Logic Colloquium 2000 (hardcover): Lecture Notes in Logic, 19Rene Cori, Alexander Razborov, Stevo Todorcevic, Carol Wood This 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. |
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abstract algebraically closed fields axiomatic cartesian closed category class of Woodin computable functionals Computer Science conjecture construction continuous functionals Continuum Hypothesis countable definable definition editors elements equivalent example exists a proper explicit mathematics extensional Feferman finite type formula geometry H w2 hereditarily hierarchy higher type computability Hilbert Hrushovski ideals independence inductive infinite inner model isomorphism iteration Journal of Symbolic Kleene computable Kleene's large cardinal axiom Lecture Notes Lemma Logic Colloquium Mahlo Martin's Maximum Mathematical Society metapredicative model theory Moschovakis natural numbers Normann North-Holland notions of computability operations ordinal paradoxes partial functions peff problem Projective Determinacy proof proof-theoretic proper class quotients recursion theory recursive functions Russell Section semantics sequential set theory strongly minimal Suppose Symbolic Logic theorem theory of types transfinite Turing type structure universally Baire universally Baire sets w₁ Woodin cardinals