This monograph presents the first detailed exposition of the formal theory of Branching Space-Times (BST). The theory presented here by Nuel Belnap, Thomas Muller, and Tomasz Placek describes how real possibilities can be anchored in a spatio-temporal world that is rudimentarily relativistic. Things that are possible in Cleveland are not possible in San Francisco; other things were possible in 1988 but are not possible in 2021. BST represents such possibilities using a mathematically rigorous framework that combines modality and rudimentary relativistic space-times. The book is divided into…mehr
This monograph presents the first detailed exposition of the formal theory of Branching Space-Times (BST). The theory presented here by Nuel Belnap, Thomas Muller, and Tomasz Placek describes how real possibilities can be anchored in a spatio-temporal world that is rudimentarily relativistic. Things that are possible in Cleveland are not possible in San Francisco; other things were possible in 1988 but are not possible in 2021. BST represents such possibilities using a mathematically rigorous framework that combines modality and rudimentary relativistic space-times. The book is divided into two parts: the first contains the exposition of the theory, including detailed proofs; the second contains three applications of BST in metaphysics and philosophy of science, focusing on the use of BST to represent pertinent forms of indeterminism in each area. This is an open access title available under the terms of a CC BY-NC-ND 4.0 International license. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations.
Nuel Belnap is Professor Emeritus of Philosophy at the University of Pittsburgh and member of the American Academy of Arts and Sciences, specializing in logic, metaphysics, philosophy of science, and theory of action. Thomas Muller is Professor of Philosophy at the University of Konstanz, Germany and member of the German National Academy of Sciences Leopoldina, specializing in logic, metaphysics, philosophy of science, and theory of action. Tomasz Placek is Professor of Philosophy at the Jagiellonian University in Kraków, Poland, specializing in metaphysics and philosophy of physics.
Inhaltsangabe
Preface I The Core Theory 1. Introduction 2. The Foundations of Branching Space-Times 3. Two options for the branching of histories 4. Building upon the foundations of Branching Space-Times 5. Modal funny business 6. Causation in terms of causae causantes 7. Probabilities II Applications 8. Quantum correlations 9. Branching in relativistic space-times 10. A Branching Space-Times perspective on presentism III Appendix A. Selected proofs and additional material B. Answers to selected exercises Bibliography Index
Preface I The Core Theory 1. Introduction 2. The Foundations of Branching Space-Times 3. Two options for the branching of histories 4. Building upon the foundations of Branching Space-Times 5. Modal funny business 6. Causation in terms of causae causantes 7. Probabilities II Applications 8. Quantum correlations 9. Branching in relativistic space-times 10. A Branching Space-Times perspective on presentism III Appendix A. Selected proofs and additional material B. Answers to selected exercises Bibliography Index
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