On the Reality of the Base-Rate Fallacy: A Logical Reconstruction of the Debate

Review of Philosophy and Psychology:1-19 (forthcoming)
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Abstract

Does the most common response given by participants presented with Tversky and Kahneman’s famous taxi cab problem amount to a violation of Bayes’ theorem? In other words, do they fall victim to so-called base-rate fallacy? In the present paper, following an earlier suggestion by Crupi and Girotto, we will identify the logical arguments underlying both the original diagnosis of irrationality in this reasoning task under uncertainty and a number of objections that have been raised against such a diagnosis. This will enable us to show firstly that, contrary to the dismissive arguments recently put forward by Elqayam and Evans, empirical evidence turns out to be quite useful in addressing questions of this kind. Therefore, it can make a significant contribution to moving the base-rate fallacy controversy forward. Secondly, the available empirical evidence (though limited and sometimes inconclusive) seems to support the charge of irrationality levelled against the majority of participants presented with the taxi cab problem, and hence suggests that base-rate neglect is a real fallacy − that is the conclusion of our analysis.

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On the psychology of prediction.Daniel Kahneman & Amos Tversky - 1973 - Psychological Review 80 (4):237-251.
Can human irrationality be experimentally demonstrated?L. Jonathan Cohen - 1981 - Behavioral and Brain Sciences 4 (3):317-370.
Judgement under Uncertainty: Heuristics and Biases.Daniel Kahneman, Paul Slovic & Amos Tversky - 1985 - British Journal for the Philosophy of Science 36 (3):331-340.
The Aim and Structure of Physical Theory.Pierre Duhem & Philip P. Wiener - 1955 - Science and Society 19 (1):85-87.

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