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

Essays in Honour of the Philosophy of Décio Krause

  • Book
  • © 2023

Overview

Editors:
  1. Jonas R. B. Arenhart

    1. Department of Philosophy, Federal University of Santa Catarina, Florianópolis, Brazil

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  2. Raoni W. Arroyo

    1. Centre for Logic, Epistemology and the History of Science, University of Campinas, Campinas, Brazil

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  • Brings together a group of top scholars on the much debated issue of individuality and quantum mechanics
  • The first book to discuss in detail the philosophical work of Décio Krause, from the late 1990’s until today
  • Sets new standards and topics for discussion on the relation of metaphysics of individuals & non-individuals & QM

Part of the book series: Synthese Library (SYLI, volume 476)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Jonas R. B. Arenhart, Raoni W. Arroyo
    Pages 1-7

  3. Metaphysics and Ontology of Individuality

    1. Front Matter

      Pages 9-9
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    2. Quantum Individuality

      • Dennis Dieks
      Pages 11-27

    3. Quasi-structural Realism

      • Steven French
      Pages 29-43

    4. Not Individuals, Nor Even Objects: On the Ontological Nature of Quantum Systems

      • Olimpia Lombardi
      Pages 45-77

    5. The Roads to Non-individuals

      • Jonas R. B. Arenhart, Raoni W. Arroyo
      Pages 79-100

    6. Understanding Defective Theories

      • Moisés Macías-Bustos, María del Rosario Martínez-Ordaz
      Pages 101-127

    7. A Phenomenology of Identity: QBism and Quantum (Non-)Particles

      • Michel Bitbol
      Pages 129-156

    8. Open Problems in the Development of a Quantum Mereology

      • Federico Holik, Juan Pablo Jorge
      Pages 157-176

  4. Logic and Formalism of Indiscernibility

    1. Front Matter

      Pages 177-177
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    2. Identity and Quantification

      • Otávio Bueno
      Pages 179-190

    3. On the Consistency of Quasi-Set Theory

      • Adonai S. Sant’Anna
      Pages 191-202

    4. Troublesome Quasi-Cardinals and the Axiom of Choice

      • Eliza Wajch
      Pages 203-222

  5. Logic and Philosophy of Quantum Mechanics

    1. Front Matter

      Pages 223-223
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    2. Six Measurement Problems of Quantum Mechanics

      • F. A. Muller
      Pages 225-259

    3. Measuring Quantum Superpositions

      • Christian de Ronde
      Pages 261-296

    4. Recognizing Concepts and Recognizing Musical Themes

      • Maria Luisa Dalla Chiara, Roberto Giuntini, Eleonora Negri, Giuseppe Sergioli
      Pages 297-320

    5. From Here to Eternity

      • Newton C. A. daCosta, Francisco Antonio Doria
      Pages 321-330
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Keywords

About this book

This book discusses the philosophical work of Décio Krause. Non-individuality, as a new metaphysical category, was thought to be strongly supported by quantum mechanics. No one did more to promote this idea than the Brazilian philosopher Décio Krause, whose works on the metaphysics and logic of non-individuality are now widely regarded as part of the consolidated literature on the subject. This volume brings together chapters elaborating on the ideas put forward and defended by Krause, developing them in many different directions, commenting on aspects not completely developed so far, and, more importantly, critically addressing their current formulations and defenses by Krause himself. Given that Krause’s ideas do connect directly and indirectly with a wide array of subjects, such as the philosophy of quantum mechanics, more broadly understood, the philosophy of logic and logical philosophy, non-classical logics, metaphysics,and ontology, this volume contains important material for the research on logic and foundations of science, broadly understood. All the invited contributors have already worked with the ideas developed by Décio (some of them still work with them), being also distinct authors and extremely relevant in their areas of expertise. The volume is aimed at philosophers, including those of physics and quantum mechanics.

Editors and Affiliations

  • Department of Philosophy, Federal University of Santa Catarina, Florianópolis, Brazil

    Jonas R. B. Arenhart

  • Centre for Logic, Epistemology and the History of Science, University of Campinas, Campinas, Brazil

    Raoni W. Arroyo

About the editors

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 is a postdoc researcher at the Centre for Logic, Epistemology and the History of Science based at the University of Campinas, Campinas, SP, Brazil; research fellow from grant #2021/11381-1, São Paulo Research Foundation (FAPESP); a member of Research Group in Logic and Foundations of Science (CNPq); member 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.

Bibliographic Information

  • Book Title: Non-Reflexive Logics, Non-Individuals, and the Philosophy of Quantum Mechanics

  • Book Subtitle: Essays in Honour of the Philosophy of Décio Krause

  • Editors: Jonas R. B. Arenhart, Raoni W. Arroyo

  • Series Title: Synthese Library

  • DOI: https://doi.org/10.1007/978-3-031-31840-5

  • Publisher: Springer Cham

  • eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-31839-9Published: 06 September 2023

  • Softcover ISBN: 978-3-031-31842-9Due: 07 October 2023

  • eBook ISBN: 978-3-031-31840-5Published: 05 September 2023

  • Series ISSN: 0166-6991

  • Series E-ISSN: 2542-8292

  • Edition Number: 1

  • Number of Pages: XII, 330

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Philosophy, general, Metaphysics, Logic, Philosophy of Science

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