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Probabilities, Causes and Propensities in Physics

Probabilities, Causes and Propensities in Physics
Author: Mauricio Suárez
Publisher: Springer Science & Business Media
Total Pages: 259
Release: 2010-12-06
Genre: Science
ISBN: 1402099045

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This volume defends a novel approach to the philosophy of physics: it is the first book devoted to a comparative study of probability, causality, and propensity, and their various interrelations, within the context of contemporary physics -- particularly quantum and statistical physics. The philosophical debates and distinctions are firmly grounded upon examples from actual physics, thus exemplifying a robustly empiricist approach. The essays, by both prominent scholars in the field and promising young researchers, constitute a pioneer effort in bringing out the connections between probabilistic, causal and dispositional aspects of the quantum domain. The book will appeal to specialists in philosophy and foundations of physics, philosophy of science in general, metaphysics, ontology of physics theories, and philosophy of probability.


Probabilities in Physics

Probabilities in Physics
Author: Claus Beisbart
Publisher: Oxford University Press
Total Pages:
Release: 2011-09-15
Genre: Philosophy
ISBN: 0191618209

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Many results of modern physics—those of quantum mechanics, for instance—come in a probabilistic guise. But what do probabilistic statements in physics mean? Are probabilities matters of objective fact and part of the furniture of the world, as objectivists think? Or do they only express ignorance or belief, as Bayesians suggest? And how are probabilistic hypotheses justified and supported by empirical evidence? Finally, what does the probabilistic nature of physics imply for our understanding of the world? This volume is the first to provide a philosophical appraisal of probabilities in all of physics. Its main aim is to make sense of probabilistic statements as they occur in the various physical theories and models and to provide a plausible epistemology and metaphysics of probabilities. The essays collected here consider statistical physics, probabilistic modelling, and quantum mechanics, and critically assess the merits and disadvantages of objectivist and subjectivist views of probabilities in these fields. In particular, the Bayesian and Humean views of probabilities and the varieties of Boltzmann's typicality approach are examined. The contributions on quantum mechanics discuss the special character of quantum correlations, the justification of the famous Born Rule, and the role of probabilities in a quantum field theoretic framework. Finally, the connections between probabilities and foundational issues in physics are explored. The Reversibility Paradox, the notion of entropy, and the ontology of quantum mechanics are discussed. Other essays consider Humean supervenience and the question whether the physical world is deterministic.


Probability in Physics

Probability in Physics
Author: Yemima Ben-Menahem
Publisher: Springer Science & Business Media
Total Pages: 325
Release: 2012-01-25
Genre: Science
ISBN: 3642213286

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What is the role and meaning of probability in physical theory, in particular in two of the most successful theories of our age, quantum physics and statistical mechanics? Laws once conceived as universal and deterministic, such as Newton‘s laws of motion, or the second law of thermodynamics, are replaced in these theories by inherently probabilistic laws. This collection of essays by some of the world‘s foremost experts presents an in-depth analysis of the meaning of probability in contemporary physics. Among the questions addressed are: How are probabilities defined? Are they objective or subjective? What is their explanatory value? What are the differences between quantum and classical probabilities? The result is an informative and thought-provoking book for the scientifically inquisitive.


The Concept of Probability in Statistical Physics

The Concept of Probability in Statistical Physics
Author: Y. M. Guttmann
Publisher: Cambridge University Press
Total Pages: 283
Release: 1999-07-13
Genre: Mathematics
ISBN: 0521621283

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A most systematic study of how to interpret probabilistic assertions in the context of statistical mechanics.


Probability in Physics

Probability in Physics
Author: Andy Lawrence
Publisher:
Total Pages:
Release: 2019
Genre: Mathematical physics
ISBN: 9783030045432

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This textbook presents an introduction to the use of probability in physics, treating introductory ideas of both statistical physics and of statistical inference, as well the importance of probability in information theory, quantum mechanics, and stochastic processes, in a unified manner. The book also presents a harmonised view of frequentist and Bayesian approaches to inference, emphasising their complementary value. The aim is to steer a middle course between the "cookbook" style and an overly dry mathematical statistics style. The treatment is driven by real physics examples throughout, but developed with a level of mathematical clarity and rigour appropriate to mid-career physics undergraduates. Exercises and solutions are included.


Interpretations of Probability

Interpretations of Probability
Author: Andrei Khrennikov
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 228
Release: 2020-01-20
Genre: Mathematics
ISBN: 3110917777

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Like geometry, probability can not be reduced to just one model to describe all physical and biological phenomena. Each model has a restricted range of applications. Quantum physics demonstrated that the use of conventional probability models induces some paradoxes. Such paradoxes can be resolved by using non-Kolmogorov probability models, developed on the basis of purely classical interpretations of probability: frequency and ensemble. Frequency models describe violations of the law of large numbers. Ensemble models are models with infinitely small probabilities. This is the first fundamental book devoted to non-Kolmogorov probability models. It provides the first mathematical theory of negative probabilities - with numerous applications to quantum physics, information theory, complexity, biology and psychology. Natural models with negative (frequency and ensemble) probabilities are developed in the framework of so called p-adic analysis. The book also contains an extremely interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social and psychological phenomena. This book will be of value and interest to specialists in probability theory, statistics, functional analysis, quantum physics and (partly) specialists in cognitive sciences and psychology.


Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory

Probability, Information, And Physics: Problems With Quantum Mechanics In The Context Of A Novel Probability Theory
Author: Paolo Rocchi
Publisher: World Scientific
Total Pages: 286
Release: 2023-08-29
Genre: Mathematics
ISBN: 981127276X

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This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.


Reichenbach’s Paradise

Reichenbach’s Paradise
Author: Leszek Wronski
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 224
Release: 2014-01-01
Genre: Philosophy
ISBN: 3110399342

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Since its introduction by Hans Reichenbach, many philosophers have claimed to refute the idea – known as the common cause principle – that any surprising correlation between any two factors that do not directly influence one another is due to some common cause. For example, falsity of the principle is frequently inferred from falsifiability of Bell’s inequalities. The author demonstrates, however, that the situation is not so straightforward. There is more than one version of the principle formulated with the use of different variants of Reichenbach-inspired notions; their falsity still remains an open question. The book traces different formulations of the principle and provides proofs of a few pertinent theorems, settling the relevant questions in various probability spaces. In exploring mathematical and philosophical issues surrounding the principle, the book offers both philosophical insight and mathematical rigor.


Karl Popper's Science and Philosophy

Karl Popper's Science and Philosophy
Author: Zuzana Parusniková
Publisher: Springer Nature
Total Pages: 363
Release: 2021-07-19
Genre: Science
ISBN: 3030670368

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Of all philosophers of the 20th century, few built more bridges between academic disciplines than Karl Popper. He contributed to a wide variety of fields in addition to the epistemology and the theory of scientific method for which he is best known. This book illustrates and evaluates the impact, both substantive and methodological, that Popper has had in the natural and mathematical sciences. The topics selected include quantum mechanics, evolutionary biology, cosmology, mathematical logic, statistics, and cognitive science. The approach is multidisciplinary, opening a dialogue across scientific disciplines and between scientists and philosophers.