Kanamori, Akihiro
Overview
Works:  35 works in 170 publications in 4 languages and 2,610 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
)
52 editions published between 1994 and 2011 in 3 languages and held by 553 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
52 editions published between 1994 and 2011 in 3 languages and held by 553 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 213 WorldCat member libraries worldwide
In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. 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
in English and held by 213 WorldCat member libraries worldwide
In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. 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
Handbook of set theory by
M Foreman(
Book
)
17 editions published between 2008 and 2010 in English and held by 88 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
17 editions published between 2008 and 2010 in English and held by 88 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
)
15 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
15 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 23 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 23 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
Analytic philosophy & logic by World Congress of Philosophy(
Book
)
3 editions published in 2000 in English and held by 15 WorldCat member libraries worldwide
3 editions published in 2000 in English and held by 15 WorldCat member libraries worldwide
The proceedings of the Twentieth World Congress of Philosophy by
World Congress of Philosophy(
Book
)
8 editions published between 1999 and 2007 in English and held by 13 WorldCat member libraries worldwide
8 editions published between 1999 and 2007 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
Ernst Zermelo  Collected Works/Gesammelte Werke Volume I  Set Theory, Miscellanea / Band I  Mengenlehre, Varia by
Ernst Zermelo(
)
9 editions published in 2010 in English and Multiple languages and held by 12 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
9 editions published in 2010 in English and Multiple languages and held by 12 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
Sets and extensions in the Twentieth Century by
Dov M Gabbay(
Book
)
7 editions published between 2011 and 2012 in English and held by 11 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
7 editions published between 2011 and 2012 in English and held by 11 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
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 5 WorldCat member libraries worldwide
4 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide
The proceedings of the Twentieth World Congress of Philosophy : [a twelve volumes series] by World Congress of Philosopy(
Book
)
2 editions published in 2000 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 4 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 4 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 4 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 II Volume II/Band II  Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung,
Angewandte Mathematik und Physik by
Ernst Zermelo(
Book
)
6 editions published between 2013 and 2015 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
6 editions published between 2013 and 2015 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 by
Ernst Zermelo(
Book
)
3 editions published in 2013 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
3 editions published in 2013 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
)
5 editions published in 2013 in English and German 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.  [Source inconnue]
5 editions published in 2013 in English and German 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.  [Source inconnue]
Encyclopaedia of mathematics. Supplement III by
Shreeram Shankar Abhyankar(
)
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
1 edition published in 2002 in English and held by 0 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
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
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Related Identities
 Ebbinghaus, HeinzDieter 1939 Other Editor
 Zermelo, Ernst 18711953 Author
 Foreman, M. (Matthew) 1957 Author Editor
 Gabbay, Dov M. 1945 Author Editor
 Woods, John (John Hayden) Editor
 Fraser, Craig G. Editor
 Duval, A.
 Kung, J. P. S.
 Jungnickel, D.
 Lepowsky, J.
Useful Links
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,
Alternative Names
Akihiro Kanamori.
Akihiro Kanamori Amerikaans wiskundige
Akihiro Kanamori japanischer Mathematiker
Akihiro Kanamori Mathematician
Kanamori, A
가나모리 아키히로
カナモリ, A
金森, 晶洋
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