Branching in the landscape of possibilities

Synthese

Volumn 188, Issue 1, 2012, Pages 41-65

  Müller, Thomas ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Branching space times; Branching time; Experiment; Modality; Possibility

Indexed keywords

EID: 84867139005     PISSN: 00397857     EISSN: 15730964     Source Type: Journal    
DOI: 10.1007/s11229-011-0059-6     Document Type: Article

References (66)

1. AMS. (2010). American Mathematical Society Mathematics Subject Classification 2010. http://www. ams. org/mathscinet/msc/. Accessed 11 Dec 2010.
2. Belnap, N. (1992). Branching space-time. Synthese, 92(3), 385-434. See also the postprint 2003, available on philsci-archive.
3. Belnap N. (1999) Concrete transitions. In: Meggle G. (eds) Actions, norms, values: Discussions with Georg Henrik von Wright. de Gruyter, Berlin, pp 227-236.
4. Belnap N. (2002a) Double time references: Speech-act reports as modalities in an indeterminist setting. In: Wolter F., Wansing H., de Rijke M., Zakharyaschev M. (eds) Advances in modal logic. World Scientific, Singapore, pp 37-58.
5. Belnap N. (2002b) EPR-like "funny business" in the theory of branching space-times. In: Placek T., Butterfield J. (eds) Non-locality and modality. Kluwer, Dordrecht, pp 293-315.
6. Belnap N. (2003) No-common-cause EPR-like funny business in branching space-times. Philosophical Studies 114: 199-221.
7. Belnap N. (2005) A theory of causation: Causae causantes (originating causes) as inus conditions in branching space-times. British Journal for the Philosophy of Science 56: 221-253.
8. Belnap N. (2007a) From Newtonian determinism to branching space-time indeterminism. In: Müller T., Newen A. (eds) Logik, Begriffe, Prinzipien des Handelns. Mentis, Paderborn, pp 13-31.
9. Belnap N. (2007b) Propensities and probabilities. Studies in History and Philosophy of Modern Physics 38(3): 593-625.
10. Belnap N., Perloff M. (1988) Seeing to it that: A canonical form for agentives. Theoria (Lund) 54(3): 175-199.
11. Blackburn P., De Rijke M., Venema Y. (2001) Modal logic. Cambridge University Press, Cambridge.
12. Bogen J., Woodward J. (1988) Saving the phenomena. The Philosophical Review 97(3): 303-352.
13. Byrne P. (2010) Everett and Wheeler: The untold story. In: Saunders S., Barrett J., Kent A., Wallace D. (eds) Many worlds? Everett, quantum theory, and reality. Oxford University Press, Oxford, pp 521-541.
14. Church A. (1956) Introduction to mathematical logic. Princeton University Press, Princeton, NJ.
15. Cooper L. N. (1976) How possible becomes actual in the quantum theory. Proceedings of the American Philosophical Society 120(1): 37-45.
16. Cooper L. N., van Vechten D. (1969) On the interpretation of measurement within the quantum theory. American Journal of Physics 37: 1212-1220.
17. DeWitt B. S. (1970) Quantum mechanics and reality. Physics Today 23(9): 30-35.
18. Dretske F. (1994) If you can't make one, you don't know how it works. Midwest Studies in Philosophy 19: 468-482.
19. Dullstein, M. (2008). Verursachung und kausale Relevanz. Eine Analyse singulärer Kausalaussagen. Ph. D. thesis, University of Heidelberg.
20. Dummett M. (1964) Bringing about the past. Philosophical Review 73(3): 338-359.
21. Earman J. (2007) Aspects of determinism in modern physics. In: Butterfield J., Earman J. (eds) Handbook of the philosophy of physics. Elsevier, Amsterdam, pp 1369-1434.
22. Everett (1957) 'Relative state' formulation of quantum mechanics. Reviews of Modern Physics 29(3): 454-462.
23. Feathers N. (1947) Radioactive branching. Reports on Progress in Physics 11: 19-31.
24. Fine K. (2005) Modality and tense. Oxford University Press, Oxford.
25. Frigg R. (2010) Models and fiction. Synthese 172: 251-268.
26. Gopnik, A., Schulz, L. (eds) (2007) Causal learning. Psychology, philosophy, and computation. Oxford University Press, Oxford.
27. Hazen A. (1979) Counterpart-theoretic semantics for modal logic. Journal of Philosophy 76(6): 319-338.
28. Hopf E. (1942) Abzweigung einer periodischen Lösung von einer stationären Lösung eines Differentialsystems. Berichte über die Verhandlungen der Sächsischen Akademie der Wissenschaften zu Leipzig. Mathematisch-Physikalische Klasse 94: 3-22.
29. Kolmogorov, A. N., & Dmitriev, N. A. (1947). Branching stochastic processes. Comptes Rendus (Doklady) de'l Académie des Sciences de l'URSS, 56(1), 5-8. See also Mathematical Reviews, 9, 1 (1948) 46.
30. Kratzer A. (1991) Modality. In: von Stechow A., Wunderlich D. (eds) Semantics: An international handbook of contemporary research. de Gruyter, Berlin, pp 639-650.
31. Kripke S. (1980) Naming and necessity. Blackwell (Originally published in 1972), Oxford.
32. Leslie A. M., Keeble S. (1987) Do six-month-old infants perceive causality?. Cognition 25: 265-288.
