Download or read book The Concept of Probability in the Mathematical Representation of Reality written by Hans Reichenbach and published by Full Circle. This book was released on 2008 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first English translation of Hans Reichenbach's lucid doctoral thesis sheds new light on how Kant's Critique of Pure Reason was understood in some quarters at the time. The source of several themes in his still influential The Direction of Time, the thesis shows Reichenbach's early focus on the interdependence of physics, probability, and epistemology.

Download or read book The Mathematical Representation of Physical Reality written by Shahen Hacyan and published by Springer Nature. This book was released on 2023-03-06 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: ​This book deals with the rise of mathematics in physical sciences, beginning with Galileo and Newton and extending to the present day. The book is divided into two parts. The first part gives a brief history of how mathematics was introduced into physics—despite its "unreasonable effectiveness" as famously pointed out by a distinguished physicist—and the criticisms it received from earlier thinkers. The second part takes a more philosophical approach and is intended to shed some light on that mysterious effectiveness. For this purpose, the author reviews the debate between classical philosophers on the existence of innate ideas that allow us to understand the world and also the philosophically based arguments for and against the use of mathematics in physical sciences. In this context, Schopenhauer’s conceptions of causality and matter are very pertinent, and their validity is revisited in light of modern physics. The final question addressed is whether the effectiveness of mathematics can be explained by its “existence” in an independent platonic realm, as Gödel believed. The book aims at readers interested in the history and philosophy of physics. It is accessible to those with only a very basic (not professional) knowledge of physics.

Download or read book The Cambridge History of Philosophy 1870 1945 written by Thomas Baldwin and published by Cambridge University Press. This book was released on 2003-11-27 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Download or read book Quantum Probability and Randomness written by Andrei Khrennikov and published by MDPI. This book was released on 2019-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have been characterized by a tremendous development of quantum information and probability and their applications, including quantum computing, quantum cryptography, and quantum random generators. In spite of the successful development of quantum technology, its foundational basis is still not concrete and contains a few sandy and shaky slices. Quantum random generators are one of the most promising outputs of the recent quantum information revolution. Therefore, it is very important to reconsider the foundational basis of this project, starting with the notion of irreducible quantum randomness. Quantum probabilities present a powerful tool to model uncertainty. Interpretations of quantum probability and foundational meaning of its basic tools, starting with the Born rule, are among the topics which will be covered by this issue. Recently, quantum probability has started to play an important role in a few areas of research outside quantum physics—in particular, quantum probabilistic treatment of problems of theory of decision making under uncertainty. Such studies are also among the topics of this issue.

Download or read book Philosophical Theories of Probability written by Donald Gillies and published by Routledge. This book was released on 2012-09-10 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Twentieth Century has seen a dramatic rise in the use of probability and statistics in almost all fields of research. This has stimulated many new philosophical ideas on probability. Philosophical Theories of Probability is the first book to present a clear, comprehensive and systematic account of these various theories and to explain how they relate to one another. Gillies also offers a distinctive version of the propensity theory of probability, and the intersubjective interpretation, which develops the subjective theory.

Download or read book Interpretations of Probability written by Andrei Khrennikov and published by Walter de Gruyter. This book was released on 2009-02-26 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first fundamental book devoted to non-Kolmogorov probability models. It provides a mathematical theory of negative probabilities, with numerous applications to quantum physics, information theory, complexity, biology and psychology. The book also presents an interesting model of cognitive information reality with flows of information probabilities, describing the process of thinking, social, and psychological phenomena.

Download or read book Introduction to Probability written by David F. Anderson and published by Cambridge University Press. This book was released on 2017-11-02 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Download or read book One Hundred Years of Gauge Theory written by Silvia De Bianchi and published by Springer Nature. This book was released on 2020-11-03 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world’s leading theoretical physicists, mathematicians, historians and philosophers of science. The contributions from theoretical physics explore e.g. the consistency of the unification of gravitation and quantum theory, the underpinnings of experimental tests of gauge theory and its role in shedding light on the relationship between mathematics and physics. In turn, historians and philosophers of science assess the impact of Weyl’s view on the philosophy of science. Graduate students, lecturers and researchers in the fields of history of science, theoretical physics and philosophy of science will benefit from this book by learning about the role played by Weyl’s Raum-Zeit-Materie in shaping several modern research fields, and by gaining insights into the future prospects of gauge theory in both theoretical and experimental physics. Furthermore, the book facilitates interdisciplinary exchange and conceptual innovation in tackling fundamental questions about our deepest theories of physics. Chapter “Weyl’s Raum-Zeit-Materie and the Philosophy of Science” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com

