Skip to main content Accessibility help
×
Hostname: page-component-8448b6f56d-sxzjt Total loading time: 0 Render date: 2024-04-24T16:49:03.363Z Has data issue: false hasContentIssue false

20 - Human Reasoning and Argumentation: The Probabilistic Approach

Published online by Cambridge University Press:  05 June 2012

Mike Oaksford
Affiliation:
Birkbeck College
Nick Chater
Affiliation:
University College London
Ulrike Hahn
Affiliation:
Cardiff University
Jonathan E. Adler
Affiliation:
Brooklyn College, City University of New York
Lance J. Rips
Affiliation:
Northwestern University, Illinois
Get access

Summary

When compared to standard logic, research in the psychology of deductive reasoning has found that people make large and systematic (i.e., non-random) errors (Manktelow 1999), which suggests that humans may be irrational (Stein 1996; Stich 1985). However, the probabilistic approach argues against this interpretation. Rather than view this behaviour as errorful, it is argued that performance may have been compared to the wrong normative standard. When compared to probability theory rather than logic, participants' reasoning may be seen in a more positive light.

The probabilistic approach contrasts with mental logic (e.g., Rips 1994) and mental model theories (e.g. Johnson-Laird and Byrne 1991) which both argue that systematic deviations from logic represent unavoidable performance errors. In both theories working memory limitations restrict people's reasoning abilities. These approaches are hard to reconcile with the high error rates seen in some tasks, for example, up to 96 percent in Wason's selection task, and the fact that everyday thought and action seems to be highly successful. How can this success be understood if peoples' reasoning system is prone to so much error? The probabilistic approach resolves this problem by adopting a different normative theory (Oaksford and Chater 1998b; Stanovich and West 2000) and by considering the role of the environment in reasoning (Anderson 1990, 1991; Chater and Oaksford 1999b; Oaksford and Chater 1998a).

Type
Chapter
Information
Reasoning
Studies of Human Inference and its Foundations
, pp. 383 - 413
Publisher: Cambridge University Press
Print publication year: 2008

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adams, E. W. (1966). Probability and the logic of conditionals. In Hintikka, J. and Suppes, P. (Eds.) Aspects of inductive logic. Amsterdam: North Holland.Google Scholar
Adams, E. W. (1975). The logic of conditionals: An application of probability theory to deductive logic. Dordrecht: Reidel.CrossRefGoogle Scholar
Adams, E. W. (1998). A primer of probability logic. Stanford, CA: CSLI Publications.Google Scholar
Almor, A., and Sloman, S. A. (1996). Is deontic reasoning special?Psychological Review, 103, 374–380.CrossRefGoogle Scholar
Anderson, J. R. (1990). The adaptive character of thought. Hillsdale, NJ: LEA.Google Scholar
Anderson, J. R. (1991). Is human cognition adaptive?Behavioral and Brain Sciences, 14, 471–517.CrossRefGoogle Scholar
Anderson, J. R. (1995). Cognitive psychology and its implications. New York: W. H. Freeman and Company.Google Scholar
Anderson, J. R., and Sheu, C. F. (1995). Causal inferences as perceptual judgments. Memory & Cognition, 23, 510–524.CrossRefGoogle Scholar
Baron, J. (1981). An analysis of confirmation bias. Paper presented at 1981 Psychonomic Society meeting.Google Scholar
Baron, J. (1985). Rationality and Intelligence. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Bennett, J. (2003). A philosophical guide to conditionals. Oxford: Oxford University Press.CrossRefGoogle Scholar
