Theories of probability : an examination of logical and qualitative foundations
 Author/Creator
 Narens, Louis.
 Language
 English.
 Imprint
 New Jersey : World Scientific, c2007.
 Physical description
 ix, 219 p. : ill. ; 24 cm.
 Series
 Advanced series on mathematical psychology ; v. 2.
Access
Available online

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QA273.4 .N37 2007

Unknown
QA273.4 .N37 2007
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. 207212) and index.
 Contents

 Elementary Concepts Kolmogorov Probability Theory Infinitesimals Qualitative Probability Qualitative Utility Axioms for Choice Proportions Conditional Belief Lattices Belief for Scientific Events and Refutations The Psychology of Human Probability Judgments Metamathematical Considerations.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 firstofitskind book is primarily based on qualitative approaches to probabilisticlike 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 wellstudied 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.
(source: Nielsen Book Data)  Supplemental links
 Table of contents only
Subjects
 Subject
 Probabilities.
Bibliographic information
 Publication date
 2007
 Responsibility
 Louis Narens.
 Series
 Advanced series on mathematical psychology ; v. 2
 ISBN
 9789812708014
 9812708014