An Objective Theory of Probability (Routledge Revivals)

Nonfiction, Science & Nature, Mathematics, History, Statistics, Religion & Spirituality, Philosophy
Cover of the book An Objective Theory of Probability (Routledge Revivals) by Donald Gillies, Taylor and Francis
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Donald Gillies ISBN: 9781136810817
Publisher: Taylor and Francis Publication: July 26, 2012
Imprint: Routledge Language: English
Author: Donald Gillies
ISBN: 9781136810817
Publisher: Taylor and Francis
Publication: July 26, 2012
Imprint: Routledge
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Taylor and Francis

Cover of the book The Indian Ocean by Donald Gillies
Cover of the book Mapping the Rural Problem in the Baltic Countryside by Donald Gillies
Cover of the book Group Performance And Interaction by Donald Gillies
Cover of the book Emotions in Late Modernity by Donald Gillies
Cover of the book Spirituality Matters in Social Work by Donald Gillies
Cover of the book Who Killed Shakespeare by Donald Gillies
Cover of the book Learning with Computers by Donald Gillies
Cover of the book Routledge History of Philosophy Volume IV by Donald Gillies
Cover of the book Research in science education in Europe by Donald Gillies
Cover of the book Nationalism and Global Solidarities by Donald Gillies
Cover of the book The Architecture of Light by Donald Gillies
Cover of the book The Origins of Civic Universities by Donald Gillies
Cover of the book Religion and the Secular by Donald Gillies
Cover of the book The Works of Charles Darwin: Vol 13: A Monograph on the Sub-Class Cirripedia (1854), Vol II, Part 2 by Donald Gillies
Cover of the book Theories of Democracy by Donald Gillies
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy