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

ISBN-13: 9780415444828 / Angielski / Twarda / 2012 / 492 str.

Lee Rudolph

Opis

In this text 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. 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.

Spis treści

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, 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.

O autorze

Lee Rudolph