Judgement aggregation in non-classical logics

Journal of Applied Non-Classical Logics 27 (1-2):106-139 (2017)
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Abstract

This work contributes to the theory of judgement aggregation by discussing a number of significant non-classical logics. After adapting the standard framework of judgement aggregation to cope with non-classical logics, we discuss in particular results for the case of Intuitionistic Logic, the Lambek calculus, Linear Logic and Relevant Logics. The motivation for studying judgement aggregation in non-classical logics is that they offer a number of modelling choices to represent agents’ reasoning in aggregation problems. By studying judgement aggregation in logics that are weaker than classical logic, we investigate whether some well-known impossibility results, that were tailored for classical logic, still apply to those weak systems.

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Daniele Porello
Università degli Studi di Genova

Citations of this work

Logic and Majority Voting.Ryo Takemura - 2021 - Journal of Philosophical Logic 51 (2):347-382.
Representing voting rules in Łukasiewicz’s three-valued logic.Adrian Miroiu & Mircea Dumitru - 2022 - Journal of Applied Non-Classical Logics 32 (1):72-88.

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References found in this work

Group agency: the possibility, design, and status of corporate agents.Christian List & Philip Pettit - 2011 - New York: Oxford University Press. Edited by Philip Pettit.
Elements of Intuitionism.Michael Dummett - 1977 - New York: Oxford University Press. Edited by Roberto Minio.
Basic proof theory.A. S. Troelstra - 2000 - New York: Cambridge University Press. Edited by Helmut Schwichtenberg.

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