limits. Phys. Today 10-11 (2002).
10. Berry, M. V.: Asymptotics singularities and the reduction of theories. In: Prawitz, D., Skyrms, B., Westerståhl, D. (eds.) Logic, Methodology and Philosophy of Science, IX: Proceedings of the Ninth International Congress of Logic, Methodology and Philosophy of Science, Uppsala, Sweden, 7-14 August 1991. Studies in Logic and Foundations of Mathematics, pp. 597-607. Elsevier Science, Amsterdam (1994).
11. Brush, S. G.: Statistical Physics and the Atomic Theory of Matter, from Boyle and Newton to Landau and Onsager. Princeton Series in Physics. Princeton University Press, New Jersey (1983).
12. Fisher, M. E.: Scaling universality and, renormalization group theory. In: Hahne, F. J. W. (ed.) Critical Phenomena, Summer School Held at the University of Stellenbosch, South Africa, 18-29 January 1982. Lecture Notes in Physics, vol. 186. Springer, Berlin (1983).
13. Hempel, C. G.: Aspects of scientific explanation. In: Aspects of Scientific Explanation and Other Essays in the Philosophy of Science, pp. 331-496. The Free Press, New York (1965).
14. Jackiw, R.: The unreasonable effectiveness of quantum field theory. In: Cao, T. Y. (ed.) Conceptual Foundations of Quantum Field Theory, pp. 148-159. Cambridge University Press, Cambridge (1999).
15. Kadanoff, L. P.: Statistical Physics: Statics, Dynamics, and Renormalization. World Scientific, Singapore (2000).
16. Khinchin, A. I.: Mathematical Foundations of Statistical Mechanics. Dover, New York (1949).
17. Lauglin, R. B., Pines, D.: The theory of everything. In: Bedau, M. A., Humphreys, P. (eds.) Emergence: Contemporary Readings in Philosophy and Science, pp. 259-268. The MIT Press, Cambridge (2007).
18. Nagel, E.: The Structure of Science: Problems in the Logic of Scientific Explanation. Harcourt, Brace, & World, New York (1961).
19. Nelson, D. R.: Defects and Geometry in Condensed Matter Physics. Cambridge University Press, Cambridge (2002).
20. Pfeuty, P., Toulouse, G.: Introduction to the Renormalization Group and to Critical Phenomena. Wiley, London (1977). Translation: G. Barton.
21. Sinai, Y. G.: Probability Theory: An Introductory Course. Springer, Berlin (1992). Trans.: D. Haughton.
22. Sklar, L.: Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics. Cambridge University Press, Cambridge (1993).
23. Wilson, K. G., Kogut, J.: The renormalization group and the ε expansion. Phys. Rep. 12(2), 75-199 (1974).
24. Wilson, M.: Determinism and the mystery of the missing physics. Br. J. Philos. Sci. 60, 173-193 (2009).