Quantum logic and meaning

Autor(en)

Sebastian Horvat, Iulian D. Toader

Abstrakt

This paper gives a formulation of quantum logic in the abstract algebraic setting laid out by Dunn and Hardegree (2001). On this basis, it provides a comparative analysis of viable quantum logical bivalent semantics and their classical counterparts, thereby showing that the truth-functional status of classical and quantum connectives is not as different as usually thought. Then it points out that bivalent semantics for quantum logic - compatible with realism about quantum mechanics - can be maintained, albeit at the price of truth-functionality. Finally, but more importantly, the paper significantly improves on Hellman's argument (1980) that this lack of truth-functionality entails a change of meaning between classical and quantum connectives.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation, Institut Wiener Kreis

DOI

https://doi.org/10.48550/arXiv.2304.08450

Publikationsdatum

2023

ÖFOS 2012

603109 Logik, 603124 Wissenschaftstheorie

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/0200dc63-b7fa-4f21-aa0a-bfdacdc808e4