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 language | English (US) |
|---|---|
| Pages (from-to) | 13247-13281 |
| Number of pages | 35 |
| Journal | Synthese |
| Volume | 199 |
| Issue number | 5-6 |
| DOIs | |
| State | Published - Dec 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