Mathematical logic in the 20th century / [edited by] Gerald E. Sacks.

Format:

Book

Contributor:

Sacks, Gerald E.

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Physical Description:

1 online resource (710 p.)

Edition:

1st ed.

Other Title:

Mathematical logic in the twentieth century

Place of Publication:

Singapore : Singapore University Press : River Edge, NJ : World Scientific, c2003.

Language Note:

English

Summary:

This invaluable book is a collection of 31 important both in ideas and results papers published by mathematical logicians in the 20th Century. The papers have been selected by Professor Gerald E Sacks. Some of the authors are Gödel, Kleene, Tarski, A Robinson,Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.

Contents:

Contents; THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS; THE INDEPENDENCE OF THE CONTINUUM HYPOTHESIS, 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 -LOGIC; CONSISTENCY-PROOF FOR THE GENERALIZED CONTINUUM-HYPOTHESIS1; THE MORDELL-LANG CONJECTURE FOR FUNCTION FIELDS; MODEL-THEORETIC INVARIANTS: APPLICATIONS TO RECURSIVE AND HYPER ARITHMETIC OPERATIONS; RECURSIVE FUNCTIONALS AND QUANTIFIERS OF FINITE TYPES I

A RECURSIVELY ENUMERABLE DEGREE WHICH WILL NOT SPLIT OVER ALL LESSER ONES ENUMERABLE SETS ARE DIOPHANTINE; CATEGORICITY IN POWER(1); HYPERANALYTIC PREDICATES; SOLUTION OF POST'S REDUCTION PROBLEM AND SOME OTHER PROBLEMS OF THE THEORY OF ALGORITHMS. I.1); RECURSIVELY ENUMERABLE SETS OF POSITIVE INTEGERS AND THEIR DECISION PROBLEMS; NON-STANDARD ANALYSIS; STABLE THEORIES; THE PROBLEM OF PREDICATIVITY; ON DEGREES OF RECURSIVE UNSOLVABILITY*; A DECISION METHOD FOR ELEMENTARY ALGEBRA AND GEOMETRY

MODEL COMPLETENESS RESULTS FOR EXPANSIONS OF THE ORDERED FIELD OF REAL NUMBERS BY RESTRICTED PFAFFIAN FUNCTIONS AND THE EXPONENTIAL FUNCTION STRUCTURAL PROPERTIES OF MODELS OF N1-CATEGORICAL THEORIES

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611876944

9781281876942

1281876941

9789812564894

9812564896

OCLC:

475941233