Author :
Publisher : Allied Publishers
Page : 436 pages
File Size : 42,73 MB
Release : 2013
Category :
ISBN : 9788177644517
Probability theory
[PDF] Probability Logic eBook
Probability Logic Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Probability Logic book. This book definitely worth reading, it is an incredibly well-written.
Logic with a Probability Semantics
Theodore Hailperin
Author : Theodore Hailperin
Publisher : Rowman & Littlefield
Page : 124 pages
File Size : 47,3 MB
Release : 2011
Category : Mathematics
ISBN : 1611460107
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
An Introduction to Probability and Inductive Logic
Ian Hacking
Author : Ian Hacking
Publisher : Cambridge University Press
Page : 326 pages
File Size : 33,56 MB
Release : 2001-07-02
Category : Mathematics
ISBN : 9780521775014
An introductory 2001 textbook on probability and induction written by a foremost philosopher of science.
A Primer of Probability Logic
Ernest Wilcox Adams
Author : Ernest Wilcox Adams
Publisher : Stanford Univ Center for the Study
Page : 376 pages
File Size : 12,14 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.
Studies in Logic and Probability
George Boole
Author : George Boole
Publisher : Courier Corporation
Page : 514 pages
File Size : 13,52 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.
Quantum Probability - Quantum Logic
Itamar Pitowsky
Author : Itamar Pitowsky
Publisher :
Page : 224 pages
File Size : 17,66 MB
Release : 2014-01-15
Category :
ISBN : 9783662137345
Probability Theory and Probability Logic
Peter Roeper
Author : Peter Roeper
Publisher : University of Toronto Press
Page : 268 pages
File Size : 44,48 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.
Boole's Logic and Probability
T. Hailperin
Author : T. Hailperin
Publisher : Elsevier
Page : 441 pages
File Size : 37,44 MB
Release : 1986-10-01
Category : Mathematics
ISBN : 0080880053
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.
Sentential Probability Logic
Theodore Hailperin
Author : Theodore Hailperin
Publisher : Lehigh University Press
Page : 316 pages
File Size : 40,98 MB
Release : 1996
Category : Mathematics
ISBN : 9780934223454
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, Probability, and Epistemology
Sahotra Sarkar
Author : Sahotra Sarkar
Publisher : Taylor & Francis
Page : 420 pages
File Size : 34,51 MB
Release : 1996
Category : Logical positivism
ISBN : 9780815322641
Twenty-nine collected essays represent a critical history of Shakespeare's play as text and as theater, beginning with Samuel Johnson in 1765, and ending with a review of the Royal Shakespeare Company production in 1991. The criticism centers on three aspects of the play: the love/friendship debate.