A Lewisian Logic of Causal Counterfactuals

Minds and Machines 23 (1):77-93 (2013)

Abstract

In the artificial intelligence literature a promising approach to counterfactual reasoning is to interpret counterfactual conditionals based on causal models. Different logics of such causal counterfactuals have been developed with respect to different classes of causal models. In this paper I characterize the class of causal models that are Lewisian in the sense that they validate the principles in Lewis’s well-known logic of counterfactuals. I then develop a system sound and complete with respect to this class. The resulting logic is the weakest logic of causal counterfactuals that respects Lewis’s principles, sits in between the logic developed by Galles and Pearl and the logic developed by Halpern, and stands to Galles and Pearl’s logic in the same fashion as Lewis’s stands to Stalnaker’s

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References found in this work

Counterfactuals.David Kellogg Lewis - 1973 - Cambridge, MA, USA: Blackwell.
Causality: Models, Reasoning and Inference.Judea Pearl - 2000 - Cambridge University Press.
Causality.Judea Pearl - 2000 - Cambridge University Press.

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Citations of this work

Embedding Causal Team Languages Into Predicate Logic.Fausto Barbero & Pietro Galliani - 2022 - Annals of Pure and Applied Logic 173 (10):103159.
From Causal Models to Counterfactual Structures.Joseph Y. Halpern - 2013 - Review of Symbolic Logic 6 (2):305-322.
What Should I Believe About What Would Have Been the Case?Franz Huber - 2015 - Journal of Philosophical Logic 44 (1):81-110.
Causal and Evidential Conditionals.Mario Günther - forthcoming - Minds and Machines:1-14.

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