Philosophical Foundations Of Probability Theory
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Author | : Roy Weatherford |
Publisher | : Taylor & Francis |
Total Pages | : 220 |
Release | : 2022-06-01 |
Genre | : Philosophy |
ISBN | : 1000626091 |
Download Philosophical Foundations of Probability Theory Book in PDF, Epub and Kindle
First published in 1982, Philosophical Foundations of Probability Theory starts with the uses we make of the concept in everyday life and then examines the rival theories that seek to account for these applications. It offers a critical exposition of the major philosophical theories of probability, with special attention given to the metaphysical and epistemological assumptions and implications of each. The Classical Theory suggests probability is simply the ratio of favorable cases to all equi-possible cases: it is this theory that is relied on by gamblers and by most non-specialists. The A Priori Theory, on the other hand, describes probability as a logical relation between statements based on evidence. The Relative Frequency theories locate it not in logic but among empirical rates of occurrence in the real world, while the Subjectivist Theory identifies probability with the degree of a person’s belief in a proposition. Each of these types of theory is examined in turn, and the treatment is unified by the use of running examples and parallel analyses of each theory. The final chapter includes a summary and the author’s conclusions. This book is an essential read for scholars and researchers of Philosophy.
Author | : Roy Weatherford |
Publisher | : Taylor & Francis |
Total Pages | : 297 |
Release | : 2022-06-01 |
Genre | : Philosophy |
ISBN | : 1000626032 |
Download Philosophical Foundations of Probability Theory Book in PDF, Epub and Kindle
First published in 1982, Philosophical Foundations of Probability Theory starts with the uses we make of the concept in everyday life and then examines the rival theories that seek to account for these applications. It offers a critical exposition of the major philosophical theories of probability, with special attention given to the metaphysical and epistemological assumptions and implications of each. The Classical Theory suggests probability is simply the ratio of favorable cases to all equi-possible cases: it is this theory that is relied on by gamblers and by most non-specialists. The A Priori Theory, on the other hand, describes probability as a logical relation between statements based on evidence. The Relative Frequency theories locate it not in logic but among empirical rates of occurrence in the real world, while the Subjectivist Theory identifies probability with the degree of a person’s belief in a proposition. Each of these types of theory is examined in turn, and the treatment is unified by the use of running examples and parallel analyses of each theory. The final chapter includes a summary and the author’s conclusions. This book is an essential read for scholars and researchers of Philosophy.
Author | : Roy Weatherford |
Publisher | : Routledge & Kegan Paul Books |
Total Pages | : 304 |
Release | : 1982 |
Genre | : Probabilities |
ISBN | : |
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Author | : Donald Gillies |
Publisher | : Routledge |
Total Pages | : 264 |
Release | : 2012-07-26 |
Genre | : Mathematics |
ISBN | : 1136810811 |
Download An Objective Theory of Probability (Routledge Revivals) Book in PDF, Epub and Kindle
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.
Author | : Vincent F. Hendricks |
Publisher | : Springer Science & Business Media |
Total Pages | : 222 |
Release | : 2001-06-30 |
Genre | : Mathematics |
ISBN | : 9780792369523 |
Download Probability Theory Book in PDF, Epub and Kindle
A collection of papers presented at the conference on Probability Theory - Philosophy, Recent History and Relations to Science, University of Roskilde, Denmark, September 16-18, 1998. Since the measure theoretical definition of probability was proposed by Kolmogorov, probability theory has developed into a mature mathematical theory. It is today a fruitful field of mathematics that has important applications in philosophy, science, engineering, and many other areas. The measure theoretical definition of probability and its axioms, however, are not without their problems; some of them even puzzled Kolmogorov. This book sheds light on some recent discussions of the problems in probability theory and their history, analysing their philosophical and mathematical significance, and the role pf mathematical probability theory in other sciences.
Author | : Donald Gillies |
Publisher | : Routledge |
Total Pages | : 238 |
Release | : 2012-09-10 |
Genre | : Philosophy |
ISBN | : 1134672462 |
Download Philosophical Theories of Probability Book in PDF, Epub and Kindle
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.
Author | : Jan von Plato |
Publisher | : Cambridge University Press |
Total Pages | : 336 |
Release | : 1998-01-12 |
Genre | : Mathematics |
ISBN | : 9780521597357 |
Download Creating Modern Probability Book in PDF, Epub and Kindle
In this book the author charts the history and development of modern probability theory.
Author | : Timothy Childers |
Publisher | : Oxford University Press, USA |
Total Pages | : 213 |
Release | : 2013-05-30 |
Genre | : Mathematics |
ISBN | : 0199661820 |
Download Philosophy and Probability Book in PDF, Epub and Kindle
Probability is increasingly important for our understanding of the world. What is probability? How do we model it, and how do we use it? Timothy Childers presents a lively introduction to the foundations of probability and to philosophical issues it raises. He keeps technicalities to a minimum, and assumes no prior knowledge of the subject. He explains the main interpretations of probability-frequentist, propensity, classical, Bayesian, and objective Bayesian-and uses stimulating examples to bring the subject to life. All students of philosophy will benefit from an understanding of probability, and this is the book to provide it.
Author | : Pierre Simon Marquis De Laplace |
Publisher | : Cosimo, Inc. |
Total Pages | : 209 |
Release | : 2007-04-01 |
Genre | : Mathematics |
ISBN | : 1602063281 |
Download A Philosophical Essay on Probabilities Book in PDF, Epub and Kindle
In this, his most famous work, Pierre-Simon, Marquis de Laplace lays out a system for reasoning based on probability. The single most famous piece introduced in this work is the rule of succession, which calculates the probability that a trial will be a success based on the number of times it has succeeded in the past. Students of mathematics will find A Philosophical Essay on Probabilities an essential read for understanding this complex field of study and applying its truths to their lives. French mathematician PIERRE-SIMON, MARQUIS DE LAPLACE (1749-1827) was essential in the formation of mathematical physics. He spent much of his life working on mathematical astronomy and even suggested the existence of black holes. Laplace is also known for his work on probability.
Author | : W.L. Harper |
Publisher | : Springer Science & Business Media |
Total Pages | : 334 |
Release | : 1976 |
Genre | : Gardening |
ISBN | : 9789027706171 |
Download Foundations and Philosophy of Epistemic Applications of Probability Theory Book in PDF, Epub and Kindle
Proceedings of an International Research Colloquium held at the University of Western Ontario, 10-13 May 1973.