Contextuality in Random Variables: A Systematic Introduction

Author:   Ehtibar N. Dzhafarov (Purdue University, Indiana) ,  Janne V. Kujala (University of Turku, Finland) ,  Víctor H. Cervantes (University of Illinois Urbana-Champaign)
Publisher:   Cambridge University Press
ISBN:  

9781009671927


Pages:   485
Publication Date:   28 February 2026
Format:   Hardback
Availability:   Not yet available, will be POD   Availability explained
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Contextuality in Random Variables: A Systematic Introduction


Overview

The mathematical essence of contextuality lies in the similarity of random variables answering the same question in different contexts: contextuality means they are less similar when considered within their respective contexts than when isolated from them. This book presents a principled way of measuring this similarity and distinguishing two forms of context-dependence: contextuality and disturbance. While applicable across a broad range of disciplines, the concept of contextuality in this book is closest to that in quantum physics, where its special forms –in the absence of disturbance – are known as Bell nonlocality and Kochen–Specker contextuality. This systematic introduction requires no prior familiarity with the subject and a very modest mathematical background. Structured as a textbook, complete with exercises and solutions, it is accessible to a broad readership and suitable for teaching. It will be useful to researchers and students in quantum mechanics, philosophy of science, psychology, computer science, linguistics, and probability theory.

Full Product Details

Author:   Ehtibar N. Dzhafarov (Purdue University, Indiana) ,  Janne V. Kujala (University of Turku, Finland) ,  Víctor H. Cervantes (University of Illinois Urbana-Champaign)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Weight:   0.500kg
ISBN:  

9781009671927


ISBN 10:   1009671928
Pages:   485
Publication Date:   28 February 2026
Audience:   General/trade ,  General
Format:   Hardback
Publisher's Status:   Forthcoming
Availability:   Not yet available, will be POD   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon it's release. This is a print on demand item which is still yet to be released.

Table of Contents

1. Preliminaries; 2. Context-dependence and contextuality; 3. Random variables; 4. Systems and their couplings; 5. Contextuality I: basic properties; 6. Contextuality II: dichotomizations and criteria of contextuality; 7. Cyclic systems; 8. Consistently connected and consistified systems; 9. Hidden variable models; 10. Measures of the degree of contextuality; 11. Noncontextuality polytopes for cyclic systems; Index.

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Author Information

Ehtibar N. Dzhafarov is Professor Emeritus at Purdue University, USA. He has published over 170 papers in psychology, mathematics, philosophy, and foundations of quantum mechanics, and he has edited six books and four special journal issues. He served as President of the Society for Mathematical Psychology and has received a Humboldt Research Award. Janne V. Kujala is Associate Professor at the University of Turku, Finland. He has published over 60 papers in computational statistics, applied probability, foundations of quantum mechanics, mathematical psychology, and learning analytics, and has edited one special journal issue. He received the William K. Estes Early Career award in mathematical psychology. Víctor H. Cervantes is Assistant Professor at the University of Illinois Urbana-Champaign, USA. He was awarded a Fulbright Scholarship in 2014, and he received his doctoral degree in mathematical and computational cognitive science from Purdue University.

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