33. Lewis D. K. (1986) On the plurality of worlds. Blackwell, Oxford.
34. Lindenbaum, A., & Tarski, A. (1936). Über die Beschränktheit der Ausdrucksmittel deduktiver Theorien. Ergebnisse eines mathematischen Kolloquiums, 7, 15-22. (English translation in Tarski, Logic, Semantics, Metamathematics, Hackett 1983, Ch. XIII).
35. Mackie, P. (2008). Transworld identity. In E. N. Zalta (Eds.), The Stanford encyclopedia of philosophy. Fall 2008 edition. http://plato. stanford. edu/archives/fall2008/entries/identity-transworld/.
36. Müller T. (2002) Branching space-time, modal logic and the counterfactual conditional. In: Placek T., Butterfield J. (eds) Non-locality and modality. Kluwer, Dordrecht, pp 273-291.
37. Müller T. (2005) Probability theory and causation: A branching space-times analysis. British Journal for the Philosophy of Science 56(3): 487-520.
38. Müller T. (2007) A branching space-times view on quantum error correction. Studies in History and Philosophy of Modern Physics 38: 635-652.
39. Müller T. (2010) Towards a theory of limited indeterminism in branching space-times. Journal of Philosophical Logic 39: 395-423.
40. Müller, T. (2011a). Branching space-times, general relativity, the Hausdorff property, and modal consistency. Forthcoming; preprint at http://philsci-archive. pitt. edu/8577/.
41. Müller T. (2011) Probabilities in branching structures. In: Dieks D., Gonzales W. J., Hartmann S., Uebel T., Weber M. (eds) Explanation, prediction and confirmation The philosophy of science in a European perspective, Vol. 2. Springer, Dordrecht, pp 109-121.
42. Müller T., Belnap N., Kishida K. (2008) Funny business in branching space-times: Infinite modal correlations. Synthese 164: 141-159.
43. Øhrstrøm P. (2009) In defence of the thin red line: A case for Ockhamism. Humana. Mente 8: 17-32.
44. Peres A. (1986) Existence of "free will" as a problem of physics. Foundations of Physics 16(6): 573-584.
45. Placek T. (2010) Bell-type correlations in branching space-times. In: Czarnecki T., Kijania-Placek K., Poller O., Woleński J. (eds) The analytic way Proceedings of the European congress on analytic philosophy, Kraków, August 2008. College Publications, London.
46. Placek T. (2011) Possibilities without possible worlds/histories. Journal of Philosophical Logic 40(6): 737-765.
47. Placek T., Müller T. (2007) Counterfactuals and historical possibility. Synthese 154: 173-197.
48. Placek T., Wroński L. (2009) On infinite EPR-like correlations. Synthese 167(1): 1-32.
49. Ploug, T and Øhrstrøm P. (2011). Branching time, indeterminism and tense logic. Unveiling the Prior-Kripke letters. Synthese, doi: 10. 1007/s11229-011-9944-2.
50. Prior A. N. (1957) Time and modality. Oxford University Press, Oxford.
51. Prior A. N. (1962) Possible worlds. The Philosophical Quarterly 12(46): 36-43.
52. Russell B. (1908) Mathematical logic as based on the theory of types. American Journal of Mathematics 30(3): 222-262.
53. Saunders S. (2010) Chance in the Everett interpretation. In: Saunders S., Barrett J., Kent A., Wallace D. (eds) Many worlds? Everett, quantum theory, and reality. Oxford University Press, Oxford, pp 181-205.
54. Sellars, W. (1963). Philosophy and the scientific image of man. In Science, perception and reality (pp. 1-40). London: Routledge/Kegan Paul.
55. Thomason R. H. (1970) Indeterminist time and truth-value gaps. Theoria 36: 264-281.
56. Thomason, R. H. (1984). Combinations of tense and modality. In D. Gabbay, & G. Guenthner (Eds.), Handbook of philosophical logic, Vol. II: Extensions of classical logic, Vol. 165 of Synthese library, studies in epistemology (pp. 135-165). Dordrecht: D. Reidel Publishing Company.
57. van Inwagen P. (1993) Naive mereology, admissible valuations, and other matters. Noûs 27(2): 229-234.
58. von Wright G. H. (1963) Norm and action. A logical inquiry. Routledge, London.
59. Walton K. L. (1990) Mimesis as make-believe: On the foundations of the representational arts. Harvard University Press, Cambridge, MA.
60. Waring, R. S. (1882). Method of dividing and branching electric cables. Patent 268 324, Pittsburgh, 28 November 1882.
61. Weiner M., Belnap N. (2006) How causal probabilities might fit into our objectively indeterministic world. Synthese 149: 1-36.
62. Whitehead A. N., Russell B. (1910) Principia Mathematica. Cambridge University Press, Cambridge.
63. Wiggins D. (2001) Sameness and substance renewed. Cambridge University Press, Cambridge.
64. Wroński L., Placek T. (2009) On Minkowskian branching structures. Studies in History and Philosophy of Modern Physics 40: 251-258.
65. Xia Z. (1992) The existence of noncollision singularities in Newtonian systems. Annals of Mathematics 135(3): 411-468.
66. Zetie K. (1996) The strange case of the bumble-bee that flew. Physics World 9(10): 72.