Probability Logics

Author : Nikolai Dokuchaev
Publisher : World Scientific Publishing Company
ISBN 13 : 9814678058
Total Pages : 224 pages
Book Rating : 4.56/5 ( download)

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Download or read book Probability Theory written by Nikolai Dokuchaev and published by World Scientific Publishing Company. This book was released on 2015-06-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.

Author : Theodore Hailperin
Publisher : Rowman & Littlefield
ISBN 13 : 1611460107
Total Pages : 124 pages
Book Rating : 4.00/5 ( download)

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Download or read book Logic with a Probability Semantics written by Theodore Hailperin and published by Rowman & Littlefield. This book was released on 2011 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 basedon 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, notentities 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 anyprobability 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 denumerableprobability 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

Author : George Boole
Publisher : Courier Corporation
ISBN 13 : 0486488268
Total Pages : 514 pages
Book Rating : 4.64/5 ( download)

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Download or read book Studies in Logic and Probability written by George Boole and published by Courier Corporation. This book was released on 2012-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative account of the development of Boole's ideas in logic and probability theory ranges from The Mathematical Analysis of Logic to the end of his career. The Laws of Thought formed the most systematic statement of Boole's theories; this volume contains incomplete studies intended for a follow-up volume. 1952 edition.

Author : Itamar Pitowsky
Publisher :
ISBN 13 : 9783662137345
Total Pages : 224 pages
Book Rating : 4.48/5 ( download)

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Download or read book Quantum Probability - Quantum Logic written by Itamar Pitowsky and published by . This book was released on 2014-01-15 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ernest Wilcox Adams
Publisher : Stanford Univ Center for the Study
ISBN 13 : 9781575860664
Total Pages : 376 pages
Book Rating : 4.6X/5 ( download)

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Download or read book A Primer of Probability Logic written by Ernest Wilcox Adams and published by Stanford Univ Center for the Study. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant to be a primer, that is an introduction, to probability logic, a subject that appears to be in its infancy. Probability logic is a subject envisioned by Hans Reichenbach and largely created by Adams. It treats conditionals as bearers of conditional probabilities and discusses an appropriate sense of validity for arguments such conditionals, as well as ordinary statements as premises. This is a clear well written text on the subject of probability logic, suitable for advanced undergraduates or graduates, but also of interest to professional philosophers. There are well thought out exercises, and a number of advanced topics treated in appendices, while some are brought up in exercises and some are alluded to only in footnotes. By this means it is hoped that the reader will at least be made aware of most of the important ramifications of the subject and its tie-ins with current research, and will have some indications concerning recent and relevant literature.

Author : Ian Hacking
Publisher : Cambridge University Press
ISBN 13 : 9780521775014
Total Pages : 326 pages
Book Rating : 4.19/5 ( download)

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Download or read book An Introduction to Probability and Inductive Logic written by Ian Hacking and published by Cambridge University Press. This book was released on 2001-07-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.

Author : Radu J. Bogdan
Publisher : Springer Science & Business Media
ISBN 13 : 9789027703125
Total Pages : 348 pages
Book Rating : 4.24/5 ( download)

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Download or read book Logic, Language, and Probability written by Radu J. Bogdan and published by Springer Science & Business Media. This book was released on 1973-06-30 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Selection of Papers Contributed to Sections IV, VI, and XI of the Fourth International Congress for Logic, Methodology, and Philosophy of Science, Bucharest, September 1971

Author : Zoran Ognjanović
Publisher : Springer
ISBN 13 : 3319470124
Total Pages : 215 pages
Book Rating : 4.22/5 ( download)

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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 215 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.

Author : Theodore Hailperin
Publisher : Lehigh University Press
ISBN 13 : 9780934223454
Total Pages : 316 pages
Book Rating : 4.59/5 ( download)

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Download or read book Sentential Probability Logic written by Theodore Hailperin and published by Lehigh University Press. This book was released on 1996 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study presents a logic in which probability values play a semantic role comparable to that of truth values in conventional logic. The difference comes in with the semantic definition of logical consequence. It will be of interest to logicians, both philosophical and mathematical, and to investigators making use of logical inference under uncertainty, such as in operations research, risk analysis, artificial intelligence, and expert systems.

Author : Timothy J. Ross
Publisher : SIAM
ISBN 13 : 0898715253
Total Pages : 424 pages
Book Rating : 4.55/5 ( download)

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Download or read book Fuzzy Logic and Probability Applications written by Timothy J. Ross and published by SIAM. This book was released on 2002-01-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.