Two quantum logics of indeterminacy

Synthese 199 (5-6):13247-13281 (2021)
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Abstract

We implement a recent characterization of metaphysical indeterminacy in the context of orthodox quantum theory, developing the syntax and semantics of two propositional logics equipped with determinacy and indeterminacy operators. These logics, which extend a novel semantics for standard quantum logic that accounts for Hilbert spaces with superselection sectors, preserve different desirable features of quantum logic and logics of indeterminacy. In addition to comparing the relative advantages of the two, we also explain how each logic answers Williamson’s challenge to any substantive account of determinacy: For any proposition p, what could the difference between “p” and “it’s determinate that p” ever amount to?

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Author Profiles

Samuel C. Fletcher
University of Minnesota
David E. Taylor
University of Minnesota

References found in this work

Reasons and Persons.Derek Parfit - 1984 - Oxford, GB: Oxford University Press.
Introduction to metamathematics.Stephen Cole Kleene - unknown - Groningen: P. Noordhoff N.V..
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Word and Object.Willard Van Orman Quine - 1960 - Les Etudes Philosophiques 17 (2):278-279.

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