Synthese 192 (2):505-523 (2015)
AbstractIt is usually stated that quantum mechanics presents problems with the identity of particles, the most radical position—supported by E. Schrödinger—asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of solving a problem posed by Y. Manin, namely, to incorporate quantum mechanical notions at the foundations of mathematics. We also show that our system is capable of representing quantum superpositions
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Citations of this work
Identity and Individuality in Quantum Theory.Steven French - 2008 - Stanford Encyclopedia of Philosophy.
Data Repair of Inconsistent Nonmonotonic Description Logic Programs.Thomas Eiter, Michael Fink & Daria Stepanova - 2016 - Artificial Intelligence 239 (C):7-53.
References found in this work
Identity in Physics: A Historical, Philosophical, and Formal Analysis.Steven French & Décio Krause - 2006 - Oxford University Press.
Relational Holism and Quantum Mechanics1.Paul Teller - 1986 - British Journal for the Philosophy of Science 37 (1):71-81.