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Probabilistic Thinking

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The Palgrave Encyclopedia of the Possible

Abstract

This entry starts by defining probability, followed by a review of the historical context of probabilistic thinking. It continues with a brief commentary on experimental classical research on probabilistic thinking, heuristics, and biases research program. It then focuses on the main critical perspectives to this paradigm, the frequentist and the pragmatic approaches, which have reinterpreted the so-called cognitive illusions. These perspectives lead to a further exploration of the concept of probabilistic thinking, which opens the way toward a more genuinely psychological and comprehensive conception of “possible” and “uncertain.”

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Notes

  1. 1.

    As in most Book bag-and-poker chip problems, the starting point of subjective estimation is specifically set by the prior probability procedure, but the point at which participants decide to stop revising their estimate, according to us, seems in most cases not too far from likelihood.

References

  • Aimo, N., & Macchi, L. (in preparation). Place your bets. Nudge and communication for the prevention of excessive gambling.

    Google Scholar 

  • Allais, M. (1953). Le comportement de l’homme rationnel devant le risque: critique des postulats et axiomes de l’école Américaine. Econometrica, 21(4), 503–546.

    Article  Google Scholar 

  • Bagassi, M., & Macchi, L. (2016). The interpretative function and the emergence of unconscious analytic thought. In K. Frankish (Ed.), Cognitive unconscious and human rationality (pp. 43–76). MIT Press.

    Google Scholar 

  • Barbey, A. K., & Sloman, S. A. (2007). Base-rate respect: From ecological rationality to dual processes. Behavioral and Brain Sciences, 30(3), 241–254.

    Google Scholar 

  • Brun, W., & Teigen, K. H. (1988). Verbal probabilities: Ambiguous, context-dependent, or both? Organizational Behavior and Human Decision Processes, 41(3), 390–404.

    Google Scholar 

  • Carnap, R. (1945). The two concepts of probability: The problem of probability. Philosophy and Phenomenological Research, 5(4), 513–532.

    Google Scholar 

  • Casscells, W., Schoenberger, A., & Graboys, T. B. (1978). Interpretation by physicians of clinical laboratory results. New England Journal of Medicine, 299(18), 999–1001.

    Google Scholar 

  • Eddy, D. M. (1982). Probabilistic reasoning in clinical medicine: Problems and opportunities. In D. Kahneman, S. P. Slovic, P. Slovic, & A. Tversky (Eds.), Judgment under uncertainty: Heuristics and biases (pp. 249–267). Cambridge University Press.

    Google Scholar 

  • Edwards, W. (1968). Conservatism in human information processing. In B. Kleinmuntz (Ed.), Formal representation of human judgment (pp. 17–52). New York: Wiley.

    Google Scholar 

  • Edwards, W., & Phillips, L. D. (1964). Man as transducer for probabilities in Bayesian command and control systems. In G. L. Bryan & M. W. Shelly (Eds.), Human judgments and optimality (pp. 360–401). Wiley.

    Google Scholar 

  • Frankish, K., & Evans, J. S. B. T. (2009). The duality of mind: An historical perspective. In J. S. B. Evans & K. E. Frankish (Eds.), Two minds: Dual processes and beyond (pp. 1–29). Oxford University Press.

    Google Scholar 

  • Gigerenzer, G., & Hoffrage, U. (1995). How to improve Bayesian reasoning without instruction: Frequency formats. Psychological Review, 102(4), 684–704.

    Google Scholar 

  • Goldstein, D. G., & Gigerenzer, G. (2002). Models of ecological rationality: The recognition heuristic. Psychological Review, 109(1), 75–90.

    PubMed  Google Scholar 

  • Grice, H. P. (1975). Logic and conversation. In P. Cole & J. L. Morgan (Eds.), Syntax and semantics (pp. 41–58). Leiden: Brill.

    Google Scholar 

  • Hacking, I. (1975). The emergence of probability. Cambridge: Cambridge University Press.

    Google Scholar 

  • Hilton, O. (1995). The relationship of mathematical probability to the handwriting identification problem. International Journal of Forensic Document Examiners, 1(3), 224–229.

    Google Scholar 

  • Hohle, S. M., & Teigen, K. H. (2018). More than 50% or less than 70% chance: Pragmatic implications of single-bound probability estimates. Journal of Behavioral Decision Making, 31(1), 138–150.

    Google Scholar 

  • Janis, I. L., & Mann, L. (1977). Decision making: A psychological analysis of conflict, choice, and commitment. New York: Free Press.

    Google Scholar 

  • Kahneman, D., & Tversky, A. (1973). On the psychology of prediction. Psychological Review, 80(4), 237–251.

    Google Scholar 

  • Kahneman, D., Slovic, P., & Tversky, A. (1982). Judgment under uncertainty: Heuristics and biases. Cambridge: Cambridge University Press.

    Google Scholar 

  • Koehler, J. J., & Macchi, L. (2004). Thinking about low-probability events: An exemplar-cuing theory. Psychological Science, 15(8), 540–546.

    PubMed  Google Scholar 

  • Lejarraga, T., & Hertwig, R. (2021). How experimental methods shaped views on human competence and rationality. Psychological Bulletin, 147(6), 535–564.

    PubMed  Google Scholar 

  • Macchi, L. (1995). Pragmatic aspects of the base-rate fallacy. The Quarterly Journal of Experimental Psychology, 48(1), 188–207.

    Google Scholar 

  • Macchi, L. (2000). Partitive formulation of information in probabilistic problems: Beyond heuristics and frequency format explanations. Organizational Behavior and Human Decision Processes, 82(2), 217–236.

