Author | Kuipers, Theo A. F. author |
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Title | Studies in Inductive Probability and Rational Expectation [electronic resource] / by Theo A. F. Kuipers |
Imprint | Dordrecht : Springer Netherlands, 1978 |
Connect to | http://dx.doi.org/10.1007/978-94-009-9830-8 |
Descript | XII, 154 p. online resource |
1. Introduction -- 1. Concept Explication -- 2. Objectives and Survey -- 2. Cognitive Rationality -- 1. On the Explication of the Concept of Rationality -- 2. Cognitive Rationality and Patterns of Expectation -- 3. Inductive Reasoning and Inductive Probability Theory -- 3. Logico-Mathematical Preliminaries -- 1. Logical Vocabulary -- 2. Set-theoretical Vocabulary -- 3. Some Elements of Probability Theory -- 4. Formally Rational Expectation in a Paradigmatic Context -- 1. Paradigmatic Contexts -- 2. Two Conditions for Rational Expectation -- 3. A Framework for a Paradigmatic Context -- 4. First Analysis of a Rational Expectation Pattern -- 5. A Framework for a Paradigmatic Context (continued) -- 6. Third Formal Condition for Rational Expectation -- 7. Decidable Contexts -- 5. Generalized Carnapian Systems -- 1. Introduction -- 2. Constitutive Principles and Definition of GC-systems -- 3. General Analysis of GC-systems -- 4. Analysis of Positive Inductive GC-systems (0 < ? < oo) -- 5. Analysis of Negative Inductive GC-systems (? < 0) -- Appendix to Section 2 (Proof of T2) -- 6. Hintikka and Universalized Carnapian Systems -- 1. Introduction -- 2. NH-systems -- 3. Hintikka-systems (H-systems) -- 4. Some Fundamental Properties of H-systems -- 5. An Urn-model for H-systems -- 6. The Equivalence of NH- and SH-systems: Universalized Carnapian systems (UC-systems) -- 7. Analysis of UC-systems -- 8. Fundamental Discussion Related to Applications -- 9. Finite Parameters for H-systems -- 10. Reformulation of H-systems; k ? ? -- 11. GH-systems and G UC-systems -- 12. Survey of Systems -- Appendix to Section 2 (Proof of T1 ) -- 7. Rational Expectation in Multinomial Contexts -- 1. Carnapโs Intended Application -- 2. The Multinomial Context -- 3. Formally Rational Patterns for Open Multinomial Contexts -- 4. Material Conditions of Adequacy; UC-systems as Expectation Pattern for Open Multinomial Contexts -- 5. Constitutional Distributions for Open Multinomial Contexts -- 6. The Hypergeometric Context -- 8. Some Problems and Related Topics -- 1. PER-systems -- 2. On Weakening WPERR -- 3. *UC*-systems and k ? ? -- 4. Confirmation Theory -- 5. Falsification -- 6. Rules of Acceptance in UC-systems -- 9. Concluding Remarks -- References -- Index of Names -- Index of Subjects -- Recurring Symbols -- Conditions/Principles/Axioms -- Definition of Systems