Abstract

Part I: Foundations 1. The Incomputable, the Non-constructive and the Undecidable in Mathematical Economics 2. Advanced Computational Complexity Theory from an Elementary Standpoint 3. Economic Dynamics and Computation - Recursion Theoretic Foundations for the Icarus Tradition 4: Let's Take the Con out of Mathematical Economics Part II: General Equilibrium Theory 5. Effectivity and Constructivity in Economic Theory 6. Algorithmic Foundations of Computable General Equilibrium Theory 7. Uncomputability and Undecidability in Economic Theory Part III: Methodology 8. The Unreasonable Ineffectivity of Mathematics in Economics 9. A Constructive Interpretation of Sraffa's Mathematical Economics 10. The Computable Alternative in the Mathematization of Economics Part IV: Simon's Behavioural Economics - A Computable Vision 11. Computable Rationality 12. Boundedly Rational Choice and Satisficing Decisions 13. Simon's Epicurean Adventures - A Prolegomena. Appendix 1 to Part IV: Artificing a Rationally Unbounded Life. Appendix 2 to Part IV: The Logic of Discovery, Problem Solving and Retroduction. Appendix 3 to Part IV: Herbert Simon's Letter on Computable Economics Part V: Inductive Reflections 14. De-Mystifying Induction, Falsification and other Popperian Extravaganzas 15. Re-reading Jevons's Principles of Science: Induction Redux 16. Impossibility of Effectively Computable Inductive Policies in a Complex Dynamic Economy. Part VI: Concluding Notes 17. Epilogue - A Research Program for the Algorithmic Social Sciences

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