Kanamori, Akihiro
Overview
Works:  41 works in 146 publications in 2 languages and 2,238 library holdings 

Genres:  History Records and correspondence Conference proceedings Biography 
Roles:  Author, Editor 
Classifications:  QA248, 511.322 
Publication Timeline
.
Most widely held works by
Akihiro Kanamori
The higher infinite : large cardinals in set theory from their beginnings by
Akihiro Kanamori(
Book
)
46 editions published between 1994 and 2009 in English and German and held by 550 WorldCat member libraries worldwide
This is the softcover reprint of the very popular hardcover edition. The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multivolume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research. A ""genetic"" approach is taken, presenting the subject in the context of
46 editions published between 1994 and 2009 in English and German and held by 550 WorldCat member libraries worldwide
This is the softcover reprint of the very popular hardcover edition. The theory of large cardinals is currently a broad mainstream of modern set theory, the main area of investigation for the analysis of the relative consistency of mathematical propositions and possible new axioms for mathematics. The first of a projected multivolume series, this book provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research. A ""genetic"" approach is taken, presenting the subject in the context of
Handbook of set theory by
M Foreman(
)
15 editions published between 2008 and 2010 in English and held by 446 WorldCat member libraries worldwide
This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, selfcontained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and farreaching field with its own selffueling initiatives
15 editions published between 2008 and 2010 in English and held by 446 WorldCat member libraries worldwide
This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, selfcontained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and farreaching field with its own selffueling initiatives
Collected works. Gesammelte Werke by
Ernst Zermelo(
)
11 editions published between 2010 and 2013 in English and held by 362 WorldCat member libraries worldwide
Presents collected papers of the founder of axiomatic set theory, Ernst Zermelo, including his works on the calculus of variations, applied mathematics, and physics
11 editions published between 2010 and 2013 in English and held by 362 WorldCat member libraries worldwide
Presents collected papers of the founder of axiomatic set theory, Ernst Zermelo, including his works on the calculus of variations, applied mathematics, and physics
Ernst Zermelo. Collected Works = Gesammelte Werke by
Ernst Zermelo(
)
2 editions published in 2013 in English and held by 280 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
2 editions published in 2013 in English and held by 280 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
Handbook of the history of logic(
Book
)
in English and held by 214 WorldCat member libraries worldwide
The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, nonmonotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world.
in English and held by 214 WorldCat member libraries worldwide
The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, nonmonotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality. Logic is an indispensably important pivot of the Western intellectual tradition. But, as the chapters on Indian and Arabic logic make clear, logic's parentage extends more widely than any direct line from the Greek city states. It is hardly surprising, therefore, that for centuries logic has been an unfetteredly international enterprise, whose research programmes reach to every corner of the learned world.
Handbook of the history of logic(
)
8 editions published in 2012 in English and held by 180 WorldCat member libraries worldwide
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th centuryContains the latest scholarly discoveries and interpretative insights
8 editions published in 2012 in English and held by 180 WorldCat member libraries worldwide
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th centuryContains the latest scholarly discoveries and interpretative insights
Sets and extensions in the twentieth century by
Dov M Gabbay(
)
7 editions published between 2011 and 2012 in English and held by 38 WorldCat member libraries worldwide
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th centuryContains the latest scholarly discoveries and interpretative insights
7 editions published between 2011 and 2012 in English and held by 38 WorldCat member libraries worldwide
Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th centuryContains the latest scholarly discoveries and interpretative insights
Ernst Zermelo  Collected Works/Gesammelte Werke II Volume II/Band II  Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung,
Angewandte Mathematik und Physik by
Ernst Zermelo(
)
4 editions published in 2013 in English and held by 33 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
4 editions published in 2013 in English and held by 33 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and is bestknown for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo's work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence
Ernst Zermelo  Collected Works/Gesammelte Werke Volume I  Set Theory, Miscellanea / Band I  Mengenlehre, Varia by
Ernst Zermelo(
)
4 editions published in 2010 in English and held by 30 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and bestknown for the first formulation of the axiom of choice. This book presents a biography of Zermelo, and also covers set theory, the foundations of mathematics, and pure mathematics
4 editions published in 2010 in English and held by 30 WorldCat member libraries worldwide
Ernst Zermelo (18711953) is regarded as the founder of axiomatic set theory and bestknown for the first formulation of the axiom of choice. This book presents a biography of Zermelo, and also covers set theory, the foundations of mathematics, and pure mathematics
Analytic philosophy & logic by World Congress of Philosophy(
Book
)
3 editions published in 2000 in English and held by 14 WorldCat member libraries worldwide
3 editions published in 2000 in English and held by 14 WorldCat member libraries worldwide
Collected works Gesammelte werke. Band I, Mengenlehre, varia by
Ernst Zermelo(
)
3 editions published in 2010 in English and held by 13 WorldCat member libraries worldwide
3 editions published in 2010 in English and held by 13 WorldCat member libraries worldwide
A symposium on David Hilbert(
Book
)
4 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 7 WorldCat member libraries worldwide
Calculus of variations, applied mathematics, and physics = Variationsrechnung, Angewandte Mathematik und Physik by
Ernst Zermelo(
Book
)
2 editions published between 2012 and 2013 in English and held by 7 WorldCat member libraries worldwide
2 editions published between 2012 and 2013 in English and held by 7 WorldCat member libraries worldwide
Ernst Zermelo  collected works/gesammelte werke by
Ernst Zermelo(
)
1 edition published in 2013 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 6 WorldCat member libraries worldwide
The proceedings of the Twentieth World Congress of Philosophy by
World Congress of Philosophy(
Book
)
1 edition published in 2000 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 2000 in English and held by 5 WorldCat member libraries worldwide
Collected works = Gesammelte Werke by
Ernst Zermelo(
)
in English and held by 5 WorldCat member libraries worldwide
in English and held by 5 WorldCat member libraries worldwide
Set theory, miscellanea = Mengenlehre, Varia by
Ernst Zermelo(
Book
)
2 editions published in 2010 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 2010 in English and held by 5 WorldCat member libraries worldwide
The proceedings of the Twentieth World Congress of Philosophy by
Alan M Olson(
Book
)
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
is held every five years under the auspices of the International Federation of Philosophical Societies. The Proceedings of the Twentieth World Congress of Philosophy contain approximately 270 invited and selected papers from this event in twelve thematically organized volumes. The set provides summary statements of the international status of the major fields in philosophy at the turn of the century
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
is held every five years under the auspices of the International Federation of Philosophical Societies. The Proceedings of the Twentieth World Congress of Philosophy contain approximately 270 invited and selected papers from this event in twelve thematically organized volumes. The set provides summary statements of the international status of the major fields in philosophy at the turn of the century
The proceedings of the Twentieth World Congress of Philosophy(
Book
)
2 editions published between 2000 and 2007 in English and held by 4 WorldCat member libraries worldwide
2 editions published between 2000 and 2007 in English and held by 4 WorldCat member libraries worldwide
Proof and progress in mathematics(
Book
)
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide
more
fewer
Audience Level
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Related Identities
 Zermelo, Ernst 18711953 Author
 Ebbinghaus, HeinzDieter 1939 Editor
 Foreman, M. (Matthew) 1957 Author Editor
 Gabbay, Dov M. 1945 Author Editor
 Woods, John (John Hayden) Editor
 ScienceDirect (Online service)
 Fraser, Craig G. Editor
 Ebbinghaus, HeinzDieter Other Editor
 De Pellegrin, Enzo Translator
 Kramer, David P.
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