Interpretations Of Probability
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Interpretations Of Probability
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Author : Andrei Khrennikov
language : en
Publisher: Walter de Gruyter
Release Date : 2009-02-26
Interpretations Of Probability written by Andrei Khrennikov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-26 with Mathematics categories.
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.
Interpretations Of Probability
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Author : Andreĭ I︠U︡rʹevich Khrennikov
language : en
Publisher:
Release Date : 1999
Interpretations Of Probability written by Andreĭ I︠U︡rʹevich Khrennikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Probabilities categories.
Philosophical Theories Of Probability
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Author : Donald Gillies
language : en
Publisher: Psychology Press
Release Date : 2000
Philosophical Theories Of Probability written by Donald Gillies and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
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.
Janus Faced Probability
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Author : Paolo Rocchi
language : en
Publisher: Springer
Release Date : 2014-04-25
Janus Faced Probability written by Paolo Rocchi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-25 with Mathematics categories.
The problem of probability interpretation was long overlooked before exploding in the 20th century, when the frequentist and subjectivist schools formalized two conflicting conceptions of probability. Beyond the radical followers of the two schools, a circle of pluralist thinkers tends to reconcile the opposing concepts. The author uses two theorems in order to prove that the various interpretations of probability do come into opposition and can be used in different contexts. The goal here is to clarify the multi fold nature of probability by means of a purely mathematical approach and to show how philosophical arguments can only serve to deepen actual intellectual contrasts. The book can be considered as one of the most important contributions in the analysis of probability interpretation in the last 10-15 years.
Probability
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Author : Darrell P. Rowbottom
language : en
Publisher: John Wiley & Sons
Release Date : 2015-10-30
Probability written by Darrell P. Rowbottom and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with Philosophy categories.
When a doctor tells you theres a one percent chance that an operation will result in your death, or a scientist claims that his theory is probably true, what exactly does that mean? Understanding probability is clearly very important, if we are to make good theoretical and practical choices. In this engaging and highly accessible introduction to the philosophy of probability, Darrell Rowbottom takes the reader on a journey through all the major interpretations of probability, with reference to real-world situations. In lucid prose, he explores the many fallacies of probabilistic reasoning, such as the gamblers fallacy and the inverse fallacy, and shows how we can avoid falling into these traps by using the interpretations presented. He also illustrates the relevance of the interpretation of probability across disciplinary boundaries, by examining which interpretations of probability are appropriate in diverse areas such as quantum mechanics, game theory, and genetics. Using entertaining dialogues to draw out the key issues at stake, this unique book will appeal to students and scholars across philosophy, the social sciences, and the natural sciences.
Truth Possibility And Probability
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Author : R. Chuaqui
language : en
Publisher: Elsevier
Release Date : 1991-06-20
Truth Possibility And Probability written by R. Chuaqui and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-06-20 with Mathematics categories.
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.
Philosophy Of Probability And Statistical Modelling
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Author : Mauricio Suárez
language : en
Publisher: Cambridge University Press
Release Date : 2021-01-21
Philosophy Of Probability And Statistical Modelling written by Mauricio Suárez 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 2021-01-21 with Philosophy categories.
This Element has two main aims. The first one (sections 1-7) is an historically informed review of the philosophy of probability. It describes recent historiography, lays out the distinction between subjective and objective notions, and concludes by applying the historical lessons to the main interpretations of probability. The second aim (sections 8-13) focuses entirely on objective probability, and advances a number of novel theses regarding its role in scientific practice. A distinction is drawn between traditional attempts to interpret chance, and a novel methodological study of its application. A radical form of pluralism is then introduced, advocating a tripartite distinction between propensities, probabilities and frequencies. Finally, a distinction is drawn between two different applications of chance in statistical modelling which, it is argued, vindicates the overall methodological approach. The ensuing conception of objective probability in practice is the 'complex nexus of chance'.
Interpreting Probability
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Author : David Howie
language : en
Publisher: Cambridge University Press
Release Date : 2002-08-08
Interpreting Probability written by David Howie 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 2002-08-08 with Science categories.
The term probability can be used in two main senses. In the frequency interpretation it is a limiting ratio in a sequence of repeatable events. In the Bayesian view, probability is a mental construct representing uncertainty. This 2002 book is about these two types of probability and investigates how, despite being adopted by scientists and statisticians in the eighteenth and nineteenth centuries, Bayesianism was discredited as a theory of scientific inference during the 1920s and 1930s. Through the examination of a dispute between two British scientists, the author argues that a choice between the two interpretations is not forced by pure logic or the mathematics of the situation, but depends on the experiences and aims of the individuals involved. The book should be of interest to students and scientists interested in statistics and probability theories and to general readers with an interest in the history, sociology and philosophy of science.
Probability In The Sciences
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Author : E. Agazzi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probability In The Sciences written by E. Agazzi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
Probability has become one of the most characteristic con cepts of modern culture, and a 'probabilistic way of thinking' may be said to have penetrated almost every sector of our in tellectual life. However it would be difficult to determine an explicit list of 'positive' features, to be proposed as identifica tion marks of this way of thinking. One would rather say that it is characterized by certain 'negative' features, i. e. by certain at titudes which appear to be the negation of well established tra ditional assumptions, conceptual frameworks, world outlooks and the like. It is because of this opposition to tradition that the probabilistic approach is perceived as expressing a 'modern' in tellectual style. As an example one could mention the widespread diffidence in philosophy with respect to self -contained systems claiming to express apodictic truths, instead of which much weaker pretensions are preferred, that express 'probable' interpretations of reality, of history, of man (the hermeneutic trend). An ana logous example is represented by the interest devoted to the study of different patterns of 'argumentation', dealing wiht reasonings which rely not so much on the truth of the premisses and stringent formal logic links, but on a display of contextual conditions (depending on the audience, and on accepted stan dards, judgements, and values), which render the premisses and the conclusions more 'probable' (the new rhetoric).
The Meaning Of The Concept Of Probability In Application To Finite Sequences Routledge Revivals
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Author : Hilary Putnam
language : en
Publisher: Routledge
Release Date : 2013-01-11
The Meaning Of The Concept Of Probability In Application To Finite Sequences Routledge Revivals written by Hilary Putnam and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Philosophy categories.
First published in 1990, this is a reissue of Professor Hilary Putnam’s dissertation thesis, written in 1951, which concerns itself with The Meaning of the Concept of Probability in Application to Finite Sequences and the problems of the deductive justification for induction. Written under the direction of Putnam’s mentor, Hans Reichenbach, the book considers Reichenbach’s idealization of very long finite sequences as infinite sequences and the bearing this has upon Reichenbach’s pragmatic vindication of induction.