1st Edition

Qualitative Mathematics for the Social Sciences Mathematical Models for Research on Cultural Dynamics

Edited By Lee Rudolph Copyright 2013
492 Pages
by Routledge

492 Pages
by Routledge

492 Pages
by Routledge

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,... Read more

Rudolph, Valsiner, Preface. Rudolph, Valsiner, Introduction: Mathematical Models and Social Representation. Part I: Logics of Modeling. Rudolph, Logic in Modeling, Logics as Models. Busemeyer, Introduction to Quantum Probability for Social and Behavioral Scientists. Dzhafarov, The Sorites Paradox: A Behavioral Approach. Tat Ng, On an Intensity Attribute—Loudness. Part II: Model Structures. Rudolph, Functions of Structure in Mathematics and Modeling. Diriwächter, Structure and Hierarchies in Ganzheitspsychologie. Kawauchi, Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology. Neuman, A Novel Generic Conception of Structure: Solving Piaget's Riddle. Part III: Dynamic Models. Rudolph, The Varieties of Dynamic(al) Experience. Abraham, Friedman, Viotti, Complex Dynamical Systems and the Social Sciences. Poddiakov, Valsiner, Intransitivity Cycles and Their Transformations: How Dynamically Adapting Systems Function? Part IV: Conclusions. Rudolph, Modeling and Diagrammatic Reasoning.

Biography

Lee Rudolph