    PubMed  Google Scholar 

  • Macchi, L., & Bagassi, M. (2012). Intuitive and analytical processes in insight problem solving: A psycho-rhetorical approach to the study of reasoning. Mind & Society, 11(1), 53–67.

    Google Scholar 

  • Macchi, L., & Bagassi, M. (2015). When analytic thought is challenged by a misunderstanding. Thinking & Reasoning, 21(1), 147–164.

    Google Scholar 

  • Macchi, L., & Mosconi, G. (1998). Computational features vs frequentist phrasing in the base-rate fallacy. Swiss Journal of Psychology/Schweizerische Zeitschrift für Psychologie/Revue Suisse de Psychologie, 57(2), 79–85.

    Google Scholar 

  • Macchi, L., & Zulato, E. (2021). Numbers do not add up! The pragmatic approach to the framing of medical treatments. Judgment and Decision making, 16(3), 586.

    Google Scholar 

  • Macchi, L., Osherson, D., & Krantz, D. H. (1999). A note on superadditive probability judgment. Psychological Review, 106(1), 210.

    Google Scholar 

  • Mosconi, G. (1990). Discorso e pensiero. Bologna: Il Mulino.

    Google Scholar 

  • Mosconi, G. (1998). Norma logica e regole discorsive nella ricerca sul ragionamento. In F. Castellani & L. Montecucco (Eds.), Normatività logica e ragionamento di senso comune (pp. 223–241). Bologna: Il Mulino.

    Google Scholar 

  • Mosconi, G., & Macchi, L. (2001). The role of pragmatic rules in the conjunction fallacy. Mind & Society, 2(1), 31–57.

    Google Scholar 

  • Nisbett, R. E., & Ross, L. (1980). Human inference: Strategies and shortcomings of social judgment. Englewood Cliffs: Prentice-Hall.

    Google Scholar 

  • Peterson, C. R., & Beach, L. R. (1967). Man as an intuitive statistician. Psychological Bulletin, 68(1), 29–46.

    PubMed  Google Scholar 

  • Peterson, C. R., Schneider, R. J., & Miller, A. J. (1965). Sample size and the revision of subjective probabilities. Journal of Experimental Psychology, 69(5), 522–527.

    PubMed  Google Scholar 

  • Politzer, G., & Macchi, L. (2005). The representation of the task: The case of the Lawyer–Engineer problem in probability judgement. In The shape of reason (pp. 135–152). Psychology Press.

    Google Scholar 

  • Popper, K. R. (1957). Probability magic or knowledge out of ignorance. Dialectica, 11(3–4), 354–374.

    Google Scholar 

  • Reagan, R. T., Mosteller, F., & Youtz, C. (1989). Quantitative meanings of verbal probability expressions. Journal of Applied Psychology, 74(3), 433–442.

    Google Scholar 

  • Russell, B. (1948). Human knowledge: Its scope and limits. New York: Simon and Schuster.

    Google Scholar 

  • Sher, S., & McKenzie, C. R. (2006). Information leakage from logically equivalent frames. Cognition, 101(3), 467–494.

    PubMed  Google Scholar 

  • Simon, H. A. (1956). Rational choice and the structure of the environment. Psychological Review, 63(2), 129.

    PubMed  Google Scholar 

  • Slovic, P. (1972). Psychological study of human judgment: Implications for investment decision making. The Journal of Finance, 27(4), 779–799.

    Google Scholar 

  • Sperber, D., Cara, F., & Girotto, V. (1995). Relevance theory explains the selection task. Cognition, 57(1), 31–95.

    PubMed  Google Scholar 

  • Stanovich, K. E., & West, R. F. (2000). Individual differences in reasoning: Implications for the rationality debate? Behavioral and Brain Sciences, 23(5), 645–665.

    Google Scholar 

  • Teigen, K. H., & Brun, W. (1997). Anticipating the future: Appraising risk and uncertainty. In R. Ranyard, W. R. Crozier, & O. Svenson (Eds.), Decision making: Cognitive models and explanations (pp. 112–127). London: Routledge.

    Google Scholar 

  • Teigen, K. H., & Brun, W. (2000). Ambiguous probabilities: When does p= 0.3 reflect a possibility, and when does it express a doubt? Journal of Behavioral Decision Making, 13(3), 345–362.

    Google Scholar 

  • Teigen, K. H., & Brun, W. (2003). Verbal expressions of uncertainty and probability. In D. Hardman & L. Macchi (Eds.), Thinking: Psychological perspectives on reasoning, judgment and decision making (pp. 125–145). Wiley.

    Google Scholar 

  • Tversky, A., & Kahneman, D. (1973). Availability: A heuristic for judging frequency and probability. Cognitive Psychology, 5(2), 207–232.

    Google Scholar 

  • Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: Heuristics and biases. Science, 185(4157), 1124–1131.

    PubMed  Google Scholar 

  • Tversky, A., & Kahneman, D. (1983). Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment. Psychological Review, 90(4), 293–315.

    Google Scholar 

  • Wason, P. C. (1966). Reasoning. In B. M. Foss (Ed.), New horizons in psychology (Vol. 1, pp. 135–151). Harmondsworth: Penguin.

    Google Scholar 

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Correspondence to Laura Macchi .

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Macchi, L., Caravona, L., Aimo, N., Cucchiarini, V. (2022). Probabilistic Thinking. In: The Palgrave Encyclopedia of the Possible. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-319-98390-5_208-1

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  • DOI: https://doi.org/10.1007/978-3-319-98390-5_208-1

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