Two Causal Theories of Counterfactual Conditionals

Bayes nets are formal representations of causal systems that many psychologists have claimed as plausible mental representations. One purported advantage of Bayes nets is that they may provide a theory of counterfactual conditionals, such as If Calvin had been at the party, Miriam would have left early. This article compares two proposed Bayes net theories as models of people's understanding of counterfactuals. Experiments 1-3 show that neither theory makes correct predictions about backtracking counterfactuals (in which the event of the if-clause occurs after the event of the then-clause), and Experiment 4 shows the same is true of forward counterfactuals. An amended version of one of the approaches, however, can provide a more accurate account of these data.

[1]  Joshua B. Tenenbaum,et al.  Inferring causal networks from observations and interventions , 2003, Cogn. Sci..

[2]  Denise Dellarosa Cummins,et al.  Naive theories and causal deduction , 1995, Memory & cognition.

[3]  G. Wells,et al.  Mental Simulation of Causality , 1989 .

[4]  N. Roese Counterfactual thinking. , 1997, Psychological bulletin.

[5]  S. D. ISARD WHAT WOULD YOU HAVE DONE IF... ? , 1974 .

[6]  Reasoning: Causal Thinking , 2008 .

[7]  Steven A. Sloman,et al.  Do We "do"? , 2005, Cogn. Sci..

[8]  Keith A. Markus,et al.  Making Things Happen: A Theory of Causal Explanation , 2007 .

[9]  J. Bennett A Philosophical Guide to Conditionals , 2003 .

[10]  Nils J. Nilsson,et al.  Principles of Artificial Intelligence , 1980, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  N. Cartwright Counterfactuals in Economics: A Commentary , 2007 .

[12]  Dorothy Edgington,et al.  Counterfactuals and the benefit of hindsight , 2006 .

[13]  J. Woodward Interventionist Theories of Causation in Psychological Perspective , 2007 .

[14]  G. Koch,et al.  Analysis of categorical data by linear models. , 1969, Biometrics.

[15]  David E. Over,et al.  Rethinking the model theory of conditionals , 2007 .

[16]  Kristian G. Olesen,et al.  HUGIN - a Shell for Building Belief Universes for Expert Systems , 1989, IJCAI 1989.

[17]  Michael R. Waldmann,et al.  Seeing versus doing: two modes of accessing causal knowledge. , 2005, Journal of experimental psychology. Learning, memory, and cognition.

[18]  David M. Sobel,et al.  A theory of causal learning in children: causal maps and Bayes nets. , 2004, Psychological review.

[19]  Lawrence W. Barsalou,et al.  Explanation Content and Construction During System Learning and Troubleshooting , 1995 .

[20]  R. Byrne Précis of The Rational Imagination: How People Create Alternatives to Reality , 2007, Behavioral and Brain Sciences.

[21]  D. Lewis Causation as Influence , 2000 .

[22]  Paul Noordhof,et al.  Cause and Chance: Causation in an Indeterministic World , 2003 .

[23]  Ned Hall Structural equations and causation , 2007 .

[24]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems , 1988 .

[25]  P. Tetlock,et al.  Theory- versus imagination-driven thinking about historical counterfactuals: are we prisoners of our preconceptions? , 2005 .

[26]  Barbara A. Spellman,et al.  When Possibility Informs Reality , 1999 .

[27]  Joseph Y. Halpern,et al.  Causes and Explanations: A Structural-Model Approach. Part I: Causes , 2000, The British Journal for the Philosophy of Science.

[28]  A. Dawid Counterfactuals, Hypotheticals and Potential Responses: A Philosophical Examination of Statistical Causality , 2006 .

[29]  John Collins Counterfactuals, Causation, and Preemption , 2007 .

[30]  D. Kahneman,et al.  Propensities and counterfactuals: The loser that almost won , 1990 .

[31]  David Lewis Counterfactual Dependence and Time's Arrow , 1979 .

[32]  Morteza Dehghani,et al.  Effects of Fact Mutability in the Interpretation of Counterfactuals , 2007 .

[33]  Robert Stalnaker A causal theory of counterfactuals , 2004 .

[34]  Illtyd Trethowan Causality , 1938 .

[35]  Lawrence Erlbaum,et al.  The Mental Models Theory of Reasoning: Refinements and Extensions , 2010 .

[36]  S. Iatridou The Grammatical Ingredients of Counterfactuality , 2000, Linguistic Inquiry.

[37]  Russell C. Burnett,et al.  Feature inference and the causal structure of categories , 2005, Cognitive Psychology.

[38]  T. Trabasso,et al.  Causal relatedness and importance of story events , 1985 .

[39]  Woo-kyoung Ahn,et al.  The Impact of Necessity and Sufficiency in the Wason Four-Card Selection Task , 1999 .