Download or read book Probability Theory written by and published by Allied Publishers. This book was released on 2013 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability theory
Download or read book Probability Theory written by E. T. Jaynes and published by Cambridge University Press. This book was released on 2003-04-10 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt: Index.
Download or read book Model Theory of Stochastic Processes written by Sergio Fajardo and published by CRC Press. This book was released on 2002-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new research in probability theory using ideas from mathematical logic. It is a general study of stochastic processes on adapted probability spaces, employing the concept of similarity of stochastic processes based on the notion of adapted distribution. The authors use ideas from model theory and methods from nonstandard analysis
Download or read book Model Theory of Probability Logic written by Douglas Neil Hoover and published by . This book was released on 1978 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Contributions to the Model Theory of Probability Logics written by Sergio Fajardo and published by . This book was released on 1984 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Philosophy of Probability written by Jacques Dubucs and published by Springer Science & Business Media. This book was released on 1993-09-30 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Probability Logics written by Zoran Ognjanović and published by Springer. This book was released on 2016-10-24 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Sentential Probability Logic written by Theodore Hailperin and published by . This book was released on 1996-11-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A logic in which probability values play a semantic role comparable to that of truth values in conditional logic is presented in this book.
Download or read book The Theory of Probability written by Hans Reichenbach and published by Univ of California Press. This book was released on 1971 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Model Theoretic Logics written by J. Barwise and published by Cambridge University Press. This book was released on 2017-03-02 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the eighth publication in the Perspectives in Logic series, brings together several directions of work in model theory between the late 1950s and early 1980s. It contains expository papers by pre-eminent researchers. Part I provides an introduction to the subject as a whole, as well as to the basic theory and examples. The rest of the book addresses finitary languages with additional quantifiers, infinitary languages, second-order logic, logics of topology and analysis, and advanced topics in abstract model theory. Many chapters can be read independently.
Download or read book Boole s Logic and Probability written by T. Hailperin and published by Elsevier. This book was released on 1986-10-01 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Beyond First Order Model Theory Volume I written by Jose Iovino and published by CRC Press. This book was released on 2017-08-14 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Model theory is one of the central branches of mathematical logic. The field has evolved rapidly in the last few decades. This book is an introduction to current trends in model theory, and contains a collection of articles authored by top researchers in the field. It is intended as a reference for students as well as senior researchers.
Download or read book Scenario Logic and Probabilistic Management of Risk in Business and Engineering written by Evgueni D. Solojentsev and published by Springer Science & Business Media. This book was released on 2006-07-21 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the methodological aspects of the scenario logic and probabilistic (LP) non-success risk management are considered. The theoretical bases of scenario non-success risk LP-management in business and engineering are also stated. Methods and algorithms for the scenario risk LP-management in problems of classification, investment and effectiveness are described. Risk LP- models and results of numerical investigations for credit risks, risk of frauds, security portfolio risk, risk of quality, accuracy, and risk in multi-stage systems reliability are given. In addition, a rather large number of new problems of estimation, analysis and management of risk are considered. Software for risk problems based on LP-methods, LP-theory, and GIE is described too.
Download or read book Truth Possibility and Probability written by R. Chuaqui and published by Elsevier. This book was released on 1991-06-20 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Probability Theory written by Edwin T. Jaynes and published by . This book was released on 2015 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Logic with a Probability Semantics written by Theodore Hailperin and published by Lehigh University Press. This book was released on 2010-12-16 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present study is an extension of the topic introduced in Dr. Hailperin's Sentential Probability Logic, where the usual true-false semantics for logic is replaced with one based more on probability, and where values ranging from 0 to 1 are subject to probability axioms. Moreover, as the word 'sentential' in the title of that work indicates, the language there under consideration was limited to sentences constructed from atomic (not inner logical components) sentences, by use of sentential connectives ('no,' 'and,' 'or,' etc.) but not including quantifiers ('for all,' 'there is'). An initial introduction presents an overview of the book. In chapter one, Halperin presents a summary of results from his earlier book, some of which extends into this work. It also contains a novel treatment of the problem of combining evidence: how does one combine two items of interest for a conclusion-each of which separately impart a probability for the conclusion-so as to have a probability for the conclusion based on taking both of the two items of interest as evidence? Chapter two enlarges the Probability Logic from the first chapter in two respects: the language now includes quantifiers ('for all,' and 'there is') whose variables range over atomic sentences, not entities as with standard quantifier logic. (Hence its designation: ontological neutral logic.) A set of axioms for this logic is presented. A new sentential notion-the suppositional-in essence due to Thomas Bayes, is adjoined to this logic that later becomes the basis for creating a conditional probability logic. Chapter three opens with a set of four postulates for probability on ontologically neutral quantifier language. Many properties are derived and a fundamental theorem is proved, namely, for any probability model (assignment of probability values to all atomic sentences of the language) there will be a unique extension of the probability values to all closed sentences of the language. The chapter concludes by showing the Borel's early denumerable probability concept (1909) can be justified by its being, in essence, close to Hailperin's probability result applied to denumerable language. The final chapter introduces the notion of conditional-probability to a language having quantifiers of the kind discussed in chapter two. A definition of probability for this type of language is defined and some of its properties characterized. The much discussed and written about Confirmation Paradox is presented and theorems involving conditional probability for this quantifier language with the conditional are derived. Using these results, Hailperin obtains a resolution of this paradox.
Download or read book Probability Logic written by Peter Holger Krauss and published by . This book was released on 1966 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
