Non-Reflexive Logics, Non-Individuals, and the Philosophy of Quantum Mechanics

Jonas Rafael Becker Arenhart is associate professor of the Department of Philosophy of the Federal University of Santa Catarina (Florianópolis, SC – Brazil), and member of the Graduate program in Philosophy of the Federal University of Maranhão (Maranhão - Brazil). Researcher of the Brazilian National Research Council (CNPq), member of the editorial board of Principia – An international Journal of Epistemology. He got his PhD in Philosophy in 2011 at the Federal University of Santa Catarina, under the supervision of prof. Décio Krause. He is a member of the Research Group in Logic and Foundations of Science (CNPq), and of the International Network on Foundations of Quantum Mechanics and Quantum Information. His main areas of interest are Logic, philosophy of logic and paraconsistency, and the search for productive interaction between science and metaphysics, with focus on quantum mechanics, with publications on these topics appearing in international journals. Raoni Wohnrath Arroyo received his Ph.D. in Philosophy (Epistemology and Logic) in 2020 from the Federal University of Santa Catarina (Brazil), with a study on metaphysical aspects of the interpretations of quantum mechanics. He is currently a Postdoc researcher at the Graduate Program in Philosophy of the Federal University of Santa Catarina, a member of the Research Group in Logic and Foundations of Science (CNPq), and of the International Network on Foundations of Quantum Mechanics and Quantum Information. His main philosophical interests are the methodological and epistemological aspects of the metaphysics of science, and its relation with scientific realism.

1. Introduction: Décio Krause, quantum mechanics, non individuality, and this volume (Jonas R. Becker Arenhart and Raoni Wohnrath Arroyo).- 2. The pragmatics of quantum individuality (Dennis Dieks).- 3. Quasi-structural realism (Steven French).- 4. The roads to non-individuals (and how not to read their maps) (Jonas R. Becker Arenhart and Raoni Wohnrath Arroyo).- 5. Particles? What do we mean by a particle? (Graciela Domenech).- 6. A phenomenology of identity: about quantum (non-)particles (Michel Bitbol).- 7. The perils of cardinality primitivism (Otávio Bueno).- 8. Open problems in the development of a quantum mereology and their ontological implications (Federico Holik and Juan Pablo Jorge).- 9. Indistinguishability in homodyne photo-detections (J. Acacio de Barros).- 10. On the consistency of quasi-set theory (Adonai S. Sant'Anna).- 11. About the ontological nature of quantum systems (Olimpia Lombardi).- 12. The several measurement problems and the reality problem of quantum mechanics (F. A. Muller).- 13. Measuring quantum superpositions (Or: "It is only the theory which decides what can be observed") (Christian de Ronde).- 14. A quantum approach to pattern recognition (Maria Luisa Dalla Chiara, Roberto Giuntini, and Giuseppe Sergioli).- 15. On axiomatic formulations of the efficient market hypothesis (Newton C. A. da Costa, Francisco A. Doria, and G. Gallipolo).