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Author :
Publisher : Allied Publishers
ISBN 13 : 9788177644517
Total Pages : 436 pages
Book Rating : 4.6/5 (445 download)
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
Author : George Boole
Publisher : Courier Corporation
ISBN 13 : 0486488268
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)
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 : Peter Roeper
Publisher : University of Toronto Press
ISBN 13 : 9780802008077
Total Pages : 268 pages
Book Rating : 4.0/5 (8 download)
Download or read book Probability Theory and Probability Logic written by Peter Roeper and published by University of Toronto Press. This book was released on 1999-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Ian Hacking
Publisher : Cambridge University Press
ISBN 13 : 9780521775014
Total Pages : 326 pages
Book Rating : 4.7/5 (75 download)
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 : Fabrizio Riguzzi
Publisher : CRC Press
ISBN 13 : 1000923215
Total Pages : 548 pages
Book Rating : 4.0/5 (9 download)
Download or read book Foundations of Probabilistic Logic Programming written by Fabrizio Riguzzi and published by CRC Press. This book was released on 2023-07-07 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its birth, the field of Probabilistic Logic Programming has seen a steady increase of activity, with many proposals for languages and algorithms for inference and learning. This book aims at providing an overview of the field with a special emphasis on languages under the Distribution Semantics, one of the most influential approaches. The book presents the main ideas for semantics, inference, and learning and highlights connections between the methods. Many examples of the book include a link to a page of the web application http://cplint.eu where the code can be run online. This 2nd edition aims at reporting the most exciting novelties in the field since the publication of the 1st edition. The semantics for hybrid programs with function symbols was placed on a sound footing. Probabilistic Answer Set Programming gained a lot of interest together with the studies on the complexity of inference. Algorithms for solving the MPE and MAP tasks are now available. Inference for hybrid programs has changed dramatically with the introduction of Weighted Model Integration. With respect to learning, the first approaches for neuro-symbolic integration have appeared together with algorithms for learning the structure for hybrid programs. Moreover, given the cost of learning PLPs, various works proposed language restrictions to speed up learning and improve its scaling.
Author : Rolf Haenni
Publisher : Springer Science & Business Media
ISBN 13 : 9400700083
Total Pages : 154 pages
Book Rating : 4.4/5 (7 download)
Download or read book Probabilistic Logics and Probabilistic Networks written by Rolf Haenni and published by Springer Science & Business Media. This book was released on 2010-11-19 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: While probabilistic logics in principle might be applied to solve a range of problems, in practice they are rarely applied - perhaps because they seem disparate, complicated, and computationally intractable. This programmatic book argues that several approaches to probabilistic logic fit into a simple unifying framework in which logically complex evidence is used to associate probability intervals or probabilities with sentences. Specifically, Part I shows that there is a natural way to present a question posed in probabilistic logic, and that various inferential procedures provide semantics for that question, while Part II shows that there is the potential to develop computationally feasible methods to mesh with this framework. The book is intended for researchers in philosophy, logic, computer science and statistics. A familiarity with mathematical concepts and notation is presumed, but no advanced knowledge of logic or probability theory is required.
Author : Timothy J. Ross
Publisher : SIAM
ISBN 13 : 0898715253
Total Pages : 424 pages
Book Rating : 4.8/5 (987 download)
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.
Author : Rudolf Carnap
Publisher :
ISBN 13 :
Total Pages : 636 pages
Book Rating : 4.4/5 (91 download)
Download or read book Logical Foundations of Probability written by Rudolf Carnap and published by . This book was released on 1951 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William Eckhardt
Publisher : Springer Science & Business Media
ISBN 13 : 9400751400
Total Pages : 85 pages
Book Rating : 4.4/5 (7 download)
Download or read book Paradoxes in Probability Theory written by William Eckhardt and published by Springer Science & Business Media. This book was released on 2012-09-26 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Paradoxes provide a vehicle for exposing misinterpretations and misapplications of accepted principles. This book discusses seven paradoxes surrounding probability theory. Some remain the focus of controversy; others have allegedly been solved, however the accepted solutions are demonstrably incorrect. Each paradox is shown to rest on one or more fallacies. Instead of the esoteric, idiosyncratic, and untested methods that have been brought to bear on these problems, the book invokes uncontroversial probability principles, acceptable both to frequentists and subjectivists. The philosophical disputation inspired by these paradoxes is shown to be misguided and unnecessary; for instance, startling claims concerning human destiny and the nature of reality are directly related to fallacious reasoning in a betting paradox, and a problem analyzed in philosophy journals is resolved by means of a computer program.
