Logic, methodology and philosophy of science IV proceedings of the Fourth International congress for Logic, Methodology and Philosophy of Science, Bucharest, 1971
Provability, Computability and Reflection
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| Corporate Authors: | , , |
| Format: | eBook |
| Language: | English |
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Amsterdam
North-Holland Pub. Co.
1973, 1973
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| Series: | Studies in logic and the foundations of mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
Table of Contents:
- Chapter 17 Features of Natural Languages in Programming LanguagesPART IV PHILOSOPHY OF LOGIC AND MATHEMATICS; Chapter 18 Towards a Foundation of General Proof Theory; Chapter 19 In Memoriam to Richard Montague; Chapter 20 Some Remarks on Lorenzen's Theory; Chapter 21 Perspectives in the Philosophy of Pure Mathematics; Chapter 22 Hauptsatz for Intuitionistic Simple Type Theory; PART V GENERAL PROBLEMS OF METHODOLOGY AND PHILOSOPHY OF SCIENCE; Chapter 23 On the Logic and Epistemology of the Causal Relation; Chapter 24 On the Different Ingredients of an Empirical Theory
- Chapter 25 Gnoseological Aspects of Present-day ScienceChapter 26 Falsification, Revolution and Continuity in the Development of Science; Chapter 27 Induction and the Empiricist Model of Knowledge; Chapter 28 Über abstrakte und idealisierte Objekte, über deren methodologischen und gnoseologischen Status; Chapter 29 The Meaning of Theoretical Terms: A Critique of the Standard Empiricist Construal; Chapter 30 Models of Theory-Change; Chapter 31 Falsification and Its Critics; Chapter 32 Demonstrative and Heuristic Aspects in the Logical Modeling of Science
- Front Cover; Logic, Methodology and Philosophy of Science IV; Copyright Page; Table of Contents; Preface; PART I MATHEMATICAL LOGIC; Chapter 1 Elementary Logic; Chapter 2 Partial Orderings of the Family of ?-models; Chapter 3 A Survey of Decidability Results for Modal, Tense and Intermediate Logics; Chapter 4 On the Number of Countable Models of a Countable Superstable Theory; Chapter 5 Countable Models with Standard Part; Chapter 6 Solving Diophantine Equations; Chapter 7 The Hierarchy of ?02-sets; Chapter 8 Analytical Definability in a Playful Universe
- PART II FOUNDATIONS OF MATHEMATICAL THEORIESChapter 9 On Recursive Unsolvability of Hilbert's Tenth Problem; Chapter 10 Constructive Mathematics and Models of Intuitionistic Theories; Chapter 11 An Interpretation of Intuitionistic Number Theory; Chapter 12 Nonstandard Arithmetic and Generic Arithmetic; PART III AUTOMATA AND PROGRAMMING LANGUAGES; Chapter 13 Models for Various Type-Free Calculi; Chapter 14 The Dangers of Computer-Science Theory; Chapter 15 Sur un Langage Equivalent au Langage de Dyck; Chapter 16 Formalization of Some Notions in Terms of Computational Complexity
- PART VI FOUNDATIONS OF PROBABILITY AND INDUCTIONChapter 33 Probability in Science: A Personalistic Account; Chapter 34 Induction and Probability in the Nineteenth Century; Chapter 35 Extension of the Theory of Probability; Chapter 36 The Concept of Probability in Psychological Experiments; Chapter 37 Objective Single-Case Probabilities and the Foundations of Statistics; Chapter 38 Propensities, Statistics and Inductive Logic; Chapter 39 Carnap's Normative Theory of Inductive Probability; Chapter 40 New Foundations of Objective Probability: Axioms for Propensities
- Includes bibliographical references