Akihiro Kanamori | Academic Influence

Akihiro Kanamori's AcademicInfluence.com Rankings

Akihiro Kanamori

Mathematics

#936

World Rank

#1632

Historical Rank

#409

USA Rank

Set Theory

#6

World Rank

#13

Historical Rank

#4

USA Rank

Measure Theory

#1323

World Rank

#1667

Historical Rank

#469

USA Rank

mathematics Degrees

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Mathematics

Akihiro Kanamori's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Akihiro Kanamori Influential?

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According to Wikipedia, is a Japanese-born American mathematician. He specializes in set theory and is the author of the monograph on large cardinals, The Higher Infinite. He has written several essays on the history of mathematics, especially set theory.

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Akihiro Kanamori's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Higher Infinite (1994) (776)
The higher infinite : large cardinals in set theory from their beginnings (2005) (483)
Handbook of the history of logic (2004) (320)
Strong axioms of infinity and elementary embeddings (1978) (272)
The evolution of large cardinal axioms in set theory (1978) (203)
Handbook of Set Theory (2010) (196)
The Mathematical Development of Set Theory from Cantor to Cohen (1996) (72)
Set Theory from Cantor to Cohen (2012) (68)
Encyclopaedia of Mathematics, Supplement III (2002) (59)
On Gödel incompleteness and finite combinatorics (1987) (59)
Zermelo and set theory (2004) (52)
The empty set, the singleton, and the ordered pair (2003) (44)
Weakly normal filters and irregular ultrafilters (1976) (43)
Cohen and Set Theory (2008) (39)
University of Illinois at Urbana-Champaign, June 3–7, 2000 (2000) (28)
The Mathematical Import of Zermelo's Well-Ordering Theorem (1997) (28)
Ultrafilters over a measurable cardinal (1976) (28)
Sets and Extensions in the Twentieth Century (2012) (22)
Perfect-set forcing for uncountable cardinals (1980) (18)
Gödel and Set Theory (2007) (17)
The Emergence of Descriptive Set Theory (1995) (17)
In Praise of Replacement (2012) (17)
Levy and set theory (2006) (14)
Large Cardinals with Forcing (2012) (13)
Regressive partition relations for infinite cardinals (1987) (12)
Finest partitions for ultrafilters (1986) (12)
MORASSES IN COMBINATORIAL SET THEORY (1983) (10)
Partition Relations for Successor Cardinals (1986) (10)
Separating ultrafilters on uncountable cardinals (1984) (9)
HILBERT AND SET THEORY (2004) (8)
Bernays and Set Theory (2009) (8)
Some combinatorics involving ultrafilters (1978) (8)
On Silver's and Related Principles (1982) (7)
Saharon Shelah. Cardinal arithmetic . Oxford logic guides, no. 29. Clarendon Press, Oxford University Press, Oxford and New York 1994, xxxi + 481 pp. (1997) (7)
Mathematical Knowledge : Motley and Complexity of Proof (2013) (6)
Morass-Level Combinatorial Principles (1982) (6)
Cantor and Continuity (2019) (5)
Regressive partitions and Borel diagonalization (1989) (5)
Set Theory, Arithmetic, and Foundations of Mathematics: Historical remarks on Suslin's problem (2011) (4)
Regressive Partition Relations, n-Subtle Cardinals, and Borel Diagonalization (1991) (4)
On P-points over a measurable cardinal (1981) (4)
The Mathematical Infinite as a Matter of Method( Infinity in Philosophy and Mathematics) (2012) (3)
On Vopěnka's and Related Principles* (1978) (3)
The Infinite as Method in Set Theory and Mathematics (2009) (3)
ERDŐS AND SET THEORY (2014) (3)
Mathias and set theory (2016) (3)
Gödel vis-à-vis Russell: Logic and set Theory to Philosophy (2016) (3)
Filters for Square-Bracket Partition Relations (1984) (2)
Complete quotient Boolean algebras (1994) (1)
Review: Jon Barwise, H. J. Keisler, K. Kunen, Y. N. Moschovakis, A. S. Troelstra, Handbook of Mathematical Logic; J. R. Shoenfield, B.1. Axioms of Set Theory (1984) (1)
Tennenbaum and Set Theory (2007) (1)
Kunen and set theory (2011) (1)
Review: Jose Ferreiros, Labyrinth of Thought. A History of Set Theory and Its Role in Modern Mathematics (2001) (1)
Putnam’s Constructivization Argument (2018) (1)
Set theory, miscellanea (2010) (1)
Introductory note to 1930a (2014) (1)
Negative partition relations for ultrafilters on uncountable cardinals (1984) (1)
Ernst Zermelo - Collected Works/Gesammelte Werke II: Volume II/Band II - Calculus of Variations, Applied Mathematics, and Physics/Variationsrechnung, ... Wissenschaften (2013) (1)
Aspect-Perception and the History of Mathematics (2018) (1)
Laver and set theory (2016) (0)
Introduction (2004) (0)
Calculus of Variations, Applied Mathematics, and Physics (2013) (0)
Ja n 19 94 Complete Quotient Boolean Algebras (1994) (0)
Analytic philosophy & logic (2000) (0)
Preface (2005) (0)
Forcing and Sets of Reals (1997) (0)
REVIEWS-Moti Gitik's recent papers on the Singular Cardinals Problem (2003) (0)
Preface (2004) (0)
REVIEWS-Labyrinth of thought (2001) (0)
Laver and set theory (2016) (0)
JSL volume 50 issue 4 Cover and Back matter and Errata (1985) (0)
Errata to “Cohen and Set Theory” [1] (2008) (0)
AKIHIRO KANAMORI the motif as fully participating in Zermelo ' s work on the Well-Ordering (2007) (0)
Introductory note to s1930e (2014) (0)
1997–1998 Winter Meeting of the Association for Symbolic Logic (1998) (0)
The compleat 0† (1990) (0)
Bostonia: 1993-1994, no. 2-3 (1993) (0)
2004–05 Winter Meeting of the Association for Symbolic Logic (2005) (0)
Review: A. J. Dodd, The core model (1983) (0)
Atlanta Marriott Marquis, Atlanta, Georgia January 7–8, 2005 (2005) (0)
PREFACE Akihiro Kanamori (0)
Aspects of Measurability (1997) (0)
Akihiro Kanamori Putnam ’ s Constructivization Argument (2014) (0)
Introductory note to s1930d (2014) (0)

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What Are Akihiro Kanamori's Academic Contributions?

Akihiro Kanamori is most known for their academic work in the field of mathematics. They are also known for their academic work in the fields of

Akihiro Kanamori has made the following academic contributions:

The Higher Infinite

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