Sentential Probability Logic
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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.
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
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
Theories Of Probability
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Author : Louis Narens
language : en
Publisher: World Scientific
Release Date : 2007
Theories Of Probability written by Louis Narens and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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.
Chance And Structure
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Author : John M. Vickers
language : en
Publisher:
Release Date : 1988
Chance And Structure written by John M. Vickers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Discussing the relations between logic and probability, this book compares classical 17th- and 18th-century theories of probability with contemporary theories, explores recent logical theories of probability, and offers a new account of probability as a part of logic.
The Logic Of Chance
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Author : John Venn
language : en
Publisher:
Release Date : 1866
The Logic Of Chance written by John Venn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1866 with Chance categories.
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.
Probability And The Logic Of Rational Belief
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Author : Henry Ely Kyburg
language : en
Publisher:
Release Date : 1961
Probability And The Logic Of Rational Belief written by Henry Ely Kyburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Philosophy categories.
Logic Probability And Science
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Author :
language : en
Publisher: BRILL
Release Date : 2022-02-22
Logic Probability And Science written by and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-22 with Science categories.
From the contents: Charles MORGAN: Canonical models and probabilistic semantics. - Francois LEPAGE: A many-valued probabilistic logic. - Piers RAWLING: The exchange paradox, finite additivity, and the principle of dominance. - Susan VINEBERG: The logical status of conditionalization and its role in confirmation. - Deborah MAYO: Science, error statistics, and arguing from error. - Mark N. LANCE: The best is the enemy of the good: Bayesian epistemology as a case study in unhelpful idealization. - Robert B. GARDNER & Michael C. WOOTEN: An application of Bayes' theorem to population genetics. - Peter D. JOHNSON, Jr.: Another look at group selection."
Neutrosophic Probability Set And Logic First Version
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Author : FLORENTIN SMARANDACHE
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Probability Set And Logic First Version written by FLORENTIN SMARANDACHE and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
This project is a part of a National Science Foundation interdisciplinary project proposal. Starting from a new viewpoint in philosophy, the neutrosophy, one extends the classical "probability theory", "fuzzy set" and "fuzzy logic" to