Cuesta, JAF and Piazzai, M and Rivieccio, U (2025) Quantum Logics in Cognition: A Proposal. [Preprint]

Text (SYNT-D-25-00181R2) SYNT-D-25-00181R2.pdf - Accepted Version Download (553kB)

Abstract

Quantum logics are non-classical logics defined from the mathematical formalism of quantum mechanics. While they are conventionally used to model inferential processes in physics, their scope of application is potentially much broader. We argue that quantum logics can serve as a framework to model human cognition, as their semantics seem able to capture not only how people make inferences about quantum mechanics, but also how they reason in general. We begin by defining quantum logics from an algebraic perspective in a classical first-order setting. Next, we present findings from cognitive science that suggest these logics are apt to characterize human reasoning. We then consider how such a connection between quantum logics and cognition contributes to longstanding philosophical debates about the epistemological status of logic and the problem of adoption. Finally, we discuss how cognitive applications of quantum logics could advance our understanding of human psychology and even quantum foundations.

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Item Type:	Preprint
Creators:	Creators Email ORCID Cuesta, JAF josealef@ucm.es 0000-0002-9637-9291 Piazzai, M michele.piazzai@ed.ac.uk 0000-0001-9676-7422 Rivieccio, U umberto@fsof.uned.es 0000-0003-1364-5003
Keywords:	Quantum logic, quantum cognition, applied logic, adoption problem, philosophy of logic
Subjects:	Specific Sciences > Mathematics > Logic Specific Sciences > Cognitive Science Specific Sciences > Computation/Information > Quantum Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Mr JAF Cuesta
Date Deposited:	27 May 2025 12:44
Last Modified:	27 May 2025 12:44
Item ID:	25470
DOI or Unique Handle:	SYNT-D-25-00181R2
Subjects:	Specific Sciences > Mathematics > Logic Specific Sciences > Cognitive Science Specific Sciences > Computation/Information > Quantum Specific Sciences > Physics > Quantum Mechanics
Date:	2025
URI:	https://philsci-archive.pitt.edu/id/eprint/25470

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