Edit Profile (opens in new tab) Kanamori, Akihiro Co-Author Distance Author ID: kanamori.akihiro Published as: Kanamori, Akihiro External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 52 Publications since 1976, including 4 Books 7 Contributions as Editor Co-Authors: 15 Co-Authors with 13 Joint Publications 662 Co-Co-Authors all top 5 Co-Authors 44 single-authored 2 Ebbinghaus, Heinz-Dieter 2 Hajnal, András 2 Magidor, Menachem 2 Shelah, Saharon 2 Zermelo, Ernst 1 Abraham, Uri 1 Awerbuch-Friedlander, Tamara 1 Bartoszynski, Tomek 1 Blass, Andreas Raphael 1 Cummings, James 1 Dehornoy, Patrick 1 Dreben, Burton 1 Eisworth, Todd 1 Floyd, Juliet 1 Foreman, Matthew D. 1 Friedman, Sy-David 1 Gabbay, Dov M. 1 Gitik, Moti 1 Hjorth, Gregory 1 Jackson, Stephen C. 1 Jech, Thomas J. 1 Kechris, Alexander S. 1 Köllner, Peter 1 Larson, Jean A. 1 Larson, Paul B. 1 McAloon, Kenneth 1 Mitchell, William John 1 Neeman, Itay 1 Pacholski, Leszek M. 1 Pincus, David L. 1 Reinhardt, William N. 1 Schimmerling, Ernest 1 Schindler, Ralf-Dieter 1 Solovay, Robert M. 1 Steel, John R. 1 Tauber, Alfred I. 1 Todorcevic, Stevo B. 1 Welch, Philip D. 1 Woodin, W. Hugh 1 Woods, John 1 Zeman, Martin all top 5 Serials 11 The Bulletin of Symbolic Logic 4 Annals of Pure and Applied Logic 3 Annals of Mathematical Logic 3 The Journal of Symbolic Logic 3 Transactions of the American Mathematical Society 2 Annals of the Japan Association for Philosophy of Science 2 Fundamenta Mathematicae 2 Synthese 2 Schriften der Mathematisch-Naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften 2 Springer Monographs in Mathematics 1 Advances in Mathematics 1 Zeitschrift für Mathematische Logik und Grundlagen der Mathematik 1 Topology and its Applications 1 Notices of the American Mathematical Society 1 Archive for Mathematical Logic 1 Mathematical Logic Quarterly (MLQ) 1 Handbook of the History of Logic 1 Studies in Logic (London) 1 Perspectives in Mathematical Logic all top 5 Fields 58 Mathematical logic and foundations (03-XX) 27 History and biography (01-XX) 11 General and overarching topics; collections (00-XX) 2 General topology (54-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 686 times in 608 Documents Cited by ▼ Year ▼ The higher infinite. Large cardinals in set theory from their beginnings. 2nd ed. Zbl 1022.03033 Kanamori, Akihiro 150 2003 Strong axioms of infinity and elementary embeddings. Zbl 0376.02055 Solovay, Robert M.; Reinhardt, William N.; Kanamori, Akihiro 148 1978 The higher infinite: large cardinals in set theory from their beginnings. Zbl 0813.03034 Kanamori, Akihiro 125 1994 The higher infinite. Large cardinals in set theory from their beginnings. Paperback reprint of the 2003 second edition. Zbl 1154.03033 Kanamori, Akihiro 79 2009 The evolution of large cardinal axioms in set theory. Zbl 0381.03038 Kanamori, A.; Magidor, M. 72 1978 Perfect-set forcing for uncountable cardinals. Zbl 0453.03056 Kanamori, Akihiro 38 1980 On Gödel incompleteness and finite combinatorics. Zbl 0627.03041 Kanamori, Akihiro; McAloon, Kenneth 29 1987 Weakly normal filters and irregular ultrafilters. Zbl 0341.02058 Kanamori, A. 15 