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Author: Andrei Khrennikov
Publisher: Walter de Gruyter
ISBN: 3110213192
Category : Mathematics
Languages : en
Pages : 241
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Book Description
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.
Author: Andrei Khrennikov
Publisher: Walter de Gruyter
ISBN: 3110213192
Category : Mathematics
Languages : en
Pages : 241
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Book Description
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.
Author: Donald Gillies
Publisher: Routledge
ISBN: 1134672454
Category : Philosophy
Languages : en
Pages : 239
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Book Description
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: Toby Handfield
Publisher: Cambridge University Press
ISBN: 110701378X
Category : Mathematics
Languages : en
Pages : 265
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Book Description
An introduction to the philosophy of chance which challenges realist accounts of chance.
Author: David Howie
Publisher: Cambridge University Press
ISBN: 1139434373
Category : Science
Languages : en
Pages : 276
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Book Description
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.
Author: Timothy Childers
Publisher: Oxford University Press, USA
ISBN: 0199661820
Category : Mathematics
Languages : en
Pages : 213
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Book Description
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: Jeremy Shearmur
Publisher: Cambridge University Press
ISBN: 0521856450
Category : Philosophy
Languages : en
Pages : 405
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Book Description
This is one of the most comprehensive collections of critical essays to be published on the philosophy of Karl Popper.
Author: Richard Jeffrey
Publisher: Cambridge University Press
ISBN: 9780521536684
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Sample Text
Author: Peter Müller
Publisher: Springer Nature
ISBN: 3030884864
Category : Science
Languages : en
Pages : 544
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Book Description
Our time is characterized by an explosive growth in the use of ever more complicated and sophisticated (computer) models. These models rely on dynamical systems theory for the interpretation of their results and on probability theory for the quantification of their uncertainties. A conscientious and intelligent use of these models requires that both these theories are properly understood. This book is to provide such understanding. It gives a unifying treatment of dynamical systems theory and probability theory. It covers the basic concepts and statements of these theories, their interrelations, and their applications to scientific reasoning and physics. The book stresses the underlying concepts and mathematical structures but is written in a simple and illuminating manner without sacrificing too much mathematical rigor. The book is aimed at students, post-docs, and researchers in the applied sciences who aspire to better understand the conceptual and mathematical underpinnings of the models that they use. Despite the peculiarities of any applied science, dynamics and probability are the common and indispensable tools in any modeling effort. The book is self-contained, with many technical aspects covered in appendices, but does require some basic knowledge in analysis, linear algebra, and physics. Peter Müller, now a professor emeritus at the University of Hawaii, has worked extensively on ocean and climate models and the foundations of complex system theories.
Author: Franz Huber
Publisher: Springer Science & Business Media
ISBN: 1402091982
Category : Philosophy
Languages : en
Pages : 352
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Book Description
This anthology is the first book to give a balanced overview of the competing theories of degrees of belief. It also explicitly relates these debates to more traditional concerns of the philosophy of language and mind and epistemic logic.
Author: Peter Whittle
Publisher: Springer Science & Business Media
ISBN: 9780387977645
Category : Mathematics
Languages : en
Pages : 324
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Book Description
A textbook for an introductory undergraduate course in probability theory, first published in 1970, and revised in 1976. The novelty of the approach is its basis on the subject's expectation rather than on probability measures. Assumes a fair degree of mathematical sophistication. Annotation copyrighted by Book News, Inc., Portland, OR
