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On Independence and Compound and Iterated Conditionals

Gilio, Angelo; Over, David; Pfeifer, Niki; Sanfilippo, Giuseppe


Angelo Gilio

Niki Pfeifer

Giuseppe Sanfilippo


Understanding the logic of uncertain conditionals is a key problem in the new paradigm psychology of reasoning and related fields. We investigate conjunctions of conditionals, iterated conditionals, and independence within the theory of logical operations on conditionals, where compound conditionals are suitably defined as conditional random quantities. We show how conjunctions of conditionals and conditionals which feature conditionals in the antecedent and the consequent can be rationally interpreted. In particular, we study the behavior of such objects under different logical constraints, by also considering a kind of “independence” property. Unlike alternative approaches, in our framework we avoid counterintuitive consequences, which is necessary for understanding, or improving, human and artificial rationality in general.

Presentation Conference Type Edited Proceedings
Conference Name Human and Artificial Rationalities (HAR 2023)
Start Date Sep 19, 2023
End Date Sep 22, 2023
Acceptance Date Jun 1, 2023
Online Publication Date Mar 15, 2024
Publication Date 2024
Deposit Date Jun 14, 2024
Publisher Springer Nature
Pages 159-177
Series Title Lecture Notes in Computer Science
Series Number 14522
Series ISSN 0302-9743
Book Title Human and Artificial Rationalities: Second International Conference, HAR 2023, Paris, France, September 19–22, 2023, Proceedings
ISBN 9783031552441
Public URL