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Funny business in branching space-times: infinite modal correlations

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Abstract

The theory of branching space-times is designed as a rigorous framework for modelling indeterminism in a relativistically sound way. In that framework there is room for “funny business”, i.e., modal correlations such as occur through quantum-mechanical entanglement. This paper extends previous work by Belnap on notions of “funny business”. We provide two generalized definitions of “funny business”. Combinatorial funny business can be characterized as “absence of prima facie consistent scenarios”, while explanatory funny business characterizes situations in which no localized explanation of inconsistency can be given. These two definitions of funny business are proved to be equivalent, and we provide an example that shows them to be strictly more general than the previously available definitions of “funny business”.

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References

  • Belnap Nuel (1992). Branching space-time. Synthese 92, 385–434

    Article  Google Scholar 

  • Belnap Nuel (2002). EPR-like “funny business” in the theory of branching space-times. In Placek T., Butterfield J. (eds). Non-locality and modality. Dordrech, Kluwer, pp. 293–315

    Google Scholar 

  • Belnap Nuel (2003). No-common-cause EPR-like funny business in branching space-times. Philosophical Studies 114, 199–221

    Article  Google Scholar 

  • Belnap Nuel (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

    Article  Google Scholar 

  • Bub Jeffrey (1997). Interpreting the quantum world. Cambridge, Cambridge University Press

    Google Scholar 

  • Einstein Albert, Podolsky Boris, Rosen Nathan (1935). Can quantum-mechanical description of physical reality be considered complete?. Physical Review 47, 777–780

    Article  Google Scholar 

  • Greenberger Anton, Horn Mike, Zeilinger Anton (1989). Going beyond Bell’s theorem. In Kafatos M. (ed). Bell’s theorem, quantum theory, and conceptions of the Universe. Dordrecht, Kluwer, pp. 69–74

    Google Scholar 

  • Müller Thomas (2005). Probability and causation. A branching space-times analysis. British Journal for the Philosophy of Science 56, 487–520

    Article  Google Scholar 

  • Weiner Matthew, Belnap Nuel (2006). How causal probabilities might fit into our objectively indeterministic world. Synthese 149, 1–36

    Google Scholar 

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Correspondence to Thomas Müller.

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Müller, T., Belnap, N. & Kishida, K. Funny business in branching space-times: infinite modal correlations. Synthese 164, 141–159 (2008). https://doi.org/10.1007/s11229-007-9220-7

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  • DOI: https://doi.org/10.1007/s11229-007-9220-7

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