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Qualitative Mathematics for the Social Sciences
DOI link for Qualitative Mathematics for the Social Sciences
Qualitative Mathematics for the Social Sciences book
Qualitative Mathematics for the Social Sciences
DOI link for Qualitative Mathematics for the Social Sciences
Qualitative Mathematics for the Social Sciences book
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ABSTRACT
In this book Lee Rudolph brings together international contributors who combine psychological and mathematical perspectives to analyse how qualitative mathematics can be used to create models of social and psychological processes. Bridging the gap between the fields with an imaginative and stimulating collection of contributed chapters, the volume updates the current research on the subject, which until now has been rather limited, focussing largely on the use of statistics.
Qualitative Mathematics for the Social Sciences contains a variety of useful illustrative figures, introducing readers from the social sciences to the rich contribution that modern mathematics has made to our knowledge of logic, structures, and dynamic systems. A beguiling array of conceptual systems, topological models and fractals are discussed which transcend the application of statistics, and bring a fresh perspective to the study of social representations.
The wide selection of qualitative mathematical methodologies discussed in this volume will be hugely valuable to higher-level undergraduate and postgraduate students of psychology, sociology and mathematics. It will also be useful for researchers, academics and professionals from the social sciences who want a firmer grasp on the use of qualitative mathematics.
TABLE OF CONTENTS
chapter 1|36 pages
Introduction: Mathematical Models and Social Representation
part |2 pages
Logics of Modeling
chapter 2|36 pages
Logic in Modeling, Logics as Models
chapter 3|30 pages
Introduction to Quantum Probability for Social and Behavioral Scientists
chapter 4|32 pages
The Sorites Paradox: A Behavioral Approach
chapter 5|24 pages
On an Intensity Attribute—Loudness
part |2 pages
Model Structures
chapter 6|26 pages
Functions of Structure in Mathematics and Modeling
chapter 7|38 pages
Structure and Hierarchies in Ganzheitspsychologie
chapter 8|28 pages
Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology
chapter 9|22 pages
A Novel Generic Conception of Structure: Solving Piaget’s Riddle
part |2 pages
Dynamic Models
chapter 10|42 pages
The Varieties of Dynamic(al) Experience
chapter 11|22 pages
Complex Dynamical Systems and the Social Sciences
part |2 pages
Addendum