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Studies in Inductive Probability and Rational Expectation

Author: Theo A F Kuipers
Publisher: Dordrecht : Springer Netherlands, 1978.
Series: Synthese Library, Monographs on Epistemology, Logic, Methodology, Philosophy of Science, Sociology of Science and of Knowledge, and on the Mathematical Methods of Social and Behavioural Sciences, 123.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
3 in philosophy, and therefore in metaphilosophy, cannot be based on rules that avoid spending time on pseudo-problems. Of course, this implies that, if one succeeds in demonstrating convincingly the pseudo-character of a problem by giving its 'solution', the time spent on it need not be seen as wasted. We conclude this section with a brief statement of the criteria for concept explication as they have been  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Theo A F Kuipers
ISBN: 9789400998308 9400998309
OCLC Number: 851393713
Description: 1 online resource (xii, 154 pages).
Contents: 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. Carnap's 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.
Series Title: Synthese Library, Monographs on Epistemology, Logic, Methodology, Philosophy of Science, Sociology of Science and of Knowledge, and on the Mathematical Methods of Social and Behavioural Sciences, 123.
Responsibility: by Theo A.F. Kuipers.

Abstract:

3 in philosophy, and therefore in metaphilosophy, cannot be based on rules that avoid spending time on pseudo-problems. They have to be as precise as possible and as simple as possible.  Read more...

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