Download or read book The Routledge Handbook of Logical Empiricism written by Thomas Uebel and published by Routledge. This book was released on 2021-12-27 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logical empiricism is a philosophical movement that flourished in the 1920s and 30s in Central Europe and in the 1940s and 50s in the United States. With its stated ambition to comprehend the revolutionary advances in the empirical and formal sciences of their day and to confront anti-modernist challenges to scientific reason itself, logical empiricism was never uncontroversial. Uniting key thinkers who often disagreed with one another but shared the aim to conceive of philosophy as part of the scientific enterprise, it left a rich and varied legacy that has only begun to be explored relatively recently. The Routledge Handbook of Logical Empiricism is an outstanding reference source to this challenging subject area, and the first collection of its kind. Comprising 41 chapters written by an international and interdisciplinary team of contributors, the Handbook is organized into four clear parts: The Cultural, Scientific and Philosophical Context and the Development of Logical Empiricism Characteristic Theses of and Specific Issues in Logical Empiricism Relations to Philosophical Contemporaries Leading Post-Positivist Criticisms and Legacy Essential reading for students and researchers in the history of twentieth-century philosophy, especially the history of analytical philosophy and the history of philosophy of science, the Handbook will also be of interest to those working in related areas of philosophy influenced by this important movement, including metaphysics and epistemology, philosophy of mind and philosophy of language.

Download or read book Creating Modern Probability written by Jan von Plato and published by Cambridge University Press. This book was released on 1998-01-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author charts the history and development of modern probability theory.

Download or read book Probability Theory written by and published by Allied Publishers. This book was released on 2013 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory

Download or read book Measurement and Probability written by Giovanni Battista Rossi and published by Springer. This book was released on 2014-05-19 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement plays a fundamental role both in physical and behavioral sciences, as well as in engineering and technology: it is the link between abstract models and empirical reality and is a privileged method of gathering information from the real world. Is it possible to develop a single theory of measurement for the various domains of science and technology in which measurement is involved? This book takes the challenge by addressing the following main issues: What is the meaning of measurement? How do we measure? What can be measured? A theoretical framework that could truly be shared by scientists in different fields, ranging from physics and engineering to psychology is developed. The future in fact will require greater collaboration between science and technology and between different sciences. Measurement, which played a key role in the birth of modern science, can act as an essential interdisciplinary tool and language for this new scenario. A sound theoretical basis for addressing key problems in measurement is provided. These include perceptual measurement, the evaluation of uncertainty, the evaluation of inter-comparisons, the analysis of risks in decision-making and the characterization of dynamical measurement. Currently, increasing attention is paid to these issues due to their scientific, technical, economic and social impact. The book proposes a unified probabilistic approach to them which may allow more rational and effective solutions to be reached. Great care was taken to make the text as accessible as possible in several ways. Firstly, by giving preference to as interdisciplinary a terminology as possible; secondly, by carefully defining and discussing all key terms. This ensures that a wide readership, including people from different mathematical backgrounds and different understandings of measurement can all benefit from this work. Concerning mathematics, all the main results are preceded by intuitive discussions and illustrated by simple examples. Moreover, precise proofs are always included in order to enable the more demanding readers to make conscious and creative use of these ideas, and also to develop new ones. The book demonstrates that measurement, which is commonly understood to be a merely experimental matter, poses theoretical questions which are no less challenging than those arising in other, apparently more theoretical, disciplines.

Download or read book Estimating and Choosing written by Georges Matheron and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ever since the beginning of modern probability theory in the seventeenth century there has been a continuous debate over the meaning and applicability of the concept of probability. This book presents a coherent and well thoughtout framework for the use of probabilistic models to describe unique phenomena in a purely objective way. Although Estimating and Choosing was written with geostatistical applications in mind, the approach is of general applicability across the whole spectrum of probabilistic modelling. The only full-fledged treatment of the foundations of practical probability modelling ever written, this book fills an important gap in the literature of probability and statistics.

