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Book

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

Mathematical Models for Research on Cultural Dynamics

Qualitative Mathematics for the Social Sciences

DOI link for Qualitative Mathematics for the Social Sciences

Qualitative Mathematics for the Social Sciences book

Mathematical Models for Research on Cultural Dynamics
Edited ByLee Rudolph
Edition 1st Edition
First Published 2012
eBook Published 18 September 2012
Pub. Location London
Imprint Routledge
DOI https://doi.org/10.4324/9780203100806
Pages 492
eBook ISBN 9780203100806
Subjects Behavioral Sciences
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Rudolph, L. (Ed.). (2012). Qualitative Mathematics for the Social Sciences: Mathematical Models for Research on Cultural Dynamics (1st ed.). Routledge. https://doi.org/10.4324/9780203100806

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

chapter 12|50 pages

Intransitivity Cycles and Their Transformations: How Dynamically Adapting Systems Function?

part |2 pages

Addendum

chapter 13|24 pages

Mathematical Modeling and Diagrammatic Reasoning

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