Quasi-set theory: a formal approach to a quantum ontology of properties

Synthese 200 (5):1-26 (2022)
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Abstract

In previous works, an ontology of properties for quantum mechanics has been proposed, according to which quantum systems are bundles of properties with no principle of individuality. The aim of the present article is to show that, since quasi-set theory is particularly suited for dealing with aggregates of items that do not belong to the traditional category of individual, it supplies an adequate meta-language to speak of the proposed ontology of properties and its structure.

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Author Profiles

Décio Krause
Federal University of Santa Catarina
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Citations of this work

Identity and individuality in quantum theory.Steven French - 2008 - Stanford Encyclopedia of Philosophy.
Interview with Olimpia Lombardi.Eric R. Scerri - 2022 - Foundations of Chemistry 25 (1):101-117.

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References found in this work

Principles of mathematics.Bertrand Russell - 1931 - New York,: W.W. Norton & Company.
What is structural realism?James Ladyman - 1998 - Studies in History and Philosophy of Science Part A 29 (3):409-424.
The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
Identity in physics: a historical, philosophical, and formal analysis.Steven French & Décio Krause - 2006 - New York: Oxford University Press. Edited by Decio Krause.

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