Book Description
Probability theory
Author :
Publisher : Allied Publishers
Page : 436 pages
File Size : 29,64 MB
Release : 2013
Category :
ISBN : 9788177644517
Probability theory
Author : George Boole
Publisher : Courier Corporation
Page : 514 pages
File Size : 21,45 MB
Release : 2012-01-01
Category : Mathematics
ISBN : 0486488268
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
Page : 268 pages
File Size : 19,76 MB
Release : 1999-01-01
Category : Philosophy
ISBN : 9780802008077
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
Page : 326 pages
File Size : 37,84 MB
Release : 2001-07-02
Category : Mathematics
ISBN : 9780521775014
An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.
Author : Fabrizio Riguzzi
Publisher : CRC Press
Page : 548 pages
File Size : 28,48 MB
Release : 2023-07-07
Category : Computers
ISBN : 1000923215
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 : Ernest Wilcox Adams
Publisher : Stanford Univ Center for the Study
Page : 376 pages
File Size : 46,70 MB
Release : 1998
Category : Mathematics
ISBN : 9781575860664
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 : Timothy J. Ross
Publisher : SIAM
Page : 424 pages
File Size : 45,76 MB
Release : 2002-01-01
Category : Mathematics
ISBN : 0898715253
Shows both the shortcomings and benefits of each technique, and even demonstrates useful combinations of the two.
Author : William Eckhardt
Publisher : Springer Science & Business Media
Page : 85 pages
File Size : 17,92 MB
Release : 2012-09-26
Category : Mathematics
ISBN : 9400751400
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 : Rolf Haenni
Publisher : Springer Science & Business Media
Page : 154 pages
File Size : 28,91 MB
Release : 2010-11-19
Category : Science
ISBN : 9400700083
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 : Rudolf Carnap
Publisher :
Page : 636 pages
File Size : 27,72 MB
Release : 1951
Category : Induction (Logic)
ISBN :