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Product details:
- Publisher OUP USA
- Date of Publication 31 March 2022
- ISBN 9780190884314
- Binding Hardback
- No. of pages456 pages
- Size 165x241x38 mm
- Weight 794 g
- Language English 300
Categories
Short description:
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.
Long description:
This monograph presents the first detailed exposition of the formal theory of Branching Space-Times. The theory presented here by Nuel Belnap, Thomas Muller, and Tomasz Placek describes how real possibilities can play out in our spatio-temporal world. In our world, some things that are really possible in Cleveland are not really possible in San Francisco; other things were really possible in 1988 but are not really possible in 2021. The authors develop a rigorous, relativity-friendly theory of indeterminism as a local and modal concept, demonstrating that our world contains events with alternative possible outcomes.
The book is divided into two parts. The first contains the exposition of the theory, including detailed proofs. The second contains three applications of Branching Space-Times in metaphysics and philosophy of science, focusing on the use of Branching Space-Times to represent pertinent forms of indeterminism in each area. Some specific applications include a formal analysis of modal correlations and of causation and a rigorous theory of objective single-case probabilities, intended to represent degrees of possibility. The authors link their theory to current physics, investigating how local and modal indeterminism relates to issues in the foundations of physics, particularly in quantum non-locality and spatio-temporal relativity. They also relate the theory to philosophy of time, showing how it may be used to explicate the dynamic concept of the past, present, and future based on local indeterminism.
The Branching Space-Times theory has been in development over the past 25 years. This volume provides a much needed first systematic and comprehensive book-length exposition of both the theory and its applications.
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.
Belnap, Müller, and Placek defend a novel theory of branching space-times in this mathematically rigorous, engaging monograph at the intersection of metaphysics, philosophy of time, and modern physics.
Table of Contents:
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
