Logic, Foundations of Mathematics, and Computability Theory [electronic resource] : Part One of the Proceedings of the Fifth International Congress of Logic, Methodology and Philosophy of Science, London, Ontario, Canada-1975 / edited by Robert E. Butts, Jaakko Hintikka
The Fifth International Congress of Logic, Methodology and Philosophy of Science was held at the University of Western Ontario, London, Canada, 27 August to 2 September 1975. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science, and was sponsored by the National Research Council of Canada and the University of Western Ontario. As those associated closely with the work of the Division over the years know well, the work undertaken by its members varies greatly and spans a number of fields not always obviously related. In addition, the volume of work done by first rate scholars and scientists in the various fields of the Division has risen enormously. For these and related reasons it seemed to the editors chosen by the Divisional officers that the usual format of publishing the proceedings of the Congress be abandoned in favour of a somewhat more flexible, and hopefully acceptable, method of preยญ sentation. Accordingly, the work of the invited participants to the Congress has been divided into four volumes appearing in the University of Western Ontario Series in Philosophy of Science. The volumes are entitled, Logic, Foundations of Mathematics and Computability Theory, Founยญ dational Problems in the Special Sciences, Basic Problems in Methodolยญ ogy and Linguistics, and Historical and Philosophical Dimensions of Logic, Methodology and Philosophy of Science
CONTENT
I/Mathematical Logic -- Constructions โ{128}{152}by Finiteโ{128}{153} -- Some Eastern Two Cardinal Theorems -- Functional Interpretation and Kripke Models -- Axioms for Intuitionistic Mathematics Incompatible with Classical Logic -- II/Foundations of Mathematical Theories -- Ineffability Properties of Cardinals II -- Non-Standard Analysis -- Some Purely Mathematical Results Inspired by Mathematical Logic -- Interpretability of Elementary Theories -- III/Category Theory -- Categorical Foundations and Foundations of Category Theory -- IV/Computability Theory -- Re Sets Higher Up (Dedicated to J. B. Rosser) -- Computable Numberings -- On the Basic Notions in the Theory of Induction -- Basic Concepts of Computer Science and Logic -- Structural Relations between Programs and Problems -- Algorithmic Logic, a Tool for Investigations of Programs -- V/Philosophy of Logic and Mathematics -- On a Semantical Language Hierarchy in a Constructive Mathematical Logic -- VI/On The Concept of a Set -- Large Sets -- What is the Iterative Conception of Set? -- VII/Philosophy of Logic -- Do-it-yourself Semantics for Classical Sequent Calculi, including Ramified Type Theory -- Some Philosophical Problems of Hintikkaโ{128}{153}s Possible Worlds Semantics -- Index of Names
