From causal models to counterfactual structures

Review of Symbolic Logic 6 (2):305-322 (2013)
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Abstract

Galles & Pearl (l998) claimed that s [possible-worlds] framework.s framework. Recursive models are shown to correspond precisely to a subclass of (possible-world) counterfactual structures. On the other hand, a slight generalization of recursive models, models where all equations have unique solutions, is shown to be incomparable in expressive power to counterfactual structures, despite the fact that the Galles and Pearl arguments should apply to them as well. The problem with the Galles and Pearl argument is identified: an axiom that they viewed as irrelevant, because it involved disjunction (which was not in their language), is not irrelevant at all

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Joseph Y. Halpern
Cornell University

References found in this work

A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
Causes and explanations: A structural-model approach. Part I: Causes.Joseph Y. Halpern & Judea Pearl - 2005 - British Journal for the Philosophy of Science 56 (4):843-887.
Causality: Models, reasoning and inference.Christopher Hitchcock - 2001 - Philosophical Review 110 (4):639-641.
Basic conditional logic.Brian F. Chellas - 1975 - Journal of Philosophical Logic 4 (2):133 - 153.

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