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Two Quantum Logics of Indeterminacy

Fletcher, Samuel C. and Taylor, David E. (2021) Two Quantum Logics of Indeterminacy. Synthese. ISSN 1573-0964

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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 (in)determinacy: For any proposition p, what could the difference between “p” and “it’s determinate that p” ever amount to?

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Item Type: Published Article or Volume
Fletcher, Samuel C.scfletch@umn.edu0000-0002-9061-8976
Taylor, David
Additional Information: Links to this item also available on author's website.
Keywords: Indeterminacy, Eigenstate–eigenvalue link, Quantum logic, Superselection, Quantum mechanics
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Prof. Samuel C. Fletcher
Date Deposited: 16 Sep 2021 18:43
Last Modified: 16 Sep 2021 18:43
Item ID: 19574
Journal or Publication Title: Synthese
Publisher: Springer (Springer Science+Business Media B.V.)
DOI or Unique Handle: 10.1007/s11229-021-03375-2
Subjects: General Issues > Determinism/Indeterminism
Specific Sciences > Physics > Quantum Mechanics
Date: 14 September 2021
ISSN: 1573-0964

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