Counterlegal dependence and causation’s arrows: causal models for backtrackers and counterlegals

Synthese 194 (12):4983-5003 (2017)
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Abstract

A counterlegal is a counterfactual conditional containing an antecedent that is inconsistent with some set of laws. A backtracker is a counterfactual that tells us how things would be at a time earlier than that of its antecedent, were the antecedent to obtain. Typically, theories that evaluate counterlegals appropriately don’t evaluate backtrackers properly, and vice versa. Two cases in point: Lewis’ ordering semantics handles counterlegals well but not backtrackers. Hiddleston’s :632–657, 2005) causal-model semantics nicely handles backtrackers but not counterlegals. Taking Hiddleston’s account as a starting point, I offer steps toward a theory capable of handling both counterlegals and backtrackers. The core contribution of this paper is a means for evaluating counterlegals relative to minimally-illegal models.

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Tyrus Fisher
University of California, Davis

References found in this work

Causality: Models, Reasoning and Inference.Judea Pearl - 2000 - New York: Cambridge University Press.
Scorekeeping in a language game.David Lewis - 1979 - Journal of Philosophical Logic 8 (1):339--359.
Counterfactuals.David Lewis - 1973 - Tijdschrift Voor Filosofie 36 (3):602-605.

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