## Logic Colloquium 2000

Proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, held in Paris, France July 23-31, 2000

Rene Cori, Alexander Razborov, Stevo Todorcevic, Carol Wood, editors

Year: 2005

ISBN: 1-56881-252-3

350 pages. Paperback.

Year: 2005

ISBN: 1-56881-251-5

350 pages. Hardcover.

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.

### Table of Contents

- K. John Barwise (1942-2000)

**Tutorials**

- Model theory and geometry.

Elisabeth Bouscaren - Notions of computability at higher types I.

John R. Longley - The Continuum Hypothesis.

W. Hugh Woodin

**Articles**

- Bounded forcing axioms and the size of the continuum.

David Asperó - Hilbert’s wide program.

William Ewald - Rigidity conjectures.

Ilijas Farah - Metapredicative and explicit Mahlo: a proof-theoretic perspective.

Gerhard Jäger - 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 - Partioning 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