WorldCat Identities

Kleene, Stephen Cole 1909-1994

Overview
Works: 66 works in 401 publications in 9 languages and 4,662 library holdings
Genres: Conference papers and proceedings  Records and correspondence 
Roles: Author, Editor, Honoree, Other
Classifications: QA9, 511.3
Publication Timeline
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Most widely held works by Stephen Cole Kleene
Introduction to metamathematics by Stephen Cole Kleene( Book )

125 editions published between 1950 and 2012 in 4 languages and held by 1,347 WorldCat member libraries worldwide

Mathematical logic by Stephen Cole Kleene( Book )

70 editions published between 1961 and 2013 in 6 languages and held by 1,202 WorldCat member libraries worldwide

Undergraduate students with no prior classroom instruction in mathematical logic will benefit from this evenhanded multipart text. It begins with an elementary but thorough overview of mathematical logic of first order. The treatment extends beyond a single method of formulating logic to offer instruction in a variety of techniques: model theory (truth tables), Hilbert-type proof theory, and proof theory handled through derived rules. The second part supplements the previously discussed material and introduces some of the newer ideas and the more profound results of twentieth-century logical research. Subsequent chapters explore the study of formal number theory, with surveys of the famous incompleteness and undecidability results of Godel, Church, Turing, and others. The emphasis in the final chapter reverts to logic, with examinations of Godel's completeness theorem, Gentzen's theorem, Skolem's paradox and nonstandard models of arithmetic, and other theorems. The author, Stephen Cole Kleene, was Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison. Preface. Bibliography. Theorem and Lemma Numbers: Pages. List of Postulates. Symbols and Notations. Index
The foundations of intuitionistic mathematics, especially in relation to recursive functions by Stephen Cole Kleene( Book )

24 editions published between 1965 and 2000 in English and Undetermined and held by 558 WorldCat member libraries worldwide

Provability, Computability and Reflection
The Kleene Symposium : proceedings of the symposium held June 18-24, 1978 at Madison, Wisconsin, U.S.A. by Kleene Symposium( Book )

15 editions published in 1980 in English and held by 284 WorldCat member libraries worldwide

Formalized recursive functionals and formalized realizability by Stephen Cole Kleene( Book )

12 editions published in 1969 in English and Italian and held by 216 WorldCat member libraries worldwide

Two papers on the predicate calculus by Stephen Cole Kleene( Book )

38 editions published between 1951 and 1985 in English and Undetermined and held by 192 WorldCat member libraries worldwide

Introducción a la metamatemática by Stephen Cole Kleene( Book )

3 editions published in 1974 in Spanish and held by 33 WorldCat member libraries worldwide

On undecidable propositions of formal mathematical systems by Kurt Gödel( Book )

3 editions published in 1934 in English and held by 25 WorldCat member libraries worldwide

Sets, logic, and mathematical foundations : a summer institute for teachers of secondary and college mathematics sponsored by the National Science Foundation by Stephen Cole Kleene( Book )

5 editions published between 1956 and 1963 in English and held by 24 WorldCat member libraries worldwide

Sets, logic, and mathematical foundations: by Stephen Cole Kleene( Book )

7 editions published between 1856 and 1991 in English and held by 19 WorldCat member libraries worldwide

Logic and foundations of mathematics by A Heyting( Book )

2 editions published in 1968 in English and held by 18 WorldCat member libraries worldwide

Vvedenie v metamatematiku by Stephen Cole Kleene( Book )

8 editions published in 1957 in Russian and Undetermined and held by 14 WorldCat member libraries worldwide

A theory of positive integers in formal logic by Stephen Cole Kleene( Book )

8 editions published between 1933 and 1935 in English and held by 14 WorldCat member libraries worldwide

Collected works by Kurt Gödel( Book )

in German and held by 9 WorldCat member libraries worldwide

Permutability of inferences in Gentzen's calculi LK and LJ. by Stephen Cole Kleene( Book )

4 editions published between 1951 and 1971 in English and held by 8 WorldCat member libraries worldwide

Collected works by Kurt Gödel( Book )

4 editions published in 2003 in English and Multiple languages and held by 8 WorldCat member libraries worldwide

The voice of America : forum lectures( Book )

3 editions published in 1964 in English and held by 6 WorldCat member libraries worldwide

Two Papers on the predicate calculus by Stephen Cole Kleene( Book )

3 editions published between 1952 and 1972 in Undetermined and English and held by 2 WorldCat member libraries worldwide

Formalized recursive functionals and formalized realizability by Stephen Cole Kleene( Book )

2 editions published in 1969 in English and held by 1 WorldCat member library worldwide

Collected works by Kurt Gödel( )

1 edition published in 1986 in English and held by 0 WorldCat member libraries worldwide

Annotation Kurt Godel (1906-1978) was the most outstanding logician of the twentieth century, noted for Godel's theorem, a hallmark of modern mathematics. The Collected Works will include both published and unpublished writings, in three or more volumes. The first two volumes will consist essentiallyof Godel's published works (both in the original and translation), and the third volume will feature unpublished articles, lectures, and selections from his lecture courses, correspondence, and scientific notebooks. All volumes will contain extensive introductory notes to the work as a whole and toindividual articles and other material, commenting upon their contents and placing them within a historical framework. This long-awaited project is of great significance to logicians, mathematicians, philosophers and historians
 
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Audience level: 0.57 (from 0.07 for Collected ... to 0.95 for The voice ...)

Introduction to metamathematics
Alternative Names
Cole Kleene, Stephen 1909-1994

Kleene, S. C.

Kleene, S. C. 1909-1994

Kleene, S. C. (Stephen Cole), 1909-1994

Kleene, Stephen 1909-1994

Kleene, Stephen C.

Kleene, Stephen C. 1909-1994

Klini, C. K. 1909-1994

Klini, S.

Klini, S. K.

Klini, S. K. 1909-1994

Klini, Stefen K.

Klini, Stefen K. 1909-1994

S. C. Cole.

Stephen Cole Kleene Amerikaans wiskundige

Stephen Cole Kleene amerikansk datavetare och matematiker

Stephen Cole Kleene amerikansk informatikar og matematikar

Stephen Cole Kleene amerikansk informatiker og matematiker

Stephen Cole Kleene mathématicien américain

Stephen Cole Kleene US-amerikanischer Mathematiker und Logiker

Stephen Kleene

Stephen Kleene matematico statunitense

Στίβεν Κλέινι

Клини, Стефен К..

Клини, Стефен К 1909-

Клини, Стефен К. (Стефен Коул), 1909-

Клини, Стивен Коул математик и логик США

Стівен Коул Кліні

Ստիվեն Կոուլ Կլինի

استیفن کول کلین ریاضی‌دان و دانشمند علوم کامپیوتر آمریکایی

스티븐 클레이니

クリーネ

スティーヴン・コール・クリーネ

史蒂芬·科爾·克萊尼

斯蒂芬·科尔·克莱尼

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Mathematical logicCollected worksCollected worksCollected works