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Against All Odds: When Logic Meets Probability

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ModelEd, TestEd, TrustEd

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 10500))

Abstract

This paper is a light walk along interfaces between logic and probability, triggered by a chance encounter with Ed Brinksma. It is not a research paper, or a literature survey, but a pointer to issues. I discuss both direct combinations of logic and probability and structured ways in which logic can be seen as a qualitative version of probability theory. I end by sketching a concrete program for classifying qualitative scenarios that would lend themselves to simple logical reasoning methods, but I also acknowledge a challenge: the ‘unreasonable effective of probability’.

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Acknowledgment

I thank Thomas Icard and two referees for helpful comments.

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Authors and Affiliations

  1. Institute for Logic, Language and Computation, University of Amsterdam, Amsterdam, The Netherlands

    Johan van Benthem

  2. Department of Philosophy, Stanford University, Stanford, USA

    Johan van Benthem

  3. Changjiang Professors Program, Tsinghua University, Beijing, China

    Johan van Benthem

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  1. Johan van Benthem
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Correspondence to Johan van Benthem .

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Editors and Affiliations

  1. RWTH Aachen University, Aachen, Germany

    Joost-Pieter Katoen

  2. University of Twente, Enschede, The Netherlands

    Rom Langerak

  3. University of Twente, Enschede, The Netherlands

    Arend Rensink

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van Benthem, J. (2017). Against All Odds: When Logic Meets Probability. In: Katoen, JP., Langerak, R., Rensink, A. (eds) ModelEd, TestEd, TrustEd. Lecture Notes in Computer Science(), vol 10500. Springer, Cham. https://doi.org/10.1007/978-3-319-68270-9_12

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  • DOI: https://doi.org/10.1007/978-3-319-68270-9_12

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68269-3

  • Online ISBN: 978-3-319-68270-9

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