Boole S Logic And Probability
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Boole S Logic And Probability
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Author : T. Hailperin
language : en
Publisher: Elsevier
Release Date : 1986-10-01
Boole S Logic And Probability written by T. Hailperin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-10-01 with Mathematics categories.
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.
Mathematical Logic And Probability With Basic Programming
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Author : William S. Dorn
language : en
Publisher:
Release Date : 1973
Mathematical Logic And Probability With Basic Programming written by William S. Dorn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Algebra, Boolean categories.
Studies In Logic And Probability
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Author : George Boole
language : en
Publisher: Courier Corporation
Release Date : 2012-12-27
Studies In Logic And Probability written by George Boole and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-27 with Mathematics categories.
Authoritative compilation ranges from The Mathematical Analysis of Logic to the end of Boole's career. Includes The Laws of Thought, plus incomplete studies intended for a follow-up volume. 1952 edition.
Logic And Conditional Probability
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Author : Philip Calabrese
language : en
Publisher:
Release Date : 2017-10-25
Logic And Conditional Probability written by Philip Calabrese and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-25 with Mathematics categories.
This monograph develops an algebra of Boolean fractions, (ab) - ordered pairs of propositions or events - "a if b", "event a given event b". In nine chapters, the author shows that these conditional propositions (together with their associated instantiations or models): Provide logical elements that better represent and more faithfully facilitate manipulation of certain and uncertain conditional information Extend the Boole's algebra of 2-valued statements to a 3-valued system that includes "inapplicable statements" - those whose condition may be false in some or all instances (examples, cases, models...) Allow a definition of the probability of an arbitrary Boolean proposition Non-trivially combine Boolean logic with standard conditional probability theory Provide a complete and adequate development of the crucial 4th operation for Boolean logic, namely conditioning, including iterated conditioning Provide an expanded theory of deduction defined in terms of the extended operations on the Boolean fractions Admit a variety of deduction relations, and that the deductively closed sets generated by some initial set of conditionals can be calculated Extend the ordinary function operations of sum, difference, product & quotient to real-valued functions with possibly different or overlapping domains of definition Represent & simplify complex conditional statements in Bayesian expert systems used to calculate maximum information entropy solutions Explicate the logic of quantum measurements by better expressing the changing conditions in quantum mechanics
Probability Algebras And Stochastic Spaces
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Author : Demetrios A. Kappos
language : en
Publisher: Academic Press
Release Date : 2014-07-03
Probability Algebras And Stochastic Spaces written by Demetrios A. Kappos and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Mathematics categories.
Probability Algebras and Stochastic Spaces explores the fundamental notions of probability theory in the so-called “point-free way. The space of all elementary random variables defined over a probability algebra in a “point-free way is a base for the stochastic space of all random variables, which can be obtained from it by lattice-theoretic extension processes. This book is composed of eight chapters and begins with discussions of the definition, properties, scope, and extension of probability algebras. The succeeding chapters deal with the Cartesian product of probability algebras and the principles of stochastic spaces. These topics are followed by surveys of the expectation, moments, and spaces of random variables. The final chapters define generalized random variables and the Boolean homomorphisms of these variables. This book will be of great value to mathematicians and advance mathematics students.
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.
Boole S Logic And Probability
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Author : Theodore Hailperin
language : en
Publisher:
Release Date : 1976
Boole S Logic And Probability written by Theodore Hailperin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Algebra, Boolean categories.
Logic And Probability In Quantum Mechanics
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Author : Patrick Suppes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Logic And Probability In Quantum Mechanics written by Patrick Suppes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
During the academic years 1972-1973 and 1973-1974, an intensive sem inar on the foundations of quantum mechanics met at Stanford on a regular basis. The extensive exploration of ideas in the seminar led to the org~ization of a double issue of Synthese concerned with the foundations of quantum mechanics, especially with the role of logic and probability in quantum meChanics. About half of the articles in the volume grew out of this seminar. The remaining articles have been so licited explicitly from individuals who are actively working in the foun dations of quantum mechanics. Seventeen of the twenty-one articles appeared in Volume 29 of Syn these. Four additional articles and a bibliography on -the history and philosophy of quantum mechanics have been added to the present volume. In particular, the articles by Bub, Demopoulos, and Lande, as well as the second article by Zanotti and myself, appear for the first time in the present volume. In preparing the articles for publication I am much indebted to Mrs. Lillian O'Toole, Mrs. Dianne Kanerva, and Mrs. Marguerite Shaw, for their extensive assistance.
Information Processing
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Author : David Blower
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2011
Information Processing written by David Blower and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Algebra, Boolean categories.
Volume I was corrected and revised in September 2017. This book begins the task of defining, explaining, arguing for, and, in the end, providing a rationale for information processing. Volume I is concerned with the notion that an information processor is mainly engaged in making inferences. An information processor would prefer to reach definite conclusions by using some form of deduction. Unfortunately, it is often thwarted in this desire by a fundamental lack of relevant information. Probability theory has developed as a rigorous way of dealing with the uncertainty surrounding inference. Thus, we begin by treating some of the formal manipulation rules that crop up in probability theory. To provide some foundational basis for the applications to appear in later Volumes, the topics of Boolean Algebra, Classical Logic, and Cellular Automata will make an appearance here.
Sets And Boolean Algebra
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Author : Marcel Rueff
language : en
Publisher: Elsevier Publishing Company
Release Date : 1970
Sets And Boolean Algebra written by Marcel Rueff and has been published by Elsevier Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.