A Boolean generalization of the information-gain model can eliminate specific reasoning errors

ElsevierVolume 125, May 2025, 102918Journal of Mathematical PsychologyAuthor links open overlay panelHighlights•

Proposes a hybrid, logic/probability calculus.

Derives this as a generalization of the pre-existing information-gain model.

Connects reasoning to information acquisition.

Shows that several inferences traditionally classified as errors change their status under this hybrid form of normativity.

Abstract

In the Wason selection task, subjects show a tendency towards counter-logical behaviour. Evidence gained from this experiment raises questions about the role that deductive logic plays in human reasoning. A prominent explanation of the effect uses an information-gain model. Rather than reasoning deductively, it is argued that subjects seek to reduce uncertainty. The bias that is observed is seen to stem from maximizing information gain in this adaptively rational way. This theoretical article shows that a Boolean generalization of the information-gain model is potentially considered the normative foundation of reasoning, in which case several inferences traditionally considered errors are found to be valid. The article examines how this affects inferences involving both over-extension of logical implication and overestimation of conjunctive probability.

Keywords

Reasoning

Bias

Logic

Probability

Information

Cognition

Crown Copyright © 2025 Published by Elsevier Inc.

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