From Zeno to Arbitrage Essays on Quantity, Coherence, and Induction

Brian Skyrms presents a set of influential essays on the nature of quantity, probability, coherence, and induction. The first part explores the nature of quantity and includes essays on tractarian nominalism, combinatorial possibility, and coherence. Part Two proceeds to examine coherent updating of degrees of belief in various learning situations. Finally, in Part Three, Skyrms develops an account of aspects of inductive reasoning, which proceeds from specific problems to general considerations. These essays span the breadth of Skyrms's illustrious career and will be essential reading for scholars and advanced students in philosophy of science and formal epistemology.

Preface. Acknowledgements. I. Zeno and the Metaphysics of Quantity. Introduction. 1. Zeno's Paradox of Measure. 2. Tractarian Nominalism. 3. Logical Atoms and Combinatorial Possibility. 4. Strict Coherence, Sigma Coherence, and the Metaphysics of Quantity. II. Coherent Degrees of Belief. Introduction. 5. Higher Order Degrees of Belief. 6. A Mistake in Dynamic Coherence Arguments?. 7. Dynamic Coherence and Probability Kinematics. 8. Updating, Supposing, and MAXENT. 9. The Structure of Radical Probabilism. 10. Diachronic Coherence and Radical Probabilism. III. Induction. Introduction. 11. Carnapian Inductive Logic for Markov Chains. 12. Carnapian Inductive Logic and Bayesian Statistics. 13. Bayesian Projectibility.

Brian Skyrms is Distinguished Professor of Logic and Philosophy of Science and Economics at the University of California, Irvine. His interests cover a range of topics, including the evolution of conventions, the social contract, inductive logic, decision theory, rational deliberation, the metaphysics of logical atomism, causality, and truth. He is the author of Signals: Evolution, Learning, and Information (OUP, 2010).