Kanamori, Akihiro
Overview
Works:  34 works in 162 publications in 3 languages and 2,410 library holdings 

Genres:  History Conference papers and proceedings Records and correspondence 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
)
53 editions published between 1994 and 2011 in 3 languages and held by 547 WorldCat member libraries worldwide
After describing the beginnings of the subject  the theory of large cardinals  a comprehensive account is given of the work in the 1960s on partition properties, forcing and sets of reals, and aspects of measurability (including saturated ideals and inner models of measurability). Then discussed are the strong hypotheses like supercompactness up to Kunen's inconsistency. The last sections describe the investigation of determinacy from its beginnings up to a survey of the recent consistency results of Woodin. The material is presented in the context of its historical development and leads to the frontiers of contemporary research. It will serve as a reference and guide to graduate students and researchers in set theory and settheoretic topology
53 editions published between 1994 and 2011 in 3 languages and held by 547 WorldCat member libraries worldwide
After describing the beginnings of the subject  the theory of large cardinals  a comprehensive account is given of the work in the 1960s on partition properties, forcing and sets of reals, and aspects of measurability (including saturated ideals and inner models of measurability). Then discussed are the strong hypotheses like supercompactness up to Kunen's inconsistency. The last sections describe the investigation of determinacy from its beginnings up to a survey of the recent consistency results of Woodin. The material is presented in the context of its historical development and leads to the frontiers of contemporary research. It will serve as a reference and guide to graduate students and researchers in set theory and settheoretic topology
Handbook of the history of logic(
Book
)
in English and held by 208 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 208 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 set theory by
M Foreman(
Book
)
16 editions published between 2008 and 2010 in English and held by 71 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
16 editions published between 2008 and 2010 in English and held by 71 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(
Book
)
16 editions published between 2010 and 2013 in English and held by 50 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
16 editions published between 2010 and 2013 in English and held by 50 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
Handbook of the history of logic(
Book
)
10 editions published in 2012 in English and held by 21 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
10 editions published in 2012 in English and held by 21 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
The proceedings of the Twentieth World Congress of Philosophy by
1998, Boston, Mass.) World Congress of Philosophy (20(
Book
)
8 editions published between 1999 and 2007 in English and held by 16 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
8 editions published between 1999 and 2007 in English and held by 16 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
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
Handbook of Set Theory by
M Foreman(
)
1 edition published in 2010 in English and held by 13 WorldCat member libraries worldwide
1 edition published in 2010 in English and held by 13 WorldCat member libraries worldwide
Calculus of variations, applied mathematics, and physics = Variationsrechnung, Angewandte Mathematik und Physik by
Ernst Zermelo(
Book
)
2 editions published in 2013 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 2013 in English and held by 13 WorldCat member libraries worldwide
Sets and extensions in the Twentieth Century by
Dov M Gabbay(
Book
)
8 editions published between 2011 and 2012 in English and held by 10 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 ar
8 editions published between 2011 and 2012 in English and held by 10 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 ar
Ernst Zermelo  Collected Works/Gesammelte Werke Volume I  Set Theory, Miscellanea / Band I  Mengenlehre, Varia by
Ernst Zermelo(
)
5 editions published in 2010 in English and held by 8 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. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in 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 which comments on the historical background, motivations, accomplishments, and influence
5 editions published in 2010 in English and held by 8 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. However, his papers include also pioneering work in applied mathematics and mathematical physics. This edition of his collected papers will consist of two volumes. Besides providing a biography, the present Volume I covers set theory, the foundations of mathematics, and pure mathematics and is supplemented by selected items from his Nachlass and part of his translations of Homer's Odyssey. Volume II will contain his work in 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 which comments on the historical background, motivations, accomplishments, and influence
Set theory, miscellanea = Mengenlehre, Varia by
Ernst Zermelo(
Book
)
2 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
2 editions published in 2010 in English and held by 6 WorldCat member libraries worldwide
A symposium on David Hilbert(
Book
)
4 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 4 WorldCat member libraries worldwide
Proof and progress in mathematics(
)
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1997 in English and held by 3 WorldCat member libraries worldwide
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(
)
1 edition published in 2013 in English and held by 3 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
1 edition published in 2013 in English and held by 3 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
Collected works Gesammelte Werke by
Ernst Zermelo(
Book
)
in English and held by 3 WorldCat member libraries worldwide
in English and held by 3 WorldCat member libraries worldwide
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(
Book
)
5 editions published between 2013 and 2015 in English and held by 2 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
5 editions published between 2013 and 2015 in English and held by 2 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 by
Ernst Zermelo(
Book
)
4 editions published in 2013 in English and held by 1 WorldCat member library 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.  [Source inconnue]
4 editions published in 2013 in English and held by 1 WorldCat member library 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.  [Source inconnue]
Handbook Set Theory into the 21st Century by
Akihiro Kanamori(
Book
)
3 editions published between 2006 and 2009 in English and held by 0 WorldCat member libraries worldwide
Annotation
3 editions published between 2006 and 2009 in English and held by 0 WorldCat member libraries worldwide
Annotation
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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
 Fraser, Craig G. Editor
 Ebbinhaus, HeinzDieter
 Pellegrin, Enzo de Translator
 Graser, Craig G.
 SpringerLink (Service en ligne)
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Associated Subjects
Analysis (Philosophy) Calculus of variations Computer science Engineering mathematics Hilbert, David, History Large cardinals (Mathematics) Logic Logic, Symbolic and mathematical Manyvalued logic Mathematical physics Mathematics MathematicsPhilosophy Nonmonotonic reasoning Philosophy Physics Science SciencePhilosophy Set theory Topology Zermelo, Ernst,