Bonnefon, J.-F. (2004). Reinstatement, floating conclusions, and the credulity of mental model reasoning. Cognitive Science, 28, 621–631.CrossRefGoogle Scholar
Bonnefon, J. F., and Hilton, D. J. (2004). Consequential conditionals: Invited and suppressed inferences from valued outcomes. Journal of Experimental Psychology: Learning, Memory, and Cognition, 30, 28–37.Google ScholarPubMed
Bovens, L., and Hartmann, S. (2003). Bayesian epistemology. Oxford: Oxford University Press.Google Scholar
Braine, M. D. S., and Brien, O' D. P. (1998). Mental logic. London: Lawrence Erlbaum.Google Scholar
Byrne, R. M. J. (1989). Suppressing valid inferences with conditionals. Cognition, 31, 1–21.CrossRefGoogle ScholarPubMed
Chan, D., and Chua, F. (1994). Suppression of valid inferences: Syntactic views, mental models, and relative salience. Cognition, 53, 217–238.CrossRefGoogle ScholarPubMed
Chater, N., and Oaksford, M. (1993). Logicism, mental models and everyday reasoning. Mind and Language, 8, 72–89.CrossRefGoogle Scholar
Chater, N., and Oaksford, M. (1999a). The probability heuristics model of syllogistic reasoning. Cognitive Psychology, 38, 191–258.CrossRefGoogle Scholar
Chater, N., and Oaksford, M. (1999b). Ten years of the rational analysis of cognition. Trends in Cognitive Sciences, 3, 57–65.CrossRefGoogle Scholar
Chater, N., and Oaksford, M. (1999c). Information gain vs. decision-theoretic approaches to data selection: Response to Klauer. Psychological Review, 106, 223–227.CrossRefGoogle Scholar
Clark, K. L. (1978). Negation as failure. In Gallaire, H. and Minker, J. (Eds.), Logic and databases (pp. 293–322). New York: Plenum Press.Google Scholar
Copeland, D. E., and Radvansky, G. A. (2004). Working memory and syllogistic reasoning. Quarterly Journal of Experimental Psychology, 57A, 1437–1457.CrossRefGoogle Scholar
Cover, T. M., and Thomas, J. A. (1991). Elements of information theory. New York: John Wiley and Sons.CrossRefGoogle Scholar
Cummins, D. D. (1995). Naïve theories and causal deduction. Memory & Cognition, 23, 646–658.CrossRefGoogle ScholarPubMed
Cummins, D. D., Lubart, T., Alksnis, O., and Rist, R. (1991). Conditional reasoning and causation. Memory & Cognition, 19, 274–282.CrossRefGoogle ScholarPubMed
Dickstein, L. S. (1978). The effect of figure on syllogistic reasoning. Memory and Cognition, 6, 76–83.CrossRefGoogle Scholar
Earman, J. (1992). Bayes or bust?Cambridge, MA: MIT Press.Google Scholar
Edgington, D. (1991). The matter of the missing matter of fact. Proceedings of the Aristotelian Society, Suppl. Vol. 65, 185–209.Google Scholar
Eemeren, F. H., and Grootendorst, R. (1992). Argumentation, communication, and fallacies. Hillsdale, NJ: Lawrence Erlbaum.Google Scholar
Espino, O., Santamaria, C., and Garcia-Madruga, J. A. (2000). Activation of end-terms in syllogistic reasoning. Thinking and Reasoning, 6, 67–89.CrossRefGoogle Scholar
Evans, J. St. B. T. (1977). Linguistic factors in reasoning. Quarterly Journal of Experimental Psychology, 29, 297–306.CrossRefGoogle Scholar
Evans, J. St. B. T. (1983). Linguistic determinants of bias in conditional reasoning. Quarterly Journal of Experimental Psychology, 35, 635–644.CrossRefGoogle Scholar
Evans, J. St. B. T. (1984). Heuristic and analytic processes in reasoning. British Journal of Psychology, 75, 451–468.CrossRefGoogle Scholar
Evans, J. St. B. T. (1989). Bias in human reasoning: Causes and consequences. Hillsdale, NJ: Erlbaum.Google Scholar
Evans, J. St. B. T. (1998). Matching bias in conditional reasoning: Do we understand it after 25 years?Thinking and Reasoning, 4, 45–82.CrossRefGoogle Scholar
Evans, J. St. B. T., Clibbens, J., and Rood, B. (1995). Bias in conditional inference: Implications for mental models and mental logic. Quarterly Journal of Experimental Psychology, 48A, 644–670.CrossRefGoogle Scholar
