Wolfgang Stegmüller

Introduction: Overview of the content of the second volume. III. The logical foundations of statistical inference. 1. Beyond Popper and Carnap. 2. Prelude: The intuitive background. 3. The basic axioms. Statistical independence. 4. The comparative support logic. 5. The likelihood rule. 6. The effectiveness of the likelihood rule. 7. Preliminary postlude: Additional considerations on the fundamental statistical concepts. 8. Randomness, population, and sample selection. 9. The issues of statistical test theory, illustrated by two competing test theories. 10. Problems of estimation theory. 11. Critical reflections on likelihood support and test theory. 12. Subjectivism or objectivism. 13. Attempt at an outline of the logical structure of R. A. Fisher's fiducial argument. Bibliography. IV. Statistical inference — Statistical justification — Statistical analysis instead of statistical explanation. 1. Eleven paradoxes and dilemmas. 2. Discussion. 3. Statistical justifications instead of statistical explanations. The concept of statistical justification as an explication of the individual case rule. 4. Statistical analyses. Bibliography. Appendix I: Indeterminism of the second type. Appendix II: The representation theorem of B. de Finetti. 1. Intuitive approach. 2. Formal outline. Transition to the continuous case. Bibliography. Appendix III: Metricization of qualitative probability fields. 1. Axiomatic theories of metricization. Extensive quantities. 2. Metricization of probability fields. Bibliography. Author index. List of symbols and abbreviations.