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Making it formally explicit. Probability, causality and indeterminism. (English) Zbl 1380.81019

European Studies in Philosophy of Science 6. Cham: Springer (ISBN 978-3-319-55485-3/hbk; 978-3-319-55486-0/ebook). xiv, 242 p. (2017).

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Publisher’s Description: This book collects research papers on the philosophical foundations of probability, causality, spacetime and quantum theory. The papers are related to talks presented in six subsequent workshops organized by the Budapest-Kraków research group on probability, causality and Determinism. Coverage consists of three parts. Part I focuses on the notion of probability from a general philosophical and formal epistemological perspective. Part II applies probabilistic considerations to address causal questions in the foundations of quantum mechanics. Part III investigates the question of indeterminism in spacetime theories. It also explores some related questions, such as decidability and observation. The contributing authors are all philosophers of science with a strong background in mathematics or physics. They believe that paying attention to the finer formal details often helps avoiding pitfalls that exacerbate the philosophical problems that are in the center of focus of contemporary research. The papers presented here help make explicit the mathematical-structural assumptions that underlie key philosophical argumentations. This formally rigorous and conceptually precise approach will appeal to researchers and philosophers as well as mathematicians and statisticians.
The articles of mathematical interest will be reviewed individually.
Indexed articles:
Gyenis, Zalán; Rédei, Miklós, A principled analysis of consistency of an abstract principal principle, 3-33 [Zbl 1395.60004]
Gyenis, Balázs; Wroński, Leszek, Is it the principal principle that implies the principle of indifference?, 35-41 [Zbl 1380.60007]
Bana, Gergei, Models of objective chance: an analysis through examples, 43-60 [Zbl 1380.60006]
Wallmann, Christian; Williamson, Jon, Four approaches to the reference class problem, 61-81 [Zbl 1380.60008]
Wroński, Leszek; Placek, Tomasz; Godziszewski, Michał Tomasz, Separate common causes and EPR correlations: an “Almost no-go” result, 85-107 [Zbl 1380.81063]
Gömöri, Márton; Placek, Tomasz, Small probability space formulation of Bell’s theorem, 109-127 [Zbl 1380.81047]
Kitajima, Yuichiro, Reichenbachian common cause systems of size 3 in general probability theories, 129-145 [Zbl 1380.81027]
Pedro, Iñaki San, On time order and causal order in the EPR experiment, 147-161 [Zbl 1380.81055]
Szabó, László E., Meaning, truth, and physics, 165-177 [Zbl 1380.00017]
Fletcher, Samuel C., Indeterminism, gravitation, and spacetime theory, 179-191 [Zbl 1380.78005]
Doboszewski, Juliusz, Non-uniquely extendible maximal globally hyperbolic spacetimes in classical general relativity: a philosophical survey, 193-212 [Zbl 1380.83017]
Gömöri, Márton; Gyenis, Balázs; Hofer-Szabó, Gábor, How do macrostates come about?, 213-229 [Zbl 1380.82024]
Godziszewski, Michał Tomasz, Experimental logics as a model of development of deductive science and computational properties of undecidable sentences, 231-242 [Zbl 1380.00016]

MSC:

81-06 Proceedings, conferences, collections, etc. pertaining to quantum theory
81P05 General and philosophical questions in quantum theory
00A30 Philosophy of mathematics
00B25 Proceedings of conferences of miscellaneous specific interest
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