Evans, J. St. B. T., and Handley, S. J. (1999). The role of negation in conditional inference. Quarterly Journal of Experimental Psychology, 52, 739–770.CrossRefGoogle Scholar
Evans, J. St. B. T., Handley, S. J., Harper, C. N. J., and Johnson-Laird, P. N. (1999). Reasoning about necessity and possibility: A test of the mental model theory of deduction. Journal of Experimental Psychology: Learning, Memory, and Cognition, 25, 1495–1513.Google Scholar
Evans, J. St. B. T., Handley, S. J., and Over, D. E. (2003). Conditionals and conditional probability. Journal of Experimental Psychology: Learning, Memory, & Cognition, 29, 321–335.Google ScholarPubMed
Evans, J. St. B. T., and Lynch, J. S. (1973). Matching bias in the selection task. British Journal of Psychology, 64, 391–397.CrossRefGoogle Scholar
Evans, J. St. B. T., Newstead, S. E., and Byrne, R. M. J. (1993). Human Reasoning. Hillsdale, N.J.: Lawrence Erlbaum Associates.Google Scholar
Evans, J. St. B. T., and Over, D. E. (1996). Rationality in the selection task: Epistemic utility versus uncertainty reduction. Psychological Review, 103, 356–363.CrossRefGoogle Scholar
Evans, J. St. B. T., and Over, D. (1996). Rationality and reasoning. Hove, Sussex: Psychology Press.Google Scholar
Evans, J. St. B. T., and Over, D. E. (2004). If.Oxford: Oxford University Press.CrossRefGoogle Scholar
Feeney, A., and Handley, S. J. (2000). The suppression of q card selections: Evidence for deductive inference in Wason's selection task. Quarterly Journal of Experimental Psychology, 53, 1224–1242.CrossRefGoogle ScholarPubMed
Feeney, A., Handley, S. J., and Kentridge, R. (2003). Deciding between accounts of the selection task: A reply to Oaksford (2002). Quarterly Journal of Experimental Psychology, 56, 1079–1088.CrossRefGoogle Scholar
Fodor, J. A. (1987). Psychosemantics: The problem of meaning in the philosophy of mind. Cambridge, MA: MIT Press.Google Scholar
Gebauer, G., and Laming, D. (1997). Rational choices in Wason's selection task. Psychological Research, 60, 284–293.CrossRefGoogle Scholar
George, C. (1997). Reasoning from uncertain premises. Thinking and Reasoning, 3, 161–190.CrossRefGoogle Scholar
George, C. (1999). Evaluation of the plausibility of a conclusion from several arguments with uncertain premises. Thinking and Reasoning, 5, 245–281.CrossRefGoogle Scholar
Green,, D. W., and Over, D. E. (1997). Causal inference, contingency tables and the selection task. Current Psychology of Cognition, 16, 459–487.Google Scholar
Green,, D. W., and Over, D. E. (1998). Reaching a decision: A reply to Oaksford. Thinking and Reasoning, 4, 231–248.CrossRefGoogle Scholar
Green,, D. W., and Over, D. E. (2000). Decision theoretical effects in testing a causal conditional. Current Psychology of Cognition, 19, 51–68.Google Scholar
Green,, D. W., Over, D. E., and Pyne, R. A. (1997). Probability and choice in the selection task. Thinking and Reasoning, 3, 209–236.CrossRefGoogle Scholar
Hahn, U., and Oaksford, M. (2006). A Bayesian approach to informal argument fallacies. Synthese, 152, 207–236.CrossRefGoogle Scholar
Hahn, U., and Oaksford, M. (2007). The rationality of informal argumentation: A Bayesion approach to reasoning fallacies. Psychological Review, 114, 704–732.Google ScholarPubMed
Hahn, U., Oaksford, M., and Bayindir, H. (2005). How convinced should we be by negative evidence? In Bara, B., Barsalou, L., and Bucciarelli, M. (Eds.), Proceedings of the 27th Annual Conference of the Cognitive Science Society (pp. 887–892), Mahwah, N.J.: Lawrence Erlbaum Associates.Google Scholar
