Description
Book SynopsisThis 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.
Table of ContentsTutorials; Model Theory and Geometry; Notions of Computability at Higher Types I; The Continuum Hypothesis; Participant Photographs; Articles; Bounded Forcing Axioms and the Size of the Continuum; Hilbert's Wide Program; Rigidity Conjectures; Metapredicative and Explicit Mahlo: a Proof-Theoretic Perspective; A Two-Dimensional Tree Ideal; Psychology Looks Hopefully to Logic; Russell's Logics; Partitioning Pairs of Uncountable Sets; Aspects of the Turing Jump; Liouville Functions; Analytic and Pseudo-Analytic Structures
