Probabilistic Lattices: With Applications To Psychology

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.Contents:

Introduction
Basic Lattice Theory
Pseudo Complemented Distributive Lattices
Probability and Coherence
Rationality, Heuristics, and Human Judgments of Probability
Orthomodular Modeling of Psychological Paradigms

Readership: Researchers in probability theory, logic and mathematical psychology. Key Features:


Systematic, foundational development of probability theories based on Boolean and non-Boolean algebras
New theoretical foundations for theories of belief that emphasize the logical structure of event spaces
New methods for modeling the Kahnemann and Tversky heuristics and other psychological paradigms based on intuitionistic logic and a generalization of quantum logic