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A Primer Of Probability Logic

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A Primer Of Probability Logic

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Author : Ernest Wilcox Adams
language : en
Publisher: Stanford Univ Center for the Study
Release Date : 1998

A Primer Of Probability Logic written by Ernest Wilcox Adams and has been published by Stanford Univ Center for the Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.

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.

Sentential Probability Logic

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Author : Theodore Hailperin
language : en
Publisher: Lehigh University Press
Release Date : 1996

Sentential Probability Logic written by Theodore Hailperin and has been published by Lehigh University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.

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.

Probability Theory

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Author :
language : en
Publisher: Allied Publishers
Release Date : 2013

Probability Theory written by and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Probability theory

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.

Logic With A Probability Semantics

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Author : Theodore Hailperin
language : en
Publisher: Rowman & Littlefield
Release Date : 2011

Logic With A Probability Semantics written by Theodore Hailperin and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

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

A Primer In Probability Second Edition

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Author : Kathleen Subrahmaniam
language : en
Publisher: CRC Press
Release Date : 1990-07-27

A Primer In Probability Second Edition written by Kathleen Subrahmaniam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-07-27 with Mathematics categories.

Somewhat revised/expanded new edition of a problem-oriented introductory undergraduate text, the first edition of which appeared about a decade ago. The author writes with courteous clarity, and imposes only modest demands upon the mathematical skills of her readers. Problems at the end of each of t

A Primer In Probability

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Author : K. Kocherlakota
language : en
Publisher: New York : M. Dekker
Release Date : 1979

A Primer In Probability written by K. Kocherlakota and has been published by New York : M. Dekker this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

A first glimpse of probability; Basic concepts of probability; Counting procedures and their applications in computing probabilities; Conditional probability; Independence; Random variables; Describing random variables and their distributions; Describing the joint behavior of several random variables; Special discrete probability models.