Akihiro Kanamori
Akihiro Kanamori
Department of Mathematics
Boston University
111 Cummington Mall
Boston, Massachusetts 02215, USA
Phone: (617) 353-9538
FAX: (617) 353-8100
Email: aki@math.bu.edu
Office: MCS 268
A shorter curriculum vitae
Books
- The Higher Infinite, 536pp, Springer, Berlin, November 1994. Introduction
- Corrected second printing, May 1997
- Japanese translation, November 1998
- Second edition, April 2003
- Corrected second printing of second edition, March 2005
- Softcover edition, December 2008
- New reprinting, Springer--Beijing World Publishing, 2012
- ISBN 978-3-540-88866-6 e-ISBN 978-3-540-88867-3
- (editor) Analytic Philosophy and Logic, The Proceedings of the Twentieth
World Congress of Philosophy, Volume 6, 303pp, Philosophy Documentation Center,
Bowling Green, 2000. Introduction
- (set theory editor) International Directory of Logicians: Who's Who
in Logic, with managing editors Dov M. Gabbay and John H. Woods, College
Publications, 2009.
- (editor with Matthew Foreman), Handbook of Set Theory, 2197pp
in three volumes, Springer, Berlin, 2010. ISBN 978-1-4020-4843 e-ISBN
978-4020-5764-9 Introduction
- (editor with Heinz-Dieter Ebbinghaus) Collected Works of Ernst
Zermelo, Volume I, 654pp, Springer, Berlin, 2010.
- (editor) Sets and Extensions in the Twentieth Century, 865pp, with managing
editors Dov M. Gabbay and John H. Woods, Cambridge University Press, Cambridge, 2012. Preface
- (editor with Heinz-Dieter Ebbinghaus) Collected Works of Ