

This compilation of papers presented a the 2000 European Summer Meeting of the Association fo Symbolic Logic marks the centenial anniversery of Hilberts famou lecture. Held in the same hall at La Sorbonne where Hilbert firs presented his famous problems, this meeting carries specia significance to the Mathematics and Logic communities. The presentations include tutorials and research articles from some of the worlds 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. Year: 2005 Year: 2005 Table of Contents K. John Barwise (19422000) Tutorials Model theory
and geometry. Notions of computability
at higher types I. The Continuum
Hypothesis. Articles Bounded forcing
axioms and the size of the continuum. Hilbert's wide
program. Rigidity conjectures. Metapredicative
and explicit Mahlo: a prooftheoretic perspective. A twodimensional
tree ideal. Psychology looks
hopefully to logic. Russell's Logics. Partioning pairs
of uncountable sets. Aspects of the
Turing Jump. Liouville functions. Analytic and
pseudoanalytic structures.

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