Topos methods in the foundations of physics

Deep Beauty: Understanding the Quantum World Through Mathematical Innovation

Volumn , Issue , 2011, Pages 187-206

  Isham, Chris J ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

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[No Author keywords available]

Indexed keywords

EID: 84912028035     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511976971.005     Document Type: Chapter

References (13)

1. A. Döring and C. J. Isham. A topos foundation for theories of physics: I. Formal languages for physics. Journal of Mathematical Physics, 49 (2008), 053515.
2. A. Döring and C. J. Isham. A topos foundation for theories of physics: II. Daseinisation and the liberation of quantum theory. Journal of Mathematical Physics, 49 (2008), 053516.
3. A. Döring and C. J. Isham. A topos foundation for theories of physics: III. The representation of physical quantities with arrows Ă: Journal of Mathematical Physics, 49 (2008), 053517.
4. A. Döring and C. J. Isham. A topos foundation for theories of physics: IV. Categories of systems. Journal of Mathematical Physics, 49 (2008), 053518.
5. A. Döring and C. J. Isham. “What is a thing?”: Topos theory in the foundations of physics. To appear in New Structures in Physics, Lecture Notes in Physics, vol. 813, ed. B. Coecke. New York: Springer, 2010 (in press).
6. J. Hamilton, C. J. Isham, and J. Butterfield. A topos perspective on the Kochen-Specker theorem: III. Von Neumann algebras as the base category. International Journal of Theoretical Physics, 39 (2000), 1413–36.
7. M. Heidegger. What Is a Thing? South Bend, IN: Regenery/Gateway, 1967.
8. C. J. Isham. Some reflections on the status of conventional quantum theory when applied to quantum gravity. In Proceedings of the Conference in Honour of Stephen Hawking’s 60th Birthday, ed. G. Gibbons. Cambridge: Cambridge University Press, 2003.
9. C. J. Isham and J. Butterfield. A topos perspective on the Kochen-Specker theorem: I. Quantum states as generalised valuations. International Journal of Theoretical Physics, 37 (1998), 2669–733.
10. C. J. Isham and J. Butterfield. A topos perspective on the Kochen-Specker theorem: II. Conceptual aspects, and classical analogues. International Journal of Theoretical Physics, 38 (1999), 827–59.
11. C. J. Isham and J. Butterfield. A topos perspective on the Kochen-Specker theorem: IV. Interval valuations. International Journal of Theoretical Physics, 41 (2002), 613–39.
12. S. Kochen and E. P. Specker. The problem of hidden variables in quantum mechanics. Journal of Mathematics and Mechanics, 17 (1967), 59–87.
13. I. Moerdijk and G. E. Reyes. Models for Smooth Infinitesimal Analysis. New York: Springer-Verlag, 1991.