RATIONAL EXPLANATION OF THE SELECTION TASK

M. Oaksford and N. Chater (O&C, see record 1995-08271-001) presented the first quantitative model of R C. Wason's (1966) selection task in which performance is rational. J. St. B. T. Evans and D. E. Over (see record 83:25190) reply that O&C's account is normatively incorrect and cannot model K. N. Kirby's (see record 1995-04302-001) or R Pollard and J. St. B. T. Evans's (see record 1984-30572-001) data. It is argued that an equivalent measure satisfies their normative concerns and that a modification of O&C's model accounts for their empirical concerns. D. Laming (see record 83:25220) argues that O&C made unjustifiable psychological assumptions and that a "correct" Bayesian analysis agrees with logic. It is argued that O&C's model makes normative and psychological sense and that Laming's analysis is not Bayesian. A. Almor and S. A. Sloman (see record 83:25168) argue that O&C cannot explain their data. It is argued that Almor and Sloman's data do not bear on O&C's model because they alter the nature of the task. It is concluded that O&C's model remains the most compelling and comprehensive account of the selection task.

[1]  N. Chater,et al.  Against Logicist Cognitive Science , 1991 .

[2]  L. Cosmides The logic of social exchange: Has natural selection shaped how humans reason? Studies with the Wason selection task , 1989, Cognition.

[3]  I. Good Weight of Evidence, Corroboration, Explanatory Power, Information and the Utility of Experiments , 1960 .

[4]  B. Foss New Horizons in Psychology 1 , 1966 .

[5]  N. Chater,et al.  Bounded Rationality in Taking Risks and Drawing Inferences , 1992 .

[6]  P. Horwich Probability and Evidence , 1972 .

[7]  Willard Van Orman Quine,et al.  Methods of Logic , 1951 .

[8]  P. Harris Development of search and object permanence during infancy. , 1975, Psychological bulletin.

[9]  Nick Chater,et al.  Information gain explains relevance which explains the selection task , 1995, Cognition.

[10]  J. Klayman,et al.  Confirmation, Disconfirmation, and Informa-tion in Hypothesis Testing , 1987 .

[11]  Henry E. Kyburg,et al.  Studies in Subjective Probability , 1965 .

[12]  Jonathan Evans,et al.  Rationality in the selection task: Epistemic utility versus uncertainty reduction. , 1996 .

[13]  N. Chater,et al.  Logicism, Mental Models and Everyday Reasoning : Reply to Garnham , 1993 .

[14]  P. Pollard,et al.  Nonindependence of selections on the Wason selection task , 1985 .

[15]  David E. Over,et al.  Reasoning and Rationality , 1987 .

[16]  David J. C. MacKay,et al.  Information-Based Objective Functions for Active Data Selection , 1992, Neural Computation.

[17]  D. E. Over,et al.  Social roles and utilities in reasoning with deontic conditionals , 1991, Cognition.

[18]  M. Oaksford Mental models and the tractability of everyday reasoning , 1993 .

[19]  John R. Anderson Is human cognition adaptive? , 1991, Behavioral and Brain Sciences.

[20]  D. E. Over,et al.  Reasoning, decision making and rationality , 1993, Cognition.

[21]  J. S. Evans,et al.  Bias and rationality. , 1993 .

[22]  K. Kirby,et al.  Probabilities and utilities of fictional outcomes in Wason's four-card selection task , 1994, Cognition.

[23]  Nick Chater,et al.  Mental models and non-monotonic reasoning , 1993 .

[24]  Keith Stenning,et al.  Reasoning theories and bounded rationality , 1993 .

[25]  P C Wason,et al.  Regression in reasoning? , 1969, British journal of psychology.

[26]  A. Garnham,et al.  Thinking and Reasoning , 1994 .

[27]  David W. Green,et al.  The locus of facilitation in the abstract selection task , 1995 .

[28]  Richard Von Mises,et al.  Probability, statistics and truth , 1939 .

[29]  T. Trabasso,et al.  Transitive Inferences and Memory in Young Children , 1971, Nature.

[30]  G. Gigerenzer,et al.  Cognition as Intuitive Statistics , 1987 .

[31]  D. Sperber,et al.  Relevance theory explains the selection task , 1995, Cognition.

[32]  Philip N. Johnson-Laird,et al.  How implication is understood. , 1969 .

[33]  David Lindley,et al.  Bayesian Statistics, a Review , 1987 .

[34]  R. T. Cox Probability, frequency and reasonable expectation , 1990 .

[35]  W. J. Studden,et al.  Theory Of Optimal Experiments , 1972 .

[36]  N. Goodman Fact, Fiction, and Forecast , 1955 .

[37]  M. Bornstein,et al.  Development in Infancy , 1982 .

