Weak Discernibility in Quantum Mechanics: Does It Save PII?

Axiomathes 23 (3):461-484 (2013)
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Abstract

The Weak Principle of the Identity of Indiscernibles (weak PII), states that numerically distinct items must be discernible by a symmetrical and irreflexive relation. Recently, some authors have proposed that weak PII holds in non relativistic quantum mechanics, contradicting a long tradition claiming PII to be simply false in that theory. The question that arises then is: are relations allowed in the scope of PII? In this paper, we propose that quantum mechanics does not help us in deciding matters concerning that problem, since that is a metaphysical problem rather than a quantum mechanical one. We argue further that weak PII is unmotivated on metaphysical grounds. We examine three metaphysical theses (bundle theory, counting, empiricism) that may provide reasons for one to sustain PII, and we conclude that weak PII gets no independent motivation from them

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Jonas R. B. Arenhart
Universidade Federal de Santa Catarina

Citations of this work

From primitive identity to the non-individuality of quantum objects.Jonas Becker Arenhart & Décio Krause - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 46 (2):273-282.
Rethinking Individuality in Quantum Mechanics.Nathan Moore - 2019 - Dissertation, University of Western Ontario
Quantum Logical Structures For Identical Particles.Federico Holik, Krause Decio & Gómez Ignacio - 2016 - Cadernos de História E Filosofia da Ciéncia 2 (1):13-58.
Newton da Costa sobre la lógica no-reflexiva y la identidad.Jonas Rafael Becker Arenhart - 2019 - Metatheoria – Revista de Filosofía E Historia de la Ciencia 9:19--31.

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References found in this work

Every thing must go: metaphysics naturalized.James Ladyman & Don Ross - 2007 - New York: Oxford University Press. Edited by Don Ross, David Spurrett & John G. Collier.
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Every Thing Must Go: Metaphysics Naturalized.James Ladyman & Don Ross - 2007 - In James Ladyman & Don Ross (eds.), Every thing must go: metaphysics naturalized. New York: Oxford University Press.
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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