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Front cover -- Conflict, Complexity and Mathematical Social Science -- Copyright page -- Contents -- Foreword -- Acknowledgments -- Chapter 1. Introduction and overview -- Overview of the chapters -- Chapter 2. Set theory and social reality -- The elementary concepts of set theory -- Set theory models of social reality -- Set theory models of history and literature -- Set theory, structures and mathematics -- Reality and realism -- Chapter 3. Mathematics, logic, artificial intelligence and ordinary language -- Ordinary language -- Mathematical inquiry and completed mathematical knowledge -- Mathematical logic -- Artificial intelligence -- Chapter 4. Possibility and probability: Value, conflict and choice -- Possibility and probability -- Value, conflict and choice -- Success equals power plus luck -- Chapter 5. Theory, evidence and reality: The mean and median ideals of competing groups -- Theory, evidence and reality -- Continuous spaces and single-peaked or Euclidean preferences -- The median ideals of competing groups -- Chapter 6. Social design, ethics and the amount of value -- Ethics and the utilitarian social welfare function -- The amount of value -- Social value functions on a continuous space -- A practical application -- Chapter 7. Change, multiple-entity systems and complexity -- Single-entity, multiple-entity and composite systems -- Information systems -- Behavioural systems -- Chapter 8. Mathematical psychology -- Psychology -- Mathematical psychology -- Theory, evidence and reality -- Models of life and models of single steps in life -- Chapter 9. Models of individual choice -- The nature of the choice process -- Classical models of choice -- Limitations to the value of individual choice -- Chapter 10. Mathematical sociology -- Background to mathematical sociology -- People participation in social activities -- Cultural participation in social activities -- The conceptual framework -- Chapter 11. Mathematical political science and game theory -- Game theory -- Adding Complexity to Game Theory -- Simulation: The Evolution of Cooperation -- Politics -- Chapter 12. The mathematical economics of social participation -- complexity -- Micro-economics -- Financial economics and the efficient market hypothesis -- Complexity Theory Models of Financial Markets -- Chapter 13. Life and history: The speculative pursuit of value -- Investigations of social well-being -- Economic growth and social well-being -- Participation in the social structure and social well-being -- Temporal and social comparative utility functions -- The limitations on truth and the speculative pursuit of value -- Chapter 14. World history: The growth and distribution dynamics of power, truth and value -- The growth and distribution of a system in space and time -- State, power, geography, culture, arms and war -- Representing the complete cast of actors on the world stage -- Spheres of action -- Criteria for Action -- Chapter 15. Debating the mathematical science approach to international relations -- The debate -- Debate and the representation of a subject -- Meeting the points raised -- References -- .