[38]  Richard D. Platt,et al.  Facilitation and matching bias in the abstract selection task , 1995 .

[39]  N. Chater,et al.  Autonomy, implementation and cognitive architecture: A reply to Fodor and Pylyshyn , 1990, Cognition.

[40]  G. Gigerenzer,et al.  Domain-specific reasoning: Social contracts, cheating, and perspective change , 1992, Cognition.

[41]  Willard Van Orman Quine,et al.  Methods of Logic , 1951 .

[42]  John R. Anderson The Adaptive Character of Thought , 1990 .

[43]  P. Johnson-Laird,et al.  A CONFLICT BETWEEN SELECTING AND EVALUATING INFORMATION IN AN INFERENTIAL TASK , 1970 .

[44]  Simon R. Blackburn,et al.  Mind and Language , 1976 .

[45]  K. Kirby,et al.  False alarm: a reply to Over and Evans , 1994, Cognition.

[46]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[47]  P. Wason On the Failure to Eliminate Hypotheses in a Conceptual Task , 1960 .

[48]  P C Wason,et al.  Reasoning about a Rule , 1968, The Quarterly journal of experimental psychology.

[49]  Nick Chater,et al.  Theories of reasoning and the computational explanation of everyday inference , 1995 .

[50]  K. Manktelow,et al.  Facilitation of reasoning by realism: Effect or non‐effect? , 1979 .

[51]  HighWire Press Philosophical Transactions of the Royal Society of London , 1781, The London Medical Journal.

[52]  M. Oaksford,et al.  Reasoning with conditionals containing negated constituents. , 1992 .

[53]  E. S. Pearson,et al.  ON THE USE AND INTERPRETATION OF CERTAIN TEST CRITERIA FOR PURPOSES OF STATISTICAL INFERENCE PART I , 1928 .

[54]  M. Birnbaum Base Rates in Bayesian Inference: Signal Detection Analysis of the Cab Problem , 1983 .

[55]  S. E. Newstead,et al.  Language and reasoning: a study of temporal factors , 1977, Cognition.

[56]  J. S. Evans,et al.  Matching bias in the selection task. , 1973 .

[57]  Keith J Holyoak,et al.  Pragmatic reasoning schemas , 1985, Cognitive Psychology.

[58]  J. L. Mackie,et al.  THE PARADOX OF CONFIRMATION* , 1963, The British Journal for the Philosophy of Science.

[59]  J. Berger Statistical Decision Theory and Bayesian Analysis , 1988 .

[60]  R. Fisher,et al.  On the Mathematical Foundations of Theoretical Statistics , 1922 .

[61]  R. A. Leibler,et al.  On Information and Sufficiency , 1951 .

[62]  P. Pollard,et al.  The effect of experimentally contrived experience on reasoning performance , 1983 .

[63]  J. S. Evans,et al.  Interpretation and Matching Bias in a Reasoning Task , 1972 .

[64]  Richard A. Griggs,et al.  Facilitation in the Abstract Selection Task: The Effects of Attentional and Instructional Factors , 1993 .

[65]  B. D. Finetti,et al.  Foresight: Its Logical Laws, Its Subjective Sources , 1992 .

[66]  Philip N. Johnson-Laird,et al.  Quarterly Journal of Experimental Psychology Insight into a Logical Relation Insight into a Logical Relation , 2022 .

[67]  Margaret C. Donaldson Children's Minds , 1978 .

[68]  B. M. Hill,et al.  Bayesian Inference in Statistical Analysis , 1974 .

[69]  Amit Almor,et al.  Is deontic reasoning special , 1996 .

[70]  John R. Anderson,et al.  Rules of the Mind , 1993 .

[71]  J Baron,et al.  Confirmation and Matching Biases in Hypothesis Testing , 1988, The Quarterly journal of experimental psychology. A, Human experimental psychology.

[72]  K. Popper,et al.  The Logic of Scientific Discovery , 1960 .

[73]  S. Luttrell The use of transinformation in the design of data sampling schemes for inverse problems , 1985 .

[74]  David W. Green,et al.  Externalization, Counter-examples, and the Abstract Selection Task , 1995 .

[75]  J. Keynes A Treatise on Probability. , 1923 .

[76]  Nick Chater,et al.  A rational analysis of the selection task as optimal data selection. , 1994 .

[77]  J. Smedslund,et al.  CIRCULAR RELATION BETWEEN UNDERSTANDING AND LOGIC , 1970 .

[78]  D. Laming On the analysis of irrational data selection: A critique of Oaksford and Chater (1994). , 1996 .

[79]  Gerd Gigerenzer,et al.  Presentation and content: The use of base rates as a continuous variable. , 1988 .

[80]  D. Lindley On a Measure of the Information Provided by an Experiment , 1956 .