Logic Colloquium 2000 (hardcover) : Lecture Notes in Logic, 19

This compilation of papers presented at the 2000 European Summer Meeting of the Association for Symbolic Logic marks the centenial anniversery of Hilbert's famous lecture. Held in the same hall at La Sorbonne where Hilbert first presented his famous problems, this meeting carries special significance to the Mathematics and Logic communities. The presentations include tutorials and research articles from some of the world's preeminent logicians. Three long articles are based on tutorials given at the meeting, and present accessible expositions of devloping research in three active areas of logic: model theory, computability, and set theory. The eleven subsequent articles cover seperate research topics in all areas of mathematical logic, including: aspects in Computer Science, Proof Theory, Set Theory, Model Theory, Computability Theory, and aspects of Philosophy. Read more... Abstract: This compilation of papers presented at the 2000 European Summer Meeting of the Association for Symbolic Logic marks the centenial anniversery of Hilbert's famous lecture. Held in the same hall at La Sorbonne where Hilbert first presented his famous problems, this meeting carries special significance to the Mathematics and Logic communities. The presentations include tutorials and research articles from some of the world's preeminent logicians. Three long articles are based on tutorials given at the meeting, and present accessible expositions of devloping research in three active areas of logic: model theory, computability, and set theory. The eleven subsequent articles cover seperate research topics in all areas of mathematical logic, including: aspects in Computer Science, Proof Theory, Set Theory, Model Theory, Computability Theory, and aspects of Philosophy Model Theory And Geometry / Elisabeth Bouscaren -- Notions Of Computability At Higher Types I / John R. Longley -- The Continuum Hypothesis / W. Hugh Woodin -- Participant Photographs -- Maurice Boffa (1939-2001) -- Bounded Forcing Axioms And The Size Of The Continuum / David Aspero -- Hilbert's Wide Program / William Ewald -- Rigidity Conjectures / Ilijas Farah -- Metapredicative And Explicit Mahlo : A Proof-theoretic Perspective / Gerhard Jager -- A Two-dimensional Tree Ideal / Sven Jossen And Otmar Spinas -- Psychology Looks Hopefully To Logic / Daniel N. Osherson And Eric Martin -- Russell's Logics / Philippe De Rouilhan -- Partitioning Pairs Of Uncountable Sets / Masahiro Shioya -- Aspects Of The Turing Jump / Theodore A. Slaman -- Liouville Functions / A. J. Wilkie -- Analytic And Pseudo-analytic Structures / Boris Zilber. Edited By René Cori ... [et Al.]. Includes Bibliographical References.

This compilation of papers presented at the 2000 European Summer Meeting of the Association for Symbolic Logic marks the centenial anniversery of Hilbert's famous lecture. Held in the same hall at La Sorbonne where Hilbert first presented his famous problems, this meeting carries special significance to the Mathematics and Logic communities. The presentations include tutorials and research articles from some of the world's preeminent logicians. Three long articles are based on tutorials given at the meeting, and present accessible expositions of devloping research in three active areas of logic: model theory, computability, and set theory. The eleven subsequent articles cover seperate research topics in all areas of mathematical logic, including: aspects in Computer Science, Proof Theory, Set Theory, Model Theory, Computability Theory, and aspects of Philosophy.

This paper is based on a series of three lectures that I gave during the LC 2000, in the context of the "tutorials" which have now become a tradition at the European meetings of the ASL.