Probability Theory And Probability Logic
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Probability Theory
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Author : E. T. Jaynes
language : en
Publisher: Cambridge University Press
Release Date : 2003-04-10
Probability Theory written by E. T. Jaynes 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 2003-04-10 with Mathematics categories.
Index.
Probability Theory And Probability Logic
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Author : Peter Roeper
language : en
Publisher: University of Toronto Press
Release Date : 1999-01-01
Probability Theory And Probability Logic written by Peter Roeper and has been published by University of Toronto Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Philosophy categories.
As a survey of many technical results in probability theory and probability logic, this monograph by two widely respected scholars offers a valuable compendium of the principal aspects of the formal study of probability. Hugues Leblanc and Peter Roeper explore probability functions appropriate for propositional, quantificational, intuitionistic, and infinitary logic and investigate the connections among probability functions, semantics, and logical consequence. They offer a systematic justification of constraints for various types of probability functions, in particular, an exhaustive account of probability functions adequate for first-order quantificational logic. The relationship between absolute and relative probability functions is fully explored and the book offers a complete account of the representation of relative functions by absolute ones. The volume is designed to review familiar results, to place these results within a broad context, and to extend the discussions in new and interesting ways. Authoritative, articulate, and accessible, it will interest mathematicians and philosophers at both professional and post-graduate levels.
The Theory Of Probability
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Author : Hans Reichenbach
language : en
Publisher: Univ of California Press
Release Date : 1971
The Theory Of Probability written by Hans Reichenbach and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.
Probability Theory
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Author : Edwin T. Jaynes
language : en
Publisher:
Release Date : 2002
Probability Theory written by Edwin T. Jaynes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Theories Of Probability
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Author : Louis Narens
language : en
Publisher: World Scientific
Release Date : 2007
Theories Of Probability written by Louis Narens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This first-of-its-kind book is primarily based on qualitative approaches to probabilistic-like uncertainty, and includes qualitative theories for the standard theory as well as several of its generalizations.One of these generalizations produces a belief function composed of two functions: a probability function that measures the probabilistic strength of an uncertain event, and another function that measures the amount of ambiguity or vagueness of the event. Another unique approach of the book is to change the event space from a boolean algebra, which is closely linked to classical propositional logic, to a different event algebra that is closely linked to a well-studied generalization of classical propositional logic known as intuitionistic logic. Together, these new qualitative theories succeed where the standard probability theory fails by accounting for a number of puzzling empirical findings in the psychology of human probability judgments and decision making.
Philosophy Of Probability
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Author : Jacques Dubucs
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-09-30
Philosophy Of Probability written by Jacques Dubucs 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 1993-09-30 with Philosophy categories.
Philosophy of Probability provides a comprehensive introduction to theoretical issues that occupy a central position in disciplines ranging from philosophy of mind and epistemology to cognitive science, decision theory and artificial intelligence. Some contributions shed new light on the standard conceptions of probability (Bayesianism, logical and computational theories); others offer detailed analyses of two important topics in the field of cognitive science: the meaning and the representation of (partial) belief, and the management of uncertainty. The authors of this well-balanced account are philosophers as well as computer scientists (among them, L.J. Cohen, D. Miller, P. Gärdenfors, J. Vickers, D. Dubois and H. Prade). This multidisciplinary approach to probability is designed to illuminate the intricacies of the problems in the domain of cognitive inquiry. No one interested in epistemology or aritificial intelligence will want to miss it.
Boole S Logic And Probability
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Author : T. Hailperin
language : en
Publisher: Elsevier
Release Date : 1986-10-01
Boole S Logic And Probability written by T. Hailperin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-01 with Mathematics categories.
Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition. Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically and syntactically. Chapter 3 now includes a revival of Boole's abandoned propositional logic and, also, a discussion of his hitherto unnoticed brush with ancient formal logic. Chapter 5 has an improved explanation of why Boole's probability method works. Chapter 6, Applications and Probability Logic, is a new addition. Changes from the first edition have brought about a three-fold increase in the bibliography.
Chance And Structure
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Author : John M. Vickers
language : en
Publisher:
Release Date : 1988
Chance And Structure written by John M. Vickers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Discussing the relations between logic and probability, this book compares classical 17th- and 18th-century theories of probability with contemporary theories, explores recent logical theories of probability, and offers a new account of probability as a part of logic.
Probability Logics
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Author : Zoran Ognjanović
language : en
Publisher: Springer
Release Date : 2016-10-24
Probability Logics written by Zoran Ognjanović and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-24 with Mathematics categories.
The aim of this book is to provide an introduction to probability logic-based formalization of uncertain reasoning. The authors' primary interest is mathematical techniques for infinitary probability logics used to obtain results about proof-theoretical and model-theoretical issues such as axiomatizations, completeness, compactness, and decidability, including solutions of some problems from the literature. An extensive bibliography is provided to point to related work, and this book may serve as a basis for further research projects, as a reference for researchers using probability logic, and also as a textbook for graduate courses in logic.
Probabilistic Logic In A Coherent Setting
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Author : Giulianella Coletti
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probabilistic Logic In A Coherent Setting written by Giulianella Coletti 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 Philosophy categories.
The approach to probability theory followed in this book (which differs radically from the usual one, based on a measure-theoretic framework) characterizes probability as a linear operator rather than as a measure, and is based on the concept of coherence, which can be framed in the most general view of conditional probability. It is a `flexible' and unifying tool suited for handling, e.g., partial probability assessments (not requiring that the set of all possible `outcomes' be endowed with a previously given algebraic structure, such as a Boolean algebra), and conditional independence, in a way that avoids all the inconsistencies related to logical dependence (so that a theory referring to graphical models more general than those usually considered in bayesian networks can be derived). Moreover, it is possible to encompass other approaches to uncertain reasoning, such as fuzziness, possibility functions, and default reasoning. The book is kept self-contained, provided the reader is familiar with the elementary aspects of propositional calculus, linear algebra, and analysis.