UID:
almahu_9947367929002882
Format:
1 online resource (623 p.)
ISBN:
1-282-30907-2
,
9786612309076
,
0-08-095496-0
Series Statement:
Studies in logic and the foundations of mathematics ; v. 87
Content:
Provability, Computability and Reflection
Note:
Description based upon print version of record.
,
Front Cover; Logic Colloquium 76; Copyright Page; TABLE OF CONTENTS; PREFACE; INVITED ADDRESSES; PART ONE ""STUDIES IN LOGIC"" SYMPOSIUM; Chapter 1 Twenty-five years of ""Studies in Logic""; Chapter 2 Hyperfinite model theory; Chapter 3 On the kind of data needed for a theory of proofs; Chapter 4 The foundations of mathematics in Poland after World War II; Chapter 5 A tribute to A. Mostowski; PART TWO HISTORY OF MODERN LOGIC; Chapter 6 Bolzano's contribution to logic and philosophy of mathematics; Chapter 7 The simple theory of types; Chapter 8 Set-theoretic semantics
,
Chapter 9 On the work and influence of Stanislaw LesniewskiChapter 10 Inference without axiom or paradoxes; Chapter 11 Leopold Löwenheim: life, work, and early influence; PART THREE APPLICATIONS OF MODEL THEORY; Chapter 12 Relatively homogeneous structures; Chapter 13 Applications of logic to the problem of splitting Abelian groups; Chapter 14 Stability and N0-categoricity of nonabelian groups; Chapter 15 Existentially closed models of basic number theory; PART FOUR RECURSION THEORY; Chapter 16 Inductive schemata and recursively continuous functionals
,
Chapter 17 Between recursion theory and set theoryChapter 18 Computable and recursively countable functions of higher type; Chapter 19 Aspects of constructivity in mathematics; Chapter 20 The model C of the partial continuous functionals; PART FIVE COMPLEXITY OF COMPUTATIONS; Chapter 21 Bounded concatenation as a uniform method for proving lower complexity bounds; Chapter 22 The network complexity and the breadth of Boolean functions
,
Chapter 23 Complexity of derivations from quantifier-free Horn formulae, mechanical introduction of explicit definitions, and refinement of completeness theoremsPART SIX SET THEORY; Chapter 24 Precipitous ideals; Chapter 25 The real line and the universe; Chapter 26 Adding dependent choice to the prime ideal theorem; Chapter 27 The one/many problem in the foundations of set theory; Chapter 28 Sets having calibre N1
,
English
Additional Edition:
ISBN 0-7204-0691-9
Language:
English