Author : Ernest Wilcox Adams
Publisher : Stanford Univ Center for the Study
ISBN 13 : 9781575860664
Total Pages : 376 pages
Book Rating : 4.8/5 (66 download)
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 : Louis Narens
Publisher : World Scientific
ISBN 13 : 9812708014
Total Pages : 230 pages
Book Rating : 4.8/5 (127 download)
Download or read book Theories of Probability written by Louis Narens and published by World Scientific. This book was released on 2007 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Rick Durrett
Publisher : Cambridge University Press
ISBN 13 : 113949113X
Total Pages : pages
Book Rating : 4.1/5 (394 download)
Download or read book Probability written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-08-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
Author : Richard Kohar
Publisher : World Scientific Publishing Company
ISBN 13 : 9814730416
Total Pages : 733 pages
Book Rating : 4.8/5 (147 download)
Download or read book Basic Discrete Mathematics: Logic, Set Theory, And Probability written by Richard Kohar and published by World Scientific Publishing Company. This book was released on 2016-06-15 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively introductory text exposes the student in the humanities to the world of discrete mathematics. A problem-solving based approach grounded in the ideas of George Pólya are at the heart of this book. Students learn to handle and solve new problems on their own. A straightforward, clear writing style and well-crafted examples with diagrams invite the students to develop into precise and critical thinkers. Particular attention has been given to the material that some students find challenging, such as proofs. This book illustrates how to spot invalid arguments, to enumerate possibilities, and to construct probabilities. It also presents case studies to students about the possible detrimental effects of ignoring these basic principles. The book is invaluable for a discrete and finite mathematics course at the freshman undergraduate level or for self-study since there are full solutions to the exercises in an appendix.'Written with clarity, humor and relevant real-world examples, Basic Discrete Mathematics is a wonderful introduction to discrete mathematical reasoning.'- Arthur Benjamin, Professor of Mathematics at Harvey Mudd College, and author of The Magic of Math
Author : Donald Gillies
Publisher : Routledge
ISBN 13 : 1134672454
Total Pages : 239 pages
Book Rating : 4.1/5 (346 download)
Download or read book Philosophical Theories of Probability written by Donald Gillies and published by Routledge. This book was released on 2012-09-10 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : T. Hailperin
Publisher : Elsevier
ISBN 13 : 0080880053
Total Pages : 441 pages
Book Rating : 4.0/5 (88 download)
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.
Author : Edward Nelson
Publisher : Princeton University Press
ISBN 13 : 9780691084749
Total Pages : 112 pages
Book Rating : 4.0/5 (847 download)
Download or read book Radically Elementary Probability Theory written by Edward Nelson and published by Princeton University Press. This book was released on 1987 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.
Author : Richard T. Cox
Publisher : Johns Hopkins University Press
ISBN 13 : 9780801869822
Total Pages : 0 pages
Book Rating : 4.8/5 (698 download)
Download or read book Algebra of Probable Inference written by Richard T. Cox and published by Johns Hopkins University Press. This book was released on 2001-12-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Algebra of Probable Inference, Richard T. Cox develops and demonstrates that probability theory is the only theory of inductive inference that abides by logical consistency. Cox does so through a functional derivation of probability theory as the unique extension of Boolean Algebra thereby establishing, for the first time, the legitimacy of probability theory as formalized by Laplace in the 18th century. Perhaps the most significant consequence of Cox's work is that probability represents a subjective degree of plausible belief relative to a particular system but is a theory that applies universally and objectively across any system making inferences based on an incomplete state of knowledge. Cox goes well beyond this amazing conceptual advancement, however, and begins to formulate a theory of logical questions through his consideration of systems of assertions—a theory that he more fully developed some years later. Although Cox's contributions to probability are acknowledged and have recently gained worldwide recognition, the significance of his work regarding logical questions is virtually unknown. The contributions of Richard Cox to logic and inductive reasoning may eventually be seen to be the most significant since Aristotle.
