The Philosophical Computer
Exploratory Essays in Philosophical Computer Modeling
Patrick Grim, Gary Mar, and Paul St. Denis
with the Group for Logic & Formal Semantics
forthcoming from MIT Press/Bradford Books
Please note that this is only a sample: only
the introduction is activated here. To go to the publication page, click
here.
Pop-up footnotes, color illustrations, and
interactive animations are much like they are in the CDRom which comes
with the book. The CDRom itself, however, uses a more sophisticated format.
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Chaos, Fractals, and the Semantics of Paradox
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From the Bivalent Liar to Dynamical Semantics
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The Simple Liar in Infinite-Valued Logic
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Some Quasi-Paradoxical Sentences
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The Chaotic and Logistic Liars
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Chaotic Dualists and Strange Attractors
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Fractals in the Semantics of Paradox
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The Triplist and Three-Dimensional Attractors
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Philosophical and Metalogical Applications
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Notes on Epistemic Dynamics
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Toward a Simple Model: Some Basic Concepts
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Self-Reference and Reputation: the Simplest Cases
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Epistemic Dynamics with Multiple Inputs
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Tangled Reference to Reputation
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Conclusion
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Fractal Images of Formal Systems
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The Example of Tic-tac-Toe
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'Rug' Enumeration Images
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Tautology Fractals
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A Sierpinski Tautology Map
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Value Solids and Multi-Valued Logics
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Cellular Automata in Value Spaces
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Conclusion
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The Evolution of Generosity in a Hobbesian Model
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The Prisoner's Dilemma
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Classical Strategies in Iteration
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Generosity in an Imperfect World
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Spatialization of the Prisoner's Dilemma
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A Note on Some Deeper Strategies
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Greater Generosity in an Imperfect Spatial World
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Conclusion
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Real-Valued Game Theory: Real Life, Cooperative Chaos, and
Discrimination
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Real Life
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Chaotic Currents in Real Life
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Real-Valued Prisoner's Dilemmas
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PAVLOV and Other Two-Dimensional Strategies
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Cooperative Chaos in Infinite-Valued logic
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The Problem of Discrimination
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Continuity in Cooperation, the Veil of Ignorance,' and Forgiveness
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Conclusion
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Computation and Undecidability in the Spatialized Prisoner's
Dilemma
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Undecidability and the Prisoner's Dilemma
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Two Abstract Machines
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Computation and Undecidability in Competitive Cellular Automata
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Computation and Undecidability in the Spatialized Prisoner's Dilemma
Appendix A: Competitive Strategies
Adequate for a Minsky Register Machine Appendix
B: An Algebraic Treatment for Competitive Strategies
Afterword
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