An Objective Theory of Probability (Routledge Revivals)

An Objective Theory of Probability (Routledge Revivals)
Author: Donald Gillies
Publisher: Routledge
Total Pages: 264
Release: 2012-07-26
Genre: Mathematics
ISBN: 1136810811

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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.

Philosophical Theories of Probability

Philosophical Theories of Probability
Author: Donald Gillies
Publisher: Psychology Press
Total Pages: 246
Release: 2000
Genre: Mathématiques
ISBN: 9780415182768

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The use of probability and statistics has increased dramatically in all fields of research. This book presents an account of the resultant philosophical theories of probability and explains how they relate to one another.

Philosophical Theories of Probability

Philosophical Theories of Probability
Author: Donald Gillies
Publisher: Routledge
Total Pages: 238
Release: 2012-09-10
Genre: Philosophy
ISBN: 1134672462

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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.

Scientific Reasoning

Scientific Reasoning
Author: Colin Howson
Publisher: Open Court Publishing
Total Pages: 344
Release: 2006
Genre: Philosophy
ISBN: 081269578X

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In this clearly reasoned defense of Bayes's Theorem -- that probability can be used to reasonably justify scientific theories -- Colin Howson and Peter Urbach examine the way in which scientists appeal to probability arguments, and demonstrate that the classical approach to statistical inference is full of flaws. Arguing the case for the Bayesian method with little more than basic algebra, the authors show that it avoids the difficulties of the classical system. The book also refutes the major criticisms leveled against Bayesian logic, especially that it is too subjective. This newly updated edition of this classic textbook is also suitable for college courses.

Dispositions

Dispositions
Author: R. Tuomela
Publisher: Springer Science & Business Media
Total Pages: 452
Release: 2013-04-17
Genre: Science
ISBN: 9401712824

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This anthology consists of a collection of papers on the nature of dis positions and the role of disposition concepts in scientific theories. I have tried to make the collection as representative as possible, except that problems specifically connected with dispositions in various special sciences are relatively little discussed. Most of these articles have been previously published. The papers by Mackie, Essler and Trapp, Fetzer (in Section 11), Levi, and Tuomela appear here for the first time, and are simultaneously published in Synthese 34, No. 4, which is a special issue on dispositions. Of the previously published material it should be emphasized that the papers by Hempel and Fisk have been extensively revised specially for this anthology. The papers are grouped in four sections, partlyon the basis of their content. However, due to the complexity of the issues involved, there is considerable overlap in content between the different sections, especially between Sections land 11. I wish to thank Professors James Fetzer and Carl G. Hempel for helpful advicc in compiling this anthology.

Creative Understanding

Creative Understanding
Author: Roberto Torretti
Publisher: University of Chicago Press
Total Pages: 388
Release: 2010-12-15
Genre: Science
ISBN: 0226807827

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"A pleasure to read. Gracefully written by a scholar well grounded in the relevant philosophical, historical, and technical background. . . . a helpfully clarifying review and analysis of some issues of importance to recent philosophy of science and a source of some illuminating insights."—Burke Townsend, Philosophy of Science

What If There Were No Significance Tests?

What If There Were No Significance Tests?
Author: Lisa L. Harlow
Publisher: Routledge
Total Pages: 445
Release: 2016-03-02
Genre: Psychology
ISBN: 1317242858

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The classic edition of What If There Were No Significance Tests? highlights current statistical inference practices. Four areas are featured as essential for making inferences: sound judgment, meaningful research questions, relevant design, and assessing fit in multiple ways. Other options (data visualization, replication or meta-analysis), other features (mediation, moderation, multiple levels or classes), and other approaches (Bayesian analysis, simulation, data mining, qualitative inquiry) are also suggested. The Classic Edition’s new Introduction demonstrates the ongoing relevance of the topic and the charge to move away from an exclusive focus on NHST, along with new methods to help make significance testing more accessible to a wider body of researchers to improve our ability to make more accurate statistical inferences. Part 1 presents an overview of significance testing issues. The next part discusses the debate in which significance testing should be rejected or retained. The third part outlines various methods that may supplement significance testing procedures. Part 4 discusses Bayesian approaches and methods and the use of confidence intervals versus significance tests. The book concludes with philosophy of science perspectives. Rather than providing definitive prescriptions, the chapters are largely suggestive of general issues, concerns, and application guidelines. The editors allow readers to choose the best way to conduct hypothesis testing in their respective fields. For anyone doing research in the social sciences, this book is bound to become "must" reading. Ideal for use as a supplement for graduate courses in statistics or quantitative analysis taught in psychology, education, business, nursing, medicine, and the social sciences, the book also benefits independent researchers in the behavioral and social sciences and those who teach statistics.

Rationality and Reality

Rationality and Reality
Author: Colin Cheyne
Publisher: Springer Science & Business Media
Total Pages: 336
Release: 2006-07-25
Genre: Philosophy
ISBN: 1402042078

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Alan Musgrave has consistently defended two positions that he regards as commonsensical: critical realism and critical rationalism. In this volume a group of internationally-renowned authors discuss themes that are relevant in one way or another to Musgrave’s work. Rather than a standard celebratory festschrift, this book offers a new examination of topics of current interest in philosophy. The contributory essays are followed by responses from Alan Musgrave himself.