Two quantum logics of indeterminacy

Synthese 199 (5-6):13247-13281 (2021)
  Copy   BIBTEX

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?

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Quantum indeterminacy.Claudio Calosi & Cristian Mariani - 2021 - Philosophy Compass 16 (4):e12731.
Against Quantum Indeterminacy.David Glick - 2017 - Thought: A Journal of Philosophy 6 (3):204-213.
Deep metaphysical indeterminacy.Bradford Skow - 2010 - Philosophical Quarterly 60 (241):851 - 858.
Quantum Mechanics and Metaphysical Indeterminacy.George Darby - 2010 - Australasian Journal of Philosophy 88 (2):227-245.
Quantum metametaphysics.Alessandro Torza - 2021 - Synthese 199 (3-4):1-25.
Modelling Deep Indeterminacy.George Darby & Martin Pickup - 2021 - Synthese 198:1685–1710.
Quantum metaphysical indeterminacy.Claudio Calosi & Jessica Wilson - 2019 - Philosophical Studies 176 (10):2599–2627.
Spin as a Determinable.Johanna Wolff - 2015 - Topoi 34 (2):379-386.

Analytics

Added to PP
2021-09-15

Downloads
68 (#235,043)

6 months
16 (#148,627)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

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

Citations of this work

No citations found.

Add more citations

References found in this work

Word and Object.Willard Van Orman Quine - 1960 - Cambridge, MA, USA: MIT Press.
Reasons and Persons.Derek Parfit - 1984 - Oxford, GB: Oxford University Press.
Vagueness.Timothy Williamson - 1994 - New York: Routledge.
Introduction to metamathematics.Stephen Cole Kleene - 1952 - 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.

View all 55 references / Add more references