Alternatives to histories? : employing a local notion of modal consistency in branching theories

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Indeterminism Ltd. An intervention on the free will debate
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Erkenntnis. 2013, 79(S3), pp. 343-364. ISSN 0165-0106. eISSN 1572-8420. Available under: doi: 10.1007/s10670-013-9453-4
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Branching theories are popular frameworks for modeling objective indeterminism in the form of a future of open possibilities. In such theories, the notion of a history plays a crucial role: it is both a basic ingredient in the axiomatic definition of the framework, and it is used as a parameter of truth in semantics for languages with a future tense. Furthermore, histories—complete possible courses of events—ground the notion of modal consistency: a set of events is modally con- sistent iff there is a history containing that set. We will explain these roles of histories and highlight some critical aspects having to do with the fact that histories are global and, in a relevant sense, "big" objects. The notion of modal consistency, on the other hand, has both local and global aspects. We ask in how far a local notion of modal consistency can serve as an alternative to the common uses of histories, and work out two recent approaches to alternatives to histories. Com- bining these approaches, we develop a novel semantics for branching time.

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100 Philosophie
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Philosophy, Epistemology, Ontology, Ethics, Logic
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ISO 690MÜLLER, Thomas, 2013. Alternatives to histories? : employing a local notion of modal consistency in branching theories. In: Erkenntnis. 2013, 79(S3), pp. 343-364. ISSN 0165-0106. eISSN 1572-8420. Available under: doi: 10.1007/s10670-013-9453-4
BibTex
@article{Muller2013Alter-27100,
  year={2013},
  doi={10.1007/s10670-013-9453-4},
  title={Alternatives to histories? : employing a local notion of modal consistency in branching theories},
  number={S3},
  volume={79},
  issn={0165-0106},
  journal={Erkenntnis},
  pages={343--364},
  author={Müller, Thomas}
}
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