Hahn, U., Oaksford, M., and Corner, A. (2005). Circular arguments, begging the question and the formalization of argument strength. In Russell, A., Honkela, T., Lagus, K., and Pöllä, M. (Eds.), Proceedings of AMKLC'05, International Symposium on Adaptive Models of Knowledge, Language and Cognition (pp. 34–40), Espoo, Finland, June 2005.Google Scholar
Hamblin, C. L. (1970). Fallacies. London: Methuen.Google Scholar
Handley, S. J., Feeney, A., and Harper, C. (2002). Alternative antecedents, probabilities, and the suppression of inference in Wason's selection task. Quarterly Journal of Experimental Psychology, 55, 799–818.CrossRefGoogle Scholar
Hardman, D. (1998). Does reasoning occur on the selection task: A comparison of relevance-based theories. Thinking and Reasoning, 4, 353–376.CrossRefGoogle Scholar
Hattori, M. (1999). The effects of probabilistic information in Wason's selection task: An analysis of strategy based on the ODS model. Procceedings of the 16th Annual Meeting of the Japanese Cognitive Science Society, 16, 623–626.Google Scholar
Hattori, M. (2002). A quantitative model of optimal data selection in Wason's selection task. Quarterly Journal of Experimental Psychology, 55A, 1241–1272.CrossRefGoogle Scholar
Howson, C., and Urbach, P. (1989). Scientific reasoning: The Bayesian approach. La Salle, IL: Open Court.Google Scholar
Johnson-Laird, P. N., and Bara, B. G. (1984). Syllogistic inference. Cognition, 16, 1–62.CrossRefGoogle ScholarPubMed
Johnson-Laird, P. N., and Byrne, R. M. J. (1991). Deduction. Hillsdale, NJ: Erlbaum.Google Scholar
Johnson-Laird, P. N., and Byrne, R. M. J. (2002). Conditionals: A theory of meaning, pragmatics, and inference. Psychological Review, 109, 646–678.CrossRefGoogle ScholarPubMed
Johnson-Laird, P. N., and Steedman, M. (1978). The psychology of syllogisms. Cognitive Psychology, 10, 64–99.CrossRefGoogle Scholar
Johnson-Laird, P. N., and Tagart, J. (1969). How implication is understood. American Journal of Psychology, 82, 367–373.CrossRefGoogle Scholar
Klauer, K. C. (1999). On the normative justification for information gain in Wason's selection task. Psychological Review, 106, 215–222.CrossRefGoogle Scholar
Klauer, K. C., Musch, J., and Naumer, B. (2000). On belief bias in syllogistic reasoning. Psychological Review, 107, 852–894.CrossRefGoogle ScholarPubMed
Laming, D. (1996). On the analysis of irrational data selection: A critique of Oaksford and Chater (1994). Psychological Review, 103, 364–373.CrossRefGoogle Scholar
Liu, I. M. (2003). Conditional reasoning and conditionalisation. Journal of Experimental Psychology: Learning, Memory & Cognition, 29, 694–709.Google Scholar
Liu, I., Lo, K., and Wu, J. (1996). A probabilistic interpretation of “If-then.”Quarterly Journal of Experimental Psychology, 49A, 828–844.Google Scholar
Lucas, E. J., and Ball, L. J. (2005). Think-aloud protocols and the selection task: Evidence for relevance effects and rationalisation processes. Thinking and Reasoning, 11, 35–66.CrossRefGoogle Scholar
Mackie, J. L. (1963). The paradox of confirmation. British Journal for the Philosophy of Science, 38, 265–277.CrossRefGoogle Scholar
Manktelow, K. (1999). Reasoning and thinking. Hove, Sussex: Psychology Press.Google Scholar
Manktelow, K. I., Sutherland, E. J., and Over, D. E. (1995). Probabilistic factors in deontic reasoning. Thinking and Reasoning, 1, 201–220.CrossRefGoogle Scholar
Markovits, H., and Barrouillet, P. (2002). The development of conditional reasoning: A mental model account. Developmental Review, 22, 5–36.CrossRefGoogle Scholar
Markovits, H., Fleury, M.-L., Quinn, S., and Venet, M. (1998). The development of conditional reasoning and the structure of semantic memory. Child Development, 64, 742–755.CrossRefGoogle Scholar