1976 The mathematical import of Zermelo’s well-ordering theorem. Zbl 0903.03030 Kanamori, Akihiro 14 1997 Ultrafilters over a measurable cardinal. Zbl 0345.02050 Kanamori, A. 13 1976 The mathematical development of set theory from Cantor to Cohen. Zbl 0851.04001 Kanamori, Akihiro 10 1996 Handbook of set theory. In 3 volumes. Zbl 1197.03001 10 2010 Zermelo and set theory. Zbl 1098.03004 Kanamori, Akihiro 10 2004 Levy and set theory. Zbl 1089.03004 Kanamori, Akihiro 9 2006 Collected works. Volume I: Set theory, miscellanea. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band I: Mengenlehre, Varia.) Zbl 1185.01054 Zermelo, Ernst 7 2010 Cohen and set theory. Zbl 1174.03001 Kanamori, Akihiro 7 2008 Hilbert and set theory. Zbl 0933.01015 Dreben, Burton; Kanamori, Akihiro 6 1997 The empty set, the singleton, and the ordered pair. Zbl 1069.03001 Kanamori, Akihiro 6 2003 Finest partitions for ultrafilters. Zbl 0634.03044 Kanamori, Akihiro 5 1986 In praise of replacement. Zbl 1258.03001 Kanamori, Akihiro 4 2012 Bernays and set theory. Zbl 1172.03002 Kanamori, Akihiro 4 2009 Partition relations for successor cardinals. Zbl 0626.03039 Kanamori, Akihiro 3 1986 Regressive partition relations for infinite cardinals. Zbl 0627.03031 Hajnal, András; Kanamori, Akihiro; Shelah, Saharon 3 1987 Morasses in combinatorial set theory. Zbl 0525.03036 Kanamori, Akihiro 3 1983 Sets and extensions in the twentieth century. Zbl 1236.03005 3 2012 Regressive partition relations, \(n\)-subtle cardinals, and Borel diagonalization. Zbl 0745.03038 Kanamori, Akihiro 3 1991 On Vopenka’s and related principles. Zbl 0453.03055 Kanamori, A. 3 1978 Diamonds, large cardinals, and ultrafilters. Zbl 0635.03047 Kanamori, Akihiro 2 1988 Collected works. Volume II: Calculus of variations, applied mathematics, and physics. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band II: Variationsrechnung, Angewandte Mathematik und Physik.) Zbl 1277.01030 Zermelo, Ernst 2 2013 On Silver’s and related principles. Zbl 0495.03033 Kanamori, Akihiro 2 1982 Morass-level combinatorial principles. Zbl 0522.03033 Kanamori, A. 2 1982 Historical remarks on Suslin’s problem. Zbl 1258.03067 Kanamori, Akihiro 2 2011 Some combinatorics involving ultrafilters. Zbl 0402.03044 Kanamori, A. 2 1978 Erdős and set theory. Zbl 1345.03006 Kanamori, Akihiro 2 2014 Mathias and set theory. Zbl 1338.03002 Kanamori, Akihiro 2 2016 Does GCH imply AC locally? Zbl 1030.03041 Kanamori, A.; Pincus, D. 2 2002 Set theory from Cantor to Cohen. Zbl 1255.03006 Kanamori, Akihiro 1 2012 Kunen and set theory. Zbl 1229.03001 Kanamori, Akihiro 1 2011 Gödel and set theory. Zbl 1145.03002 Kanamori, Akihiro 1 2007 Regressive partitions and Borel diagonalization. Zbl 0704.03031 Kanamori, Akihiro 1 1989 2004-05 Winter Meeting of the Association for Symbolic Logic, Atlanta Marriott Marquis, Atlanta, Georgia, January 7–8, 2005. Zbl 1080.03501 1 2005 On p-points over a measurable cardinal. Zbl 0462.03013 Kanamori, A. 1 1981 The mathematical infinite as a matter of method. Zbl 1275.00021 Kanamori, Akihiro 1 2012 Mathematical knowledge: Motley and complexity of proof. Zbl 1287.00013 Kanamori, Akihiro 1 2013 Mathias and set theory. Zbl 1338.03002 Kanamori, Akihiro 2 2016 Erdős and set theory. Zbl 1345.03006 Kanamori, Akihiro 2 2014 Collected works. Volume II: Calculus of variations, applied mathematics, and physics. