Logic Colloquium 2005 : proceedings of the Annual European Summer Meeting of the Association for Symbolic Logic, held in Athens, Greece, July 28 - August 3, 2005

The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are invited surveys of recent developments. Highlights of this volume from the 2005 meeting include three papers on different aspects of connections between model theory and algebra; a survey of recent major advances in combinatorial set theory; a tutorial on proof theory and modal logic; and a description of Bernay's philosophy of mathematics. COVER......Page 1 HALF-TITLE......Page 3 TITLE......Page 7 COPYRIGHT......Page 8 CONTENTS......Page 9 INTRODUCTION......Page 11 Plenary Speakers......Page 13 Model Theory......Page 14 Philosophical Logic......Page 15 THREAD ALGEBRA AND RISK ASSESSMENT SERVICES......Page 17 REFERENCES......Page 32 COVERING DEFINABLE MANIFOLDS BY OPEN DEFINABLE SUBSETS......Page 34 REFERENCES......Page 40 ISOMORPHISMS AND DEFINABLE RELATIONS ON COMPUTABLE MODELS......Page 42 REFERENCES......Page 60 INDEPENDENCE FOR TYPES IN ALGEBRAICALLY CLOSED VALUED FIELDS......Page 62 REFERENCES......Page 72 SIMPLE GROUPS OF FINITE MORLEY RANK......Page 73 REFERENCES......Page 82 TOWARDS A LOGIC OF TYPE-FREE MODALITY AND TRUTH......Page 84 REFERENCES......Page 99 STRUCTURAL ANALYSIS OF ARONSZAJN TREES......Page 101 PROOF ANALYSIS IN NON-CLASSICAL LOGICS......Page 123 REFERENCES......Page 142 PAUL BERNAYS’ LATER PHILOSOPHY OF MATHEMATICS......Page 145 WRITINGS OF PAUL BERNAYS......Page 164 OTHER WRITINGS......Page 165 PROOFNETS FOR S5: SEQUENTS AND CIRCUITS FOR MODAL LOGIC......Page 167 REFERENCES......Page 187 RECURSION ON THE PARTIAL CONTINUOUS FUNCTIONALS......Page 189 REFERENCES......Page 215 A TRANSACTIONAL APPROACH TO THE LOGIC OF TRUTH......Page 218 REFERENCES......Page 235 ON SOME PROBLEMS IN COMPUTABLE TOPOLOGY......Page 237 REFERENCES......Page 268 MONOTONE INDUCTIVE DEFINITIONS AND CONSISTENCY OF NEW FOUNDATIONS......Page 271 Lecture Notes in Logic......Page 289 COVER 1 HALF-TITLE 3 TITLE 7 COPYRIGHT 8 CONTENTS 9 INTRODUCTION 11 SPEAKERS AND TITLES 13 Tutorial Speakers 13 Plenary Speakers 13 Special Sessions 14 Computability in Analysis 14 Computer Science Logic 14 Model Theory 14 Philosophical Logic 15 THREAD ALGEBRA AND RISK ASSESSMENT SERVICES 17 REFERENCES 32 COVERING DEFINABLE MANIFOLDS BY OPEN DEFINABLE SUBSETS 34 REFERENCES 40 ISOMORPHISMS AND DEFINABLE RELATIONS ON COMPUTABLE MODELS 42 REFERENCES 60 INDEPENDENCE FOR TYPES IN ALGEBRAICALLY CLOSED VALUED FIELDS 62 REFERENCES 72 SIMPLE GROUPS OF FINITE MORLEY RANK 73 REFERENCES 82 TOWARDS A LOGIC OF TYPE-FREE MODALITY AND TRUTH 84 REFERENCES 99 STRUCTURAL ANALYSIS OF ARONSZAJN TREES 101 PROOF ANALYSIS IN NON-CLASSICAL LOGICS 123 REFERENCES 142 PAUL BERNAYS’ LATER PHILOSOPHY OF MATHEMATICS 145 WRITINGS OF PAUL BERNAYS 164 OTHER WRITINGS 165 PROOFNETS FOR S5: SEQUENTS AND CIRCUITS FOR MODAL LOGIC 167 REFERENCES 187 RECURSION ON THE PARTIAL CONTINUOUS FUNCTIONALS 189 REFERENCES 215 A TRANSACTIONAL APPROACH TO THE LOGIC OF TRUTH 218 REFERENCES 235 ON SOME PROBLEMS IN COMPUTABLE TOPOLOGY 237 REFERENCES 268 MONOTONE INDUCTIVE DEFINITIONS AND CONSISTENCY OF NEW FOUNDATIONS 271 Lecture Notes in Logic 289 The Annual European Meeting Of The Association For Symbolic Logic, Generally Known As The Logic Colloquium, Is The Most Prestigious Annual Meeting In The Field. Many Of The Papers Presented There Are Invited Surveys Of Developments, And The Rest Of The Papers Are Chosen To Complement The Invited Talks. This 2007 Volume Includes Surveys, Tutorials, And Selected Research Papers From The 2005 Meeting. Highlights Include Three Papers On Different Aspects Of Connections Between Model Theory And Algebra; A Survey Of Major Advances In Combinatorial Set Theory; A Tutorial On Proof Theory And Modal Logic; And A Description Of Bernay's Philosophy Of Mathematics. Edited By Costas Dimitracopoulos ... [et Al.]. Includes Bibliographical References.