Lévy, Azriel 1934
Overview
Works:  17 works in 107 publications in 5 languages and 2,035 library holdings 

Genres:  Bibliography Records and correspondence Archives Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other 
Classifications:  QA248, 511.3 
Publication Timeline
.
Most widely held works by
Azriel Lévy
Basic set theory by
Azriel Lévy(
Book
)
28 editions published between 1978 and 2012 in 3 languages and held by 647 WorldCat member libraries worldwide
DOVER BOOKS ON MATHEMATICS; Title Page; Copyright Page; Dedication; Preface to the Dover Edition; Preface; Table of Contents; Introduction; Part A  Pure Set Theory; Chapter I  The Basic Notions; 1. The Basic Language of Set Theory; 2. The Axioms of Extensionality and Comprehension; 3. Classes, Why and How; 4. Classes, the Formal Introduction; 5. The Axioms of Set Theory; 6. Relations and Functions; Chapter II  Order and WellFoundedness; 1. Order; 2. WellOrder; 3. Ordinals; 4. Natural Numbers and Finite Sequences; 5. WellFounded Relations; 6. WellFounded Sets; 7. The Axiom of Foundation
28 editions published between 1978 and 2012 in 3 languages and held by 647 WorldCat member libraries worldwide
DOVER BOOKS ON MATHEMATICS; Title Page; Copyright Page; Dedication; Preface to the Dover Edition; Preface; Table of Contents; Introduction; Part A  Pure Set Theory; Chapter I  The Basic Notions; 1. The Basic Language of Set Theory; 2. The Axioms of Extensionality and Comprehension; 3. Classes, Why and How; 4. Classes, the Formal Introduction; 5. The Axioms of Set Theory; 6. Relations and Functions; Chapter II  Order and WellFoundedness; 1. Order; 2. WellOrder; 3. Ordinals; 4. Natural Numbers and Finite Sequences; 5. WellFounded Relations; 6. WellFounded Sets; 7. The Axiom of Foundation
Foundations of set theory by
Abraham Adolf Fraenkel(
Book
)
35 editions published between 1958 and 2001 in English and Dutch and held by 584 WorldCat member libraries worldwide
Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively nontechnical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss typetheoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians
35 editions published between 1958 and 2001 in English and Dutch and held by 584 WorldCat member libraries worldwide
Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively nontechnical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss typetheoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians
Abstract set theory by
Abraham Adolf Fraenkel(
Book
)
12 editions published between 1953 and 1976 in English and Undetermined and held by 303 WorldCat member libraries worldwide
12 editions published between 1953 and 1976 in English and Undetermined and held by 303 WorldCat member libraries worldwide
A hierarchy of formulas in set theory by
Azriel Lévy(
Book
)
14 editions published between 1965 and 1974 in English and held by 203 WorldCat member libraries worldwide
14 editions published between 1965 and 1974 in English and held by 203 WorldCat member libraries worldwide
The gains from diversification reconsidered : transaction costs and superior information by
Azriel Lévy(
Book
)
2 editions published in 1995 in English and held by 47 WorldCat member libraries worldwide
2 editions published in 1995 in English and held by 47 WorldCat member libraries worldwide
The management of foreign exchange reserves with balanceof₋payments and external debt considerations : the case of Israel by
Haim Levy(
Book
)
1 edition published in 1998 in English and held by 15 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 15 WorldCat member libraries worldwide
The theory of transfinite effectivity. Prepared for the U.S. Office of Naval Research, Information Systems Branch, under contract
no. 625583510 by
Azriel Lévy(
Book
)
3 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1963 in English and held by 4 WorldCat member libraries worldwide
Cardinal arithmetic at work: the 8th Midrasha Mathematicae Workshop dedicated to Professor Azriel Levy : [... 8th Midrasha
Mathematicae Mathematics Workshop, held ... in Jerusalem in March 2004] by 2004, Yerûšālayim) Midrasha Mathematicae Workshop (8(
Book
)
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
THE DEFINABILITY OF CARDINAL NUMBERS by
Azriel Lévy(
Book
)
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
Cardinal numbers are known to be definable in set theory with the axiom of choice or with the axiom of foundation. In the absence of these two axioms the notion of a cardinal number is shown to be undefinable in ZF, in several strong senses. The proofs use models of the FraenkelMostowski type
2 editions published in 1967 in English and held by 2 WorldCat member libraries worldwide
Cardinal numbers are known to be definable in set theory with the axiom of choice or with the axiom of foundation. In the absence of these two axioms the notion of a cardinal number is shown to be undefinable in ZF, in several strong senses. The proofs use models of the FraenkelMostowski type
Financial markets, institutions & instruments : the gains from diversification reconsidered: transaction costs and superior
information by
Azriel Lévy(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Multiperiod stochastic dominance with riskless assets by
Haim Levy(
Book
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
Robert L. Vaught papers by
Robert L Vaught(
)
in English and held by 1 WorldCat member library worldwide
Includes mostly correspondence, course notes for specific classes, and undated general notes. Correspondence includes general incoming correspondence (AZ) and specific correspondence from numerous other mathematicians, doctoral students, and advisees (alphabetical arrangement). Course materials for specific courses are organized by class number and date. Much of the orrespondence contains frequent references to mathematical problems and include calculations
in English and held by 1 WorldCat member library worldwide
Includes mostly correspondence, course notes for specific classes, and undated general notes. Correspondence includes general incoming correspondence (AZ) and specific correspondence from numerous other mathematicians, doctoral students, and advisees (alphabetical arrangement). Course materials for specific courses are organized by class number and date. Much of the orrespondence contains frequent references to mathematical problems and include calculations
A hierarchy of fourmulas in set theory by
Azriel Lévy(
Book
)
1 edition published in 1965 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1965 in Italian and held by 1 WorldCat member library worldwide
Trading interval and pricing of foreign exchange options with transactions costs by
Shmuel Hauser(
Book
)
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
1 edition published in 1991 in English and held by 1 WorldCat member library worldwide
Return and risk in public offerings of units including shares and warrants by
Shmuel Hauser(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
Basic research in the foundations of mathematics : research project supported by the National Science Foundation, grants G6693
and G14006 : report for the period July 1, 1959June 30, 1961 by
Haim Gaifman(
Book
)
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
1 edition published in 1962 in English and held by 1 WorldCat member library worldwide
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Balance of payments CaliforniaBerkeley Cardinal numbers College teachers Debts, External Foreign exchange reserves Investment analysis Israel Logic, Symbolic and mathematical Logic, Symbolic and mathematicalStudy and teaching Mathematicians Mathematics MathematicsPhilosophy MathematicsResearch MathematicsStudy and teaching Portfolio management Recursive functions Securities Set theory Tarski, Alfred, Transaction costs Universities and collegesFaculty University of California, Berkeley University of California, Berkeley.Department of Mathematics