Markovits, H., and Quinn, S. (2002). Efficiency of retrieval correlates with “logical” reasoning from causal conditional premises. Memory and Cognition, 30, 696–706.CrossRefGoogle ScholarPubMed
McClelland, J. L. (1998). Connectionist models and Bayesian inference. In Oaksford, M. and Chater, N. (Eds.), Rational models of cognition (pp. 21–53). Oxford: Oxford University Press.Google Scholar
McKenzie, C. R. M., and Mikkelsen, L. A. (2000). The psychological side of Hempel's paradox of confirmation. Psychonomic Bulletin & Review, 7, 360–366.CrossRefGoogle ScholarPubMed
McKenzie, C. R. M., and Mikkelsen, L. A. (in press). A Bayesian view of covariation assessment. Cognitive Psychology.Google Scholar
McKenzie, C. R. M., Ferreira, V. S., Mikkelsen, L. A., McDermott, K. J., and Skrable, R. P. (2001). Do conditional statements target rare events?Organizational Behavior & Human Decision Processes, 85, 291–309.CrossRefGoogle Scholar
McKenzie, C. R. M. (2005). Judgment and decision making. In Lamberts, K. and Goldstone, R. L. (Eds.), Handbook of cognition (pp. 321–338). London: Sage.Google Scholar
Moshman, D., and Geil, M. (1998). Collaborative reasoning: Evidence for collective rationality. Thinking and Reasoning, 4, 231–248.Google Scholar
Moxey, L., and Sanford, A. (1987). Quantifiers and focus. Journal of Semantics, 5, 189–206.CrossRefGoogle Scholar
Moxey, L., and Sanford, A. (1993). Communicating quantities. Hove, England: Erlbaum.Google Scholar
Nelson, J. (in press). Finding useful questions: On Bayesian diagnosticity, probability, impact, and information gain. Psychological Review.Google Scholar
Newstead, S. E., Handley, S. J., and Buck, E. (1999). Falsifying mental models: Testing the predictions of theories of syllogistic reasoning. Memory & Cognition, 27, 344–354.CrossRefGoogle ScholarPubMed
Nickerson, R. S. (1996). Hempel's paradox and Wason's selection task: Logical and psychological puzzles of confirmation. Thinking and Reasoning, 2, 1–32.CrossRefGoogle Scholar
Oaksford, M. (2001). Language processing, activation and reasoning: A reply to Espino, Santamaria & Garcia-Madruga. Thinking & Reasoning, 7, 205–208.CrossRefGoogle Scholar
Oaksford, M. (2002a). Contrast classes and matching bias as explanations of the effects of negation on conditional reasoning. Thinking & Reasoning, 8, 135–151.CrossRefGoogle Scholar
Oaksford, M. (2002b). Predicting the results of reasoning experiments: Reply to Feeney and Handley. Quarterly Journal of Experimental Psychology, 55A, 793–798.CrossRefGoogle Scholar
Oaksford, M. (2004, August). Conditional inference and constraint satisfaction: Reconciling probabilistic and mental models approaches? Paper presented at the 5th International Conference on Thinking, University of Leuven, Leuven, Belgium.Google Scholar
Oaksford, M., and Chater, N. (1991). Against logicist cognitive science. Mind & Language, 6, 1–38.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (1992). Bounded rationality in taking risks and drawing inferences. Theory & Psychology, 2, 225–230.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (1993). Reasoning theories and bounded rationality. In Manktelow, K. I., and Over, D. E. (Eds.), Rationality (pp. 31–60). London: Routledge.Google Scholar
Oaksford, M., and Chater, N. (1994). A rational analysis of the selection task as optimal data selection. Psychological Review, 101, 608–631.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (1995). Theories of reasoning and the computational explanation of everyday inference. Thinking and Reasoning, 1, 121–152.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (1995). Information gain explains relevance which explains the selection task. Cognition, 57, 97–108.CrossRefGoogle ScholarPubMed
