An Objective Theory Of Probability
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An Objective Theory Of Probability
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Author : Donald Gillies
language : en
Publisher: Routledge
Release Date : 2012-03-02
An Objective Theory Of Probability written by Donald Gillies and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-02 with Mathematics categories.
This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises' views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises' definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. This of course raises the problem of how the abstract calculus of probability should be connected with the 'actual world of experiments'. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper's concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.
An Objective Theory Of Probability Routledge Revivals
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Author : Donald Gillies
language : en
Publisher: Taylor & Francis
Release Date : 2012-07-26
An Objective Theory Of Probability Routledge Revivals written by Donald Gillies and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-26 with Mathematics categories.
This reissue of D. A. Gillies highly influential work, first published in 1973, is a philosophical theory of probability which seeks to develop von Mises’ views on the subject. In agreement with von Mises, the author regards probability theory as a mathematical science like mechanics or electrodynamics, and probability as an objective, measurable concept like force, mass or charge. On the other hand, Dr Gillies rejects von Mises’ definition of probability in terms of limiting frequency and claims that probability should be taken as a primitive or undefined term in accordance with modern axiomatic approaches. This of course raises the problem of how the abstract calculus of probability should be connected with the ‘actual world of experiments’. It is suggested that this link should be established, not by a definition of probability, but by an application of Popper’s concept of falsifiability. In addition to formulating his own interesting theory, Dr Gillies gives a detailed criticism of the generally accepted Neyman Pearson theory of testing, as well as of alternative philosophical approaches to probability theory. The reissue will be of interest both to philosophers with no previous knowledge of probability theory and to mathematicians interested in the foundations of probability theory and statistics.
An Objective Theory Of Probability
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Author : D. A. Gillies
language : en
Publisher:
Release Date : 1978
An Objective Theory Of Probability written by D. A. Gillies and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.
Philosophical Theories Of Probability
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Author : Donald Gillies
language : en
Publisher: Routledge
Release Date : 2012-09-10
Philosophical Theories Of Probability written by Donald Gillies and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-10 with Philosophy categories.
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.
Probability Objectivity And Evidence
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Author : F. C. Benenson
language : en
Publisher: Taylor & Francis
Release Date : 2025-08-29
Probability Objectivity And Evidence written by F. C. Benenson and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-29 with Philosophy categories.
First published in 1984, in Probability, Objectivity and Evidence the author claims that the theory of probability provides a single, correct, analysis of probability and that the concept of probability employed in science can best be understood as that of inductive probability; to do so, it is necessary to show both how the logical relation theory of probability can be given a formulation sufficiently objective for the purposes of science, and how other attempts to explain the objective character of probability judgements are unsatisfactory. These and related questions occupy the first five chapters of the book. The last two chapters contain more or less independent material on the principle of indifference. The author argues that in essence, the logical relation theory alone can explain how we have objective knowledge of probabilities, and so it alone provides a viable system translation of the concept of probability used in science. This is a must read for students of logic and philosophy.
Theories Of Probability
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Author : Terrence L. Fine
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Theories Of Probability written by Terrence L. Fine and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
Theories of Probability: An Examination of Foundations reviews the theoretical foundations of probability, with emphasis on concepts that are important for the modeling of random phenomena and the design of information processing systems. Topics covered range from axiomatic comparative and quantitative probability to the role of relative frequency in the measurement of probability. Computational complexity and random sequences are also discussed. Comprised of nine chapters, this book begins with an introduction to different types of probability theories, followed by a detailed account of axiomatic formalizations of comparative and quantitative probability and the relations between them. Subsequent chapters focus on the Kolmogorov formalization of quantitative probability; the common interpretation of probability as a limit of the relative frequency of the number of occurrences of an event in repeated, unlinked trials of a random experiment; an improved theory for repeated random experiments; and the classical theory of probability. The book also examines the origin of subjective probability as a by-product of the development of individual judgments into decisions. Finally, it suggests that none of the known theories of probability covers the whole domain of engineering and scientific practice. This monograph will appeal to students and practitioners in the fields of mathematics and statistics as well as engineering and the physical and social sciences.
Probability Theory
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Author : E. T. Jaynes
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-10
Probability Theory written by E. T. Jaynes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-04-10 with Mathematics categories.
Index.
Including A Symposium On Ludwig Lachmann
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Author : Luca Fiorito
language : en
Publisher: Emerald Group Publishing
Release Date : 2019-08-19
Including A Symposium On Ludwig Lachmann written by Luca Fiorito and has been published by Emerald Group Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-19 with Business & Economics categories.
This volume of Research in the History of Economic Thought and Methodology features a symposium on the work of Ludwig Lachmann, and a collection of review essays of Nancy MacLean's Democracy in Chains.
Handbook Of The Logic Of Argument And Inference
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Author : R.H. Johnson
language : en
Publisher: Elsevier
Release Date : 2002-09-11
Handbook Of The Logic Of Argument And Inference written by R.H. Johnson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Computers categories.
The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments.
British Logic In The Nineteenth Century
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Author : Dov M. Gabbay
language : en
Publisher: Elsevier
Release Date : 2008-03-10
British Logic In The Nineteenth Century written by Dov M. Gabbay and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-10 with Mathematics categories.
The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic.- Detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic