Author | Cheng, Chung-Ying. author |
---|---|
Title | Peirce's and Lewis's Theories of Induction [electronic resource] / by Chung-Ying Cheng |
Imprint | Dordrecht : Springer Netherlands, 1969 |
Connect to | http://dx.doi.org/10.1007/978-94-011-9367-2 |
Descript | XIII, 206 p. online resource |
I: Introduction -- 1. Problem of Justifying Induction and Proposal for Its Dissolution -- 2. Two Types of Recent Arguments for the Validity of Induction -- 3. Arguments from Paradigm Cases and Uses of Words -- 4. Practical Arguments -- 5. Induction as a Genuine Problem and Study of Peirce and Lewis -- II: Scope of Peirce's Theory of Induction -- III: The Nature and Validity of Inference -- 1. A General Theory of Inference -- 2. Necessary Inference and Probable Inference -- 3. Validity of Probable Inference -- IV: Probable Inference and Justifying Induction -- 1. Induction and Apagogical Inversion of Statistical Deduction -- 2. Induction As a Valid Probable Inference -- V: Requirements for the Validity of Induction -- 1. General Remakrs -- 2. Peirce on Fair Sampling and Fair Samples -- 3. Principle of Fair Sampling: A New Formulation -- 4. Peirce on Predesignation -- 5. Relevancy of Predesignation for the Validity of Induction -- VI: Probability and the Validity of Induction -- 1. General Remarks -- 2. Peirce's Two Empirical Conceptions of Probability -- 3. Peirce's Objections to the Laplacian Definition of Probability and Criticism -- VII: A Non-Probabilistic Justification of Induction -- 1. General Remarks -- 2. Self-Correcting Nature of Inductive Method -- 3. Criteria for Defining Truth and Justifying Induction -- 4. Other Arguments for the Necessity of General Validity of Induction -- VIII: Concluding Remarks on Peirce's Non-Probabilistic Justification on Induction -- IX: Problems in Lewis's Theory of Induction -- X: Induction and Analysis of Knowledge of Reality -- 1. General Remarks -- 2. Empirical Knowledge and โA prioriโ Concepts -- 3. A Fundamental Principle in Establishing Criteria of Reality -- XI: An โA Priori Analyticalโ Justification of Induction -- 1. General Remarks -- 2. Problems of Justifying Induction in the Theories of Reality and Knowledge -- 3. Empirical Generalizations as Interpretations of Experience and Principle A -- 4. Analyticity of Principle A -- XII: Implications of Lewis's โA Priori Analytical Justification of Induction -- 1. From Principle A to Justification of Argument from Past to Future -- 2. Lewis on the Practical Successfulness of Induction -- XIII: Concluding Remarks on Lewis's โA Priori Analyticalโ Justification of Induction -- XIV: Nature of Probability and Rational Credibility -- 1. General Remarks -- 2. Empirical Interpretation of Probability -- 3. Logical Interpretation of Probability -- 4. Rational Credibility, Fair Sampling and Logical Probability -- XV: Criteria for Determining Rational Credibility -- 1. Questions Regarding Criteria for Determining Rational Credibility -- 2. Degrees of Rational Credibility and Criteria for Determining Them -- 3. Justifying Acceptance of Criteria for Determining Rational Credibility -- XVI: Conclusion -- 1. Similarity Between Peirce's and Lewis's Theories of Induction -- 2. Significances of Peirce's and Lewis's Arguments -- 3. Toward a Comprehensive Theory of Justifying Induction -- 4. Bearings upon Practicist and Linguist Arguments -- Appendix I. A Chronological Listing of Peirce's Papers Directly Bearing upon Induction and Probability -- Appendix II. Proof of the Logical Law of Large Numbers (the Maximum Value Law of Hypergeometric Probability) -- Appendix III. Probabilities of Estimates of Values of Population Parameters -- Selected Bibliography