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band II: Variationsrechnung, Angewandte Mathematik und Physik.) Zbl 1277.01030 Zermelo, Ernst 2 2013 Mathematical knowledge: Motley and complexity of proof. Zbl 1287.00013 Kanamori, Akihiro 1 2013 In praise of replacement. Zbl 1258.03001 Kanamori, Akihiro 4 2012 Sets and extensions in the twentieth century. Zbl 1236.03005 3 2012 Set theory from Cantor to Cohen. Zbl 1255.03006 Kanamori, Akihiro 1 2012 The mathematical infinite as a matter of method. Zbl 1275.00021 Kanamori, Akihiro 1 2012 Historical remarks on Suslin’s problem. Zbl 1258.03067 Kanamori, Akihiro 2 2011 Kunen and set theory. Zbl 1229.03001 Kanamori, Akihiro 1 2011 Handbook of set theory. In 3 volumes. Zbl 1197.03001 10 2010 Collected works. Volume I: Set theory, miscellanea. Edited by Heinz-Dieter Ebbinghaus and Akihiro Kanamori. (Gesammelte Werke. Band I: Mengenlehre, Varia.) Zbl 1185.01054 Zermelo, Ernst 7 2010 The higher infinite. Large cardinals in set theory from their beginnings. Paperback reprint of the 2003 second edition. Zbl 1154.03033 Kanamori, Akihiro 79 2009 Bernays and set theory. Zbl 1172.03002 Kanamori, Akihiro 4 2009 Cohen and set theory. Zbl 1174.03001 Kanamori, Akihiro 7 2008 Gödel and set theory. Zbl 1145.03002 Kanamori, Akihiro 1 2007 Levy and set theory. Zbl 1089.03004 Kanamori, Akihiro 9 2006 2004-05 Winter Meeting of the Association for Symbolic Logic, Atlanta Marriott Marquis, Atlanta, Georgia, January 7–8, 2005. Zbl 1080.03501 1 2005 Zermelo and set theory. Zbl 1098.03004 Kanamori, Akihiro 10 2004 The higher infinite. Large cardinals in set theory from their beginnings. 2nd ed. Zbl 1022.03033 Kanamori, Akihiro 150 2003 The empty set, the singleton, and the ordered pair. Zbl 1069.03001 Kanamori, Akihiro 6 2003 Does GCH imply AC locally? Zbl 1030.03041 Kanamori, A.; Pincus, D. 2 2002 The mathematical import of Zermelo’s well-ordering theorem. Zbl 0903.03030 Kanamori, Akihiro 14 1997 Hilbert and set theory. Zbl 0933.01015 Dreben, Burton; Kanamori, Akihiro 6 1997 The mathematical development of set theory from Cantor to Cohen. Zbl 0851.04001 Kanamori, Akihiro 10 1996 The higher infinite: large cardinals in set theory from their beginnings. Zbl 0813.03034 Kanamori, Akihiro 125 1994 Regressive partition relations, \(n\)-subtle cardinals, and Borel diagonalization. Zbl 0745.03038 Kanamori, Akihiro 3 1991 Regressive partitions and Borel diagonalization. Zbl 0704.03031 Kanamori, Akihiro 1 1989 Diamonds, large cardinals, and ultrafilters. Zbl 0635.03047 Kanamori, Akihiro 2 1988 On Gödel incompleteness and finite combinatorics. Zbl 0627.03041 Kanamori, Akihiro; McAloon, Kenneth 29 1987 Regressive partition relations for infinite cardinals. Zbl 0627.03031 Hajnal, András; Kanamori, Akihiro; Shelah, Saharon 3 1987 Finest partitions for ultrafilters. Zbl 0634.03044 Kanamori, Akihiro 5 1986 Partition relations for successor cardinals. Zbl 