Oaksford, M., and Chater, N. (1996). Rational explanation of the selection task. Psychological Review, 103, 381–391.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (1998a) (Eds.). Rational models of cognition.Oxford: Oxford University Press.Google Scholar
Oaksford, M., and Chater, N. (1998b). Rationality in an uncertain world: Essays on the cognitive science of human reasoning. Hove, Sussex: Psychology Press.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (1998c). A revised rational analysis of the selection task: Exceptions and sequential sampling. In Oaksford, M., and Chater, N. (Eds.), Rational models of cognition (pp. 372–398). Oxford: Oxford University Press.Google Scholar
Oaksford, M., and Chater, N. (2001). The probabilistic approach to human reasoning. Trends in Cognitive Sciences, 5, 349–357.CrossRefGoogle ScholarPubMed
Oaksford, M., and Chater, N. (2003a). Computational levels and conditional reasoning: Reply to Schroyens and Schaeken (2003). Journal of Experimental Psychology: Learning, Memory & Cognition, 29, 150–156.Google Scholar
Oaksford, M., and Chater, N. (2003b). Conditional probability and the cognitive science of conditional reasoning. Mind & Language, 18, 359–379.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (2003c). Modeling probabilistic effects in conditional inference: Validating search or conditional probability?Revista Psychologica, 32, 217–242.Google Scholar
Oaksford, M., and Chater, N. (2003d). Probabilities and pragmatics in conditional inference: Suppression and order effects. In Hardman, D., and Macchi, L. (Eds.), Thinking: Psychological perspectives on reasoning, judgment and decision making (pp. 95–122). Chichester, UK: John Wiley & Sons.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (2003e). Optimal data selection: Revision, review and reevaluation. Psychonomic Bulletin & Review, 10, 289–318.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (2007). Bayesion rationality: The probabilistic approach to human reasoning.Oxford: Oxford University Press.CrossRefGoogle Scholar
Oaksford, M., and Chater, N. (2008). Probability logic and the modus ponens – modus tollens asymmetry in conditional inference. In Chater, N., & Oaksford, M. (Eds.), The Probabilistic mind (pp. 97–120). Oxford, UK: Oxford University Press.Google Scholar
Oaksford, M., Chater, N., and Grainger, B. (1999). Probabilistic effects in data selection. Thinking and Reasoning, 5, 193–243.CrossRefGoogle Scholar
Oaksford, M., Chater, N., Grainger, B., and Larkin, J. (1997). Optimal data selection in the reduced array selection task (RAST). Journal of Experimental Psychology: Learning, Memory and Cognition, 23, 441–458.Google Scholar
Oaksford, M., Chater, N., and Larkin, J. (2000). Probabilities and polarity biases in conditional inference. Journal of Experimental Psychology: Learning, Memory & Cognition, 26, 883–899.Google ScholarPubMed
Oaksford, M., and Hahn, U. (2004). A Bayesian approach to the argument from ignorance. Canadian Journal of Experimental Psychology, 58, 75–85.CrossRefGoogle ScholarPubMed
Oaksford, M., and Hahn, U. (2007). Induction, deduction and argument strength in human reasoning and argumentation. In Feeney, A., and Heit, E. (Eds.), Inductive Reasoning (pp. 269–301), Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Oaksford, M., and Moussakowski, M. (2004). Negations and natural sampling in data selection: Ecological vs. heuristic explanations of matching bias. Memory & Cognition, 32, 570–581.CrossRefGoogle Scholar
Oaksford, M., Roberts, L., and Chater, N. (2002). Relative informativeness of quantifiers used in syllogistic reasoning. Memory & Cognition, 30, 138–149.CrossRefGoogle ScholarPubMed
