Inference, Method, and Decision: Towards a Bayesian Philosophy of Science.
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One: Informative Inference.- 1 / Information.- 1. Introduction.- 2. The Utility of Information.- 3. Disinterested Information.- 4. Noiseless Information.- 5. Fisher's Information.- 6. Conclusion.- 2 / The Paradoxes of Confirmation.- 1. General Laws.- 2. Resolution of the Paradoxes.- 3. Lawlikeness.- 4. Conclusion.- 3 / Inductivism and Probabilism.- 1. The Induction Rule.- 2. The Import of Data.- 3. Uniformity and Discovery.- 4. Conditionalization.- 5. The Maximum Entropy Rule.- 6. Invariance.- 7. Conclusion.- 4 / Inductive Generalization.- Two: Scientific Method.- 5 / Simplicity.- 1. Introduction.- 2. Measuring Simplicity.- 3. Measuring Support.- 4. Examples: Multinomial Models.- 5. Multinomial Models Without Free Parameters.- 6. Interval Hypotheses.- 7. Other Approaches.- 6 / Bayes and Popper.- 1. Introduction.- 2. Confirmation vs Corroboration.- 3. Demarcation.- 4. Simplicity.- 5. Conventionalist Stratagems.- 6. The Probability-Improbability Conundrum.- 7 / The Copernican Revelation.- 1. Introduction.- 2. Copernicus's Argument.- 3. Many Effects One Cause.- 4. The Physical Arguments.- Appendix: The Complexities of Copernicus's Theory.- 8 / Explanation.- 1. Introduction.- 2. The Covering Law Model.- 3. The Contextuality of Explanation.- 4. Explanation and Confirmation as Inverse Relations.- 5. Explanatory Power and Efficient Coding.- Three: Statistical Decision.- 9 / Support.- 1. Introduction.- 2. Fisher's Negative Way.- 3. Fisher's Practice.- 4. The Positive Way.- 5. Illustrations.- 6. Interpretation.- 7. Conclusion.- 10 / Testing.- 1. Introduction.- 2. Inductive Behavior.- 3. Methodological Difficulties.- A. Optional Stopping.- B. Randomization as a Basis for Inference.- C. One-Tailed vs Two-Tailed Tests.- D. Violation of Assumptions.- 4. Significance Level and Power.- 5. The Reference Class.- 6. Conclusion.- 11 / Bayes/Orthodox Comparisons.- 1. Introduction.- 2. The Normal Linear Model.- 3. Orthodox Regression Analysis.- 4. The Results.- 5. Higher Order Markov Chains.- 6. The Results.- 12 / Cognitive Decisions.- 1. Epiphenomenal Acceptance.- 2. Acceptance According to Levi.- 3. Kuhn and the Sociology of Science.- 4. Conclusion.- Author Index.