Two quantum logics of indeterminacy

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)13247-13281
Number of pages35
JournalSynthese
Volume199
Issue number5-6
DOIs
StatePublished - Sep 14 2021

Bibliographical note

Funding Information:
We would like to thank an anonymous reviewer for helping us identify some technical faults in an earlier version of this manuscript.

Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.

Keywords

  • Eigenstate–eigenvalue link
  • Indeterminacy
  • Quantum logic
  • Quantum mechanics
  • Superselection

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