Oaksford, M., and Stenning, K. (1992). Reasoning with conditionals containing negated constituents. Journal of Experimental Psychology: Learning, Memory & Cognition, 18, 835–854.Google ScholarPubMed
Oaksford, M., and Wakefield, M. (2003). Data selection and natural sampling: Probabilities do matter. Memory & Cognition, 31, 143–154.CrossRefGoogle ScholarPubMed
Oberauer, K., and Wilhelm, O. (2003). The meaning of conditionals: Conditional probabilities, mental models, and personal utilities. Journal of Experimental Psychology: Learning, Memory, & Cognition, 29, 321–335.Google ScholarPubMed
Oberauer, K., Weidenfeld, A., Hörnig, R. (2004). Logical reasoning and probabilities: A comprehensive test of Oaksford and Chater (2001). Psychonomic Bulletin and Review, 11, 521–527.CrossRefGoogle Scholar
Oberauer, K., Wilhelm, O., & Dias, R.. (1999). Bayesian rationality for the Wason selection task? A test of optimal data selection theory. Thinking and Reasoning, 5, 115–144.CrossRefGoogle Scholar
Ohm, E., and Thompson, V. (in press). Conditional probability and pragmatic conditionals: Truth, reasoning and behavioural effectiveness. Thinking and Reasoning.Google Scholar
Over, D. E., Hadjichristidis, C., Evans, J. St. B. T., Handley, S. J., and Sloman, S.. (2005). The probability of ordinary indicative conditionals. Manuscript submitted for publication.Google Scholar
Osman, M., and Laming, D. (2001). Misinterpretation of conditional statements in Wason's selection task. Psychological Research, 65, 128–144.CrossRefGoogle ScholarPubMed
Pearl, J. (1988). Probabilistic reasoning in intelligent systems. San Mateo, CA: Morgan Kaufman.Google Scholar
Pearl, J. (2000). Causality. Cambridge: Cambridge University Press.Google Scholar
Perelman, C., and Olbrechts-Tyteca, L. (1969). The new rhetoric: A treatise on argumentation. Notre Dame, IN: University of Notre Dame Press.Google Scholar
Perham, N., and Oaksford, M. (2005). Deontic reasoning with emotional content: Evolutionary psychology or decision theory?Cognitive Science, 29, 681–718.CrossRefGoogle ScholarPubMed
Politzer, G. (2005). Uncertainty and the suppression of inferences. Thinking and Reasoning, 11, 5–34.CrossRefGoogle Scholar
Prakken, H., and Vreeswijk, G. A. W. (2002). Logics for defeasible argumentation. In Gabbay, D. M., and Guenthner, F. (Eds.), Handbook of Philosophical Logic, 2nd edition, Vol. 4 (pp. 219–318). Dordrecht: Kluwer Academic Publishers.Google Scholar
Quinn, S., and Markovits, H. (1998). Conditional reasoning, causality, and the structure of semantic memory: Strength of association as a predictive factor for content effects. Cognition, 68, B93–B101.CrossRefGoogle ScholarPubMed
Quinn, S., and Markovits, H. (2002). Conditional reasoning with causal premises: Evidence for a retrieval model. Thinking and Reasoning, 8, 179–191.CrossRefGoogle Scholar
Ramsey, F. P. (1990). General propositions and causality. In Mellor, D. H. (Ed.), Philosophical Papers of F. P. Ramsey (pp. 145–163). Cambridge: Cambridge University Press. (Originally published in 1931).Google Scholar
Rips, L. J. (1994). The psychology of proof. Cambridge, MA: MIT Press.Google Scholar
Rips, L. J. (2001). Two kinds of reasoning. Psychological Science, 12, 129–134.CrossRefGoogle Scholar
Rumelhart, D. E., Smolensky, P., McClelland, J. L., and Hinton, G. E. (1986). Schemata and sequential thought processes in PDP models. In McClelland, J. L., and Rumelhart, D. E. (Eds.), Parallel distributed processing: Explorations in the microstructure of cognition, Vol. 2: Psychological and biological processes (Chapter 14, pp. 7–57). Cambridge, MA: MIT Press.Google Scholar
Schroyens, W., and Schaeken, W. (2003). A critique of Oaksford, Chater, and Larkin's (2000) conditional probability model of conditional reasoning. Journal of Experimental Psychology: Learning, Memory & Cognition, 29, 140–149.Google ScholarPubMed
