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Probabilistic lattices : with applications to psychology / Louis Narens.

By: Material type: TextTextSeries: Advanced series on mathematical psychology ; v 5.Publication details: Singapore : World Scientific, ©2015.Description: xi, 193 p. : illustrations ; 24 cmISBN:
  • 9789814630412 (hardcover : alk. paper)
Subject(s): DDC classification:
  • 519.2 23 N225
Contents:
1. Introduction -- 2. Basic lattice theory -- 3. Pseudo complemented distributive lattices -- 4. Probability and coherence -- 5. Rationality, heuristics, and human judgments of probability -- 6. Orthomodular modeling of psychological paradigms.
Summary: There are many books on lattice theory in the field, but none interfaces with the foundations of probability. This book does. It also develops new probability theories with rigorous foundations for decision theory and applies them to specific well-known problematic examples. There is only one other book that attempts this. It uses quantum probability theory from physics. The new probability theories developed in this book are different; they are not borrowed from physics but are explicitly designed for decision theory.
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Includes bibliographical references and index.

1. Introduction --
2. Basic lattice theory --
3. Pseudo complemented distributive lattices --
4. Probability and coherence --
5. Rationality, heuristics, and human judgments of probability --
6. Orthomodular modeling of psychological paradigms.

There are many books on lattice theory in the field, but none interfaces with the foundations of probability. This book does. It also develops new probability theories with rigorous foundations for decision theory and applies them to specific well-known problematic examples. There is only one other book that attempts this. It uses quantum probability theory from physics. The new probability theories developed in this book are different; they are not borrowed from physics but are explicitly designed for decision theory.

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