Mathematical logic in the 20th century /
Mathematical logic in the 20th century /
Mathematical logic in the twentieth century
[edited by] Gerald E. Sacks.
- Singapore : River Edge, N.J. : Singapore University Press ; World Scientific, ©2003.
- 1 online resource (xiii, 693 pages) : illustrations
Includes bibliographical references.
The independence of the continuum hypothesis / The independence of the continuum hypotehsis II / Marginalia to a theorem of silver / Three theorems on recursive enumeration. I. Decomposition. II. Maximal set. III. Enumeration without duplication / Higher set theory and mathematical practice / Introduction to [Pi ¹₂]-logic / Consistency-proof for the generalized continuum-hypothesis / The Mordell-Lang conjecture for function fields / Model-theoretic invariants: applications to recursive and hyperarithmetic operations / Recursive functionals and quantifiers of finite types I / A recursively enumerable degree which will not split over all lesser ones / Measurable cardinals and analytic games / Enumerable sets are diophantine / Categoricity in power / Hyperanalytic predicates / Solution of Post's reduction problem and some other problems of the theory of algorithms / Recursively enumerable sets of positive integers and their decision problems / Non-standard analysis / The recursively enumerable degrees are dense / Measurable cardinals and constructible sets / Stable theories / The problem of predicativity / On the singular cardinals problem / Automorphisms of the lattice of recursively enumerable sets. Part I: Maximal sets / A model of set-theory in which every set of reals is Lebesgue measurable / On degrees of recursive unfolvability / A decision method for elementary algebra and geometry / Denumerable models of complete theories / Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function / Supercompact cardinals, sets of reals, and weakly homogenous trees / Sturctural properties of models of N₁-categorical theories / Paul J. Cohen -- Paul J. Cohen -- K. I. Devlin and R. B. Jensen -- Richard M. Friedberg-- Harvey M. Friedman -- Jean-Yves Girard -- Kurt Gödel-- Ehud Hrushovski-- . G. Kreisel-- S. C. Kleene -- A. H. Lachlan -- Donald A. Martin -- Ju. V. Matijasevič -- Michael Morley -- Y. N. Moschovakis -- A. A. Mučhnik -- Emil L. Post -- Abraham Robinson -- Gerald E. Sacks -- Dana Scott -- S. Shelah -- J. R. Schoenfield -- Jack Silver -- Robert Soare -- Robert M. Solovay -- Clifford Spector -- Alfred Tarski -- R. L. Vaught -- A. J. Wilkie -- W. Hugh Woodin -- B. I. Zil'ber -- Introduction -- Permissions.
This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
English.
9812564896 (electronic bk.) 9789812564894 (electronic bk.) 9789810247362 9810247362 1281876941 9781281876942 9786611876944 6611876944
2004296740
Logic, Symbolic and mathematical.
Logique symbolique et mathématique.
MATHEMATICS--Infinity.
MATHEMATICS--Logic.
Logic, Symbolic and mathematical.
Electronic book.
Electronic books.
Electronic books.
QA9.2 / .M36 2003eb
511.3
Includes bibliographical references.
The independence of the continuum hypothesis / The independence of the continuum hypotehsis II / Marginalia to a theorem of silver / Three theorems on recursive enumeration. I. Decomposition. II. Maximal set. III. Enumeration without duplication / Higher set theory and mathematical practice / Introduction to [Pi ¹₂]-logic / Consistency-proof for the generalized continuum-hypothesis / The Mordell-Lang conjecture for function fields / Model-theoretic invariants: applications to recursive and hyperarithmetic operations / Recursive functionals and quantifiers of finite types I / A recursively enumerable degree which will not split over all lesser ones / Measurable cardinals and analytic games / Enumerable sets are diophantine / Categoricity in power / Hyperanalytic predicates / Solution of Post's reduction problem and some other problems of the theory of algorithms / Recursively enumerable sets of positive integers and their decision problems / Non-standard analysis / The recursively enumerable degrees are dense / Measurable cardinals and constructible sets / Stable theories / The problem of predicativity / On the singular cardinals problem / Automorphisms of the lattice of recursively enumerable sets. Part I: Maximal sets / A model of set-theory in which every set of reals is Lebesgue measurable / On degrees of recursive unfolvability / A decision method for elementary algebra and geometry / Denumerable models of complete theories / Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function / Supercompact cardinals, sets of reals, and weakly homogenous trees / Sturctural properties of models of N₁-categorical theories / Paul J. Cohen -- Paul J. Cohen -- K. I. Devlin and R. B. Jensen -- Richard M. Friedberg-- Harvey M. Friedman -- Jean-Yves Girard -- Kurt Gödel-- Ehud Hrushovski-- . G. Kreisel-- S. C. Kleene -- A. H. Lachlan -- Donald A. Martin -- Ju. V. Matijasevič -- Michael Morley -- Y. N. Moschovakis -- A. A. Mučhnik -- Emil L. Post -- Abraham Robinson -- Gerald E. Sacks -- Dana Scott -- S. Shelah -- J. R. Schoenfield -- Jack Silver -- Robert Soare -- Robert M. Solovay -- Clifford Spector -- Alfred Tarski -- R. L. Vaught -- A. J. Wilkie -- W. Hugh Woodin -- B. I. Zil'ber -- Introduction -- Permissions.
This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.
English.
9812564896 (electronic bk.) 9789812564894 (electronic bk.) 9789810247362 9810247362 1281876941 9781281876942 9786611876944 6611876944
2004296740
Logic, Symbolic and mathematical.
Logique symbolique et mathématique.
MATHEMATICS--Infinity.
MATHEMATICS--Logic.
Logic, Symbolic and mathematical.
Electronic book.
Electronic books.
Electronic books.
QA9.2 / .M36 2003eb
511.3