Schroyens, W., Schaeken, W., Fias, W., and d'Ydewalle, G. (2000). Heuristic and analytic processes in conditional reasoning with negatives. Journal of Experimental Psychology: Learning, Memory & Cognition, 26, 1713–1734.Google ScholarPubMed
Schroyens, W., Schaeken, W., and d'Ydewalle, G. (2001a). The processing of negations in conditional reasoning: A meta-analytic case study in mental model and/or mental logic theory. Thinking and Reasoning, 7, 121–172.CrossRefGoogle Scholar
Schroyens, W., Schaeken, W., and d'Ydewalle, G. (2001b). A meta-analytic review of conditional reasoning by model and/pr rule: Mental models theory revised. Manuscript submitted for publication. Available at: http://www.psy.kuleuven.ac.be/~walters/cognition.pdf.Google Scholar
Schroyens, W., Verschueren, N., Schaeken, W., and d'Ydewalle, G. (2000). Conditional reasoning with negations: Implicit and explicit affirmation or denial and the role of contrast classes. Thinking & Reasoning, 6, 221–251.CrossRefGoogle Scholar
Schustack, M. W., and Sternberg, R. J. (1981). Evaluation of evidence in causal inference. Journal of Epxerimental Psychology: General, 110, 101–120.Google Scholar
Sellen, J. L., Oaksford, M., and Gray, N. S. (2005). Schizotypy and conditional inference. Schizophrenia Bulletin, 31, 105–116.CrossRefGoogle Scholar
Shaw, V. F., and Johnson-Laird, P. N. (1998). Dispelling the ‘atmosphere’ effect in reasoning. In Quelhas, A. C., and Pereira, F. (Eds.), Cognition and Context (Special issue of Analise Psicologia) (pp. 169–199). Lisbon, Portugal: Instituto Superior De Psicologia Aplicada.Google Scholar
Sobel, J. H. (2004). Probable modus ponens and modus tollens, and updating on uncertain evidence. Unpublished Manuscript, Department of Philosophy, University of Toronto at Scarborough. Available at: www.scar.toronto.ca/~sobel/ConfDisconf.pdf.Google Scholar
Sober, E. (2002). Intelligent design and probability reasoning. International Journal for Philosophy of Religion, 52, 65–80.CrossRefGoogle Scholar
Sperber, D., Cara, F., and Girotto, V. (1995). Relevance explains the selection task. Cognition, 57, 31–95.CrossRefGoogle ScholarPubMed
Stanovich, K. E., and West, R. F. (2000). Individual differences in reasoning: Implications for the rationality debate. Behavioral & Brain Sciences, 23, 645–726.CrossRefGoogle ScholarPubMed
Stein, E. (1996). Without good reason.Oxford: Oxford University Press.Google Scholar
Stevenson, R. J., and Over, D. E. (1995). Deduction from uncertain premises. Quarterly Journal of Experimental Psychology, 48A, 613–643.CrossRefGoogle Scholar
Stich, S. (1985). Could man be an irrational animal?Synthese, 64, 115–135.CrossRefGoogle Scholar
Thompson, V. A. (1994). Interpretational factors in conditional reasoning. Memory and Cognition, 22, 742–758.CrossRefGoogle ScholarPubMed
Thompson, V. A., and Mann, J. M. (1995). Perceived necessity explains the dissociation between logic and meaning: The case of “Only if”. Journal of Experimental Psychology: Learning, Memory & Cognition, 21, 1554–1567.Google Scholar
Wagner, C. G. (2004). Modus tollens probabilized. British Journal for Philosophy of Science, 55, 747–753.CrossRefGoogle Scholar
Wason, P. C. (1968). Reasoning about a rule. Quarterly Journal of Experimental Psychology, 20, 273–281.CrossRefGoogle ScholarPubMed
Wason, P. C., and Johnson-Laird, P. N. (1972). Psychology of reasoning: Structure and content.Cambridge, MA: Harvard University Press.Google Scholar
Yama, H. (2001). Matching versus optimal data selection in the Wason selection task. Thinking and Reasoning, 7, 295–311.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×