Sets and Proofs

'All the authors are leaders in their fields, some articles pushing forward the technical boundaries of the subject, others providing readable and authoritative overviews of particular important topics … a number of papers can be expected to become classics, essential to any good library (individual or institutional).' Extrait de L'Enseignement Mathématique

• 1. An introduction to finitary analyses of proof figures T. Arai; 2. What mathematical truth could not be - II P. Benacerraf; 3. Proof search in constructive logics R. Dyckhoff and L. F. Pinto; 4. David's trick S. D. Friedman; 5. A semantical calculus for intuitionistic propositional logic J. Hudelmaier; 6. An iteration model violating the singular cardinals hypothesis P. Koepke; 7. An introduction to core model theory B. Löwe and J. R. Steel; 8. Games of countable length I. Neeman; 9. On the complexity of the propositional calculus P. Pudlak; 10. The realm of ordinal analysis M. Rathjen; 11. Covering properties of core models E. Schimmerling; 12. Ordinal systems A. Setzer; 13. Polish group topologies S. Solecki; 14. Forcing closed unbounded subsets of Nw+1 M. C. Stanley; 15. First steps into metapredicativity in explicit mathematics T. Strahm; 16. What makes a (pointwise) subrecursive hierarchy slow growing? A. Weiermann; 17. Minimality arguments for infinite time Turing degrees P. D. Welch.