0626.03039 Kanamori, Akihiro 3 1986 Morasses in combinatorial set theory. Zbl 0525.03036 Kanamori, Akihiro 3 1983 On Silver’s and related principles. Zbl 0495.03033 Kanamori, Akihiro 2 1982 Morass-level combinatorial principles. Zbl 0522.03033 Kanamori, A. 2 1982 On p-points over a measurable cardinal. Zbl 0462.03013 Kanamori, A. 1 1981 Perfect-set forcing for uncountable cardinals. Zbl 0453.03056 Kanamori, Akihiro 38 1980 Strong axioms of infinity and elementary embeddings. Zbl 0376.02055 Solovay, Robert M.; Reinhardt, William N.; Kanamori, Akihiro 148 1978 The evolution of large cardinal axioms in set theory. Zbl 0381.03038 Kanamori, A.; Magidor, M. 72 1978 On Vopenka’s and related principles. Zbl 0453.03055 Kanamori, A. 3 1978 Some combinatorics involving ultrafilters. Zbl 0402.03044 Kanamori, A. 2 1978 Weakly normal filters and irregular ultrafilters. Zbl 0341.02058 Kanamori, A. 15 1976 Ultrafilters over a measurable cardinal. Zbl 0345.02050 Kanamori, A. 13 1976 all cited Publications top 5 cited Publications all top 5 Cited by 404 Authors 41 Apter, Arthur W. 27 Friedman, Sy-David 26 Shelah, Saharon 15 Bagaria, Joan 15 Kanamori, Akihiro 15 Magidor, Menachem 13 Honzik, Radek 12 Lücke, Philipp Moritz 11 Gitik, Moti 10 Müller, Sandra 10 Usuba, Toshimichi 9 Cody, Brent M. 9 Cummings, James 9 Fischer, Vera 9 Schlicht, Philipp 8 Eskew, Monroe 8 Hayut, Yair 8 Löwe, Benedikt 8 Rinot, Assaf 7 Larson, Paul B. 7 Tall, Franklin D. 7 Welch, Philip D. 6 Aguilera, Juan Pablo 6 Barbanel, Julius B. 6 Brooke-Taylor, Andrew D. 6 Dimonte, Vincenzo 6 Fontanella, Laura 6 Garti, Shimon 6 Gitman, Victoria 6 Schindler, Ralf-Dieter 6 Schrittesser, David 6 Wilson, Trevor Miles 6 Woodin, W. Hugh 5 Brodsky, Ari Meir 5 Cox, Sean D. 5 Džamonja, Mirna 5 Foreman, Matthew D. 5 Hamkins, Joel David 5 Holy, Peter 5 Khomskii, Yurii Daniilovich 5 Lambie-Hanson, Chris 5 Laver, Richard Joseph 5 Meadows, Toby 5 Ternullo, Claudio 5 Weiermann, Andreas 4 Cunningham, Daniel Wendell 4 Dehornoy, Patrick 4 Farah, Ilijas 4 Finkel, Olivier 4 Fuchino, Sakaé 4 Goldberg, Gabriel 4 Kaplan, Itay 4 Lee, Gyesik 4 Poveda, Alejandro 4 Sakai, Hiroshi 4 Sargsyan, Grigor 4 Schimmerling, Ernest 4 Shani, Assaf 4 Todorcevic, Stevo B. 4 Zeman, Martin 3 Abe, Yoshihiro 3 Asperó, David 3 Baldwin, Stewart L. 3 Barton, Neil 3 Becker, Howard S. 3 Bergfalk, Jeffrey 3 Boney, Will 3 Carl, Merlin 3 Carroy, Raphaël 3 Corazza, Paul 3 Cutolo, Raffaella 3 Di Prisco, Carlos Augusto 3 Dobrinen, Natasha L. 3 Fuchs, Gunter 3 Hathaway, Dan 3 Ikegami, Daisuke 3 Kojman, Menachem 3 Köllner, Peter 3 Kunen, Kenneth 3 Laguzzi, Giorgio 3 Lipparini, Paolo 3 Lopez-Abad, Jordi 3 Maddy, Penelope J. 3 Matet, Pierre 3 Mathias, Adrian R. D. 3 Matsubara, Yo 3 Medini, Andrea 3 Montoya, Diana Carolina 3 Moore, Justin Tatch 3 Motto Ros, Luca 3 Ostaszewski, Adam J. 3 Raghavan, Dilip 3 Rathjen, Michael 3 Rodrigues, André Ottenbreit Maschio 3 Rosłanowski, Andrzej 3 Shioya, Masahiro 3 Sinapova, Dima 3 Spector, Mitchell 3 Törnquist, Asger 3 Trang, Nam ...and 304 more Authors all top 5 Cited in 81 Serials 89 The Journal of Symbolic Logic 79 Annals of Pure and Applied Logic 59 Archive for Mathematical