Download or read book Mathematics and Reality written by Mary Leng and published by Oxford University Press. This book was released on 2010-04-22 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mary Leng defends a philosophical account of the nature of mathematics which views it as a kind of fiction (albeit an extremely useful fiction). On this view, the claims of our ordinary mathematical theories are more closely analogous to utterances made in the context of storytelling than to utterances whose aim is to assert literal truths.

Download or read book Chance in Evolution written by Grant Ramsey and published by University of Chicago Press. This book was released on 2016-10-25 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating volume explores the effects of chance on evolution, covering diverse perspectives from scientists, philosophers, and historians. The evolution of species, from single-celled organisms to multicellular animals and plants, is the result of a long and highly chancy history. But how profoundly has chance shaped life on earth? And what, precisely, do we mean by chance? Bringing together biologists, philosophers of science, and historians of science, Chance in Evolution is the first book to untangle the far-reaching effects of chance, contingency, and randomness on the evolution of life. The book begins by placing chance in historical context, starting with the ancients and moving through Darwin to contemporary biology. It documents the shifts in our understanding of chance as Darwin’s theory of evolution developed into the modern synthesis, and how the acceptance of chance in Darwinian theory affected theological resistance to it. Other chapters discuss how chance relates to the concepts of genetic drift, mutation, and parallel evolution—as well as recent work in paleobiology and the experimental evolution of microbes. By engaging in collaboration across biology, history, philosophy, and theology, this book offers a comprehensive overview both of the history of chance in evolution and of our current understanding of the impact of chance on life.

Download or read book Logical Empiricism and the Physical Sciences written by Sebastian Lutz and published by Taylor & Francis. This book was released on 2021-04-26 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume has two primary aims: to trace the traditions and changes in methods, concepts, and ideas that brought forth the logical empiricists’ philosophy of physics and to present and analyze the logical empiricists’ various and occasionally contrary ideas about the physical sciences and their philosophical relevance. These original chapters discuss these developments in their original contexts and social and institutional environments, thus showing the various fruitful conceptions and philosophies behind the history of 20th-century philosophy of science. Logical Empiricism and the Natural Sciences is divided into three thematic sections. Part I surveys the influences on logical empiricism’s philosophy of science and physics. It features chapters on Maxwell’s role in the worldview of logical empiricism, on Reichenbach’s account of objectivity, on the impact of Poincaré on Neurath’s early views on scientific method, Frank’s exchanges with Einstein about philosophy of physics, and on the forgotten role of Kurt Grelling. Part II focuses on specific physical theories, including Carnap’s and Reichenbach’s positions on Einstein’s theory of general relativity, Reichenbach’s critique of unified field theory, and the logical empiricists’ reactions to quantum mechanics. The third and final group of chapters widens the scope to philosophy of science and physics in general. It includes contributions on von Mises’ frequentism; Frank’s account of concept formation and confirmation; and the interrelations between Nagel’s, Feigl’s, and Hempel’s versions of logical empiricism. This book offers a comprehensive account of the logical empiricists’ philosophy of physics. It is a valuable resource for researchers interested in the history and philosophy of science, philosophy of physics, and the history of analytic philosophy.

Download or read book Truth Possibility and Probability written by R. Chuaqui and published by Elsevier. This book was released on 1991-06-20 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone involved in the philosophy of science is naturally drawn into the study of the foundations of probability. Different interpretations of probability, based on competing philosophical ideas, lead to different statistical techniques, and frequently to mutually contradictory consequences. This unique book presents a new interpretation of probability, rooted in the traditional interpretation that was current in the 17th and 18th centuries. Mathematical models are constructed based on this interpretation, and statistical inference and decision theory are applied, including some examples in artificial intelligence, solving the main foundational problems. Nonstandard analysis is extensively developed for the construction of the models and in some of the proofs. Many nonstandard theorems are proved, some of them new, in particular, a representation theorem that asserts that any stochastic process can be approximated by a process defined over a space with equiprobable outcomes.