Conflict, Complexity and Mathematical Social Science

Gordon Burt
Emerald
Emerald

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Hardback
9781849509725
05 August 2010
$165.99
eBook (PDF)
9781849509732
05 August 2010
$161.99

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  • Description
  • Contents
"Conflict, Complexity and Mathematical Social Science" provides a foundational mathematical approach to the modelling of social conflict. The book illustrates how theory and evidence can be mathematically deepened and how investigations grounded in social choice theory can provide the evidence needed to inform social practice. Countering criticism from constructivist viewpoints it shows how discourse is grounded in mathematical logic and mathematical structure. The modelling of social conflict is viewed as an application of mathematical social science and relevant models are drawn from each field of mathematical psychology, mathematical sociology, mathematical political science and mathematical economics. Unique in its multidisciplinary focus the book brings together powerful mathematical conceptualisations of the social world from a wide range of separate areas of inquiry, thereby providing a strong conceptual framework and an integrated account of social situations. It is a vital resource for all researchers in peace science, peace and conflict studies, politics, international relations, mathematical modelling in the social sciences and complexity theory.

Acknowledgments. Foreword. Chapter 1 Introduction and overview. Chapter 2 Set theory and social reality. Chapter 3 Mathematics, logic, artificial intelligence and ordinary language. Chapter 4 Possibility and probability: Value, conflict and choice. Chapter 5 Theory, evidence and reality: The mean and median ideals of competing groups. Chapter 6 Social design, ethics and the amount of value. Chapter 7 Change, multiple-entity systems and complexity. Chapter 8 Mathematical psychology. Chapter 9 Models of individual choice. Chapter 10 Mathematical sociology. Chapter 11 Mathematical political science and game theory. Chapter 12 The mathematical economics of social participation; complexity. Chapter 13 Life and history: The speculative pursuit of value. Chapter 14 World history: The growth and distribution dynamics of power, truth and value. Chapter 15 Debating the mathematical science approach to international relations. References. Contributions to Conflict Management, Peace Economics and Development. Conflict, Complexity and Mathematical Social Science. Copyright page.