Logic 33 Israel Journal of Mathematics 31 Mathematical Logic Quarterly (MLQ) 27 Proceedings of the American Mathematical Society 25 Journal of Mathematical Logic 23 The Bulletin of Symbolic Logic 22 Transactions of the American Mathematical Society 20 Fundamenta Mathematicae 15 Notre Dame Journal of Formal Logic 15 Topology and its Applications 15 The Review of Symbolic Logic 12 Advances in Mathematics 6 Journal of Combinatorial Theory. Series A 6 Synthese 4 Journal of the Mathematical Society of Japan 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 Acta Mathematica Hungarica 3 History and Philosophy of Logic 3 Order 3 Forum of Mathematics, Sigma 3 Bollettino dell’Unione Matematica Italiana 2 Archiv für Mathematische Logik und Grundlagenforschung 2 Rocky Mountain Journal of Mathematics 2 Journal of Philosophical Logic 2 Tsukuba Journal of Mathematics 2 Journal of the American Mathematical Society 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Mathematical Sciences (New York) 2 Annals of Mathematics. Second Series 2 Logica Universalis 2 Logical Methods in Computer Science 2 RAIRO. Theoretical Informatics and Applications 2 Forum of Mathematics, Pi 2 European Journal of Mathematics 1 Archive for History of Exact Sciences 1 Communications in Algebra 1 Discrete Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Periodica Mathematica Hungarica 1 Russian Mathematical Surveys 1 Acta Mathematica 1 Algebra and Logic 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Approximation Theory 1 Mathematische Annalen 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Real Analysis Exchange 1 Siberian Mathematical Journal 1 Studia Logica 1 European Journal of Combinatorics 1 Combinatorica 1 Information and Computation 1 Differential Geometry and its Applications 1 International Journal of Foundations of Computer Science 1 Historia Mathematica 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Logic, Language and Information 1 Combinatorics, Probability and Computing 1 Turkish Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Erkenntnis 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Miscelánea Matemática 1 Logic and Logical Philosophy 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Central European Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 SIAM Journal on Financial Mathematics 1 Journal of Logic and Analysis 1 Axiomathes 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of the American Mathematical Society. Series B all top 5 Cited in 29 Fields 575 Mathematical logic and foundations (03-XX) 43 General topology (54-XX) 30 Combinatorics (05-XX) 29 History and biography (01-XX) 19 General and overarching topics; collections (00-XX) 17 Group theory and generalizations (20-XX) 16 Category theory; homological algebra (18-XX) 13 Functional analysis (46-XX) 13 Computer science (68-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 9 Measure and integration (28-XX) 7 General algebraic systems (08-XX) 6 Algebraic topology (55-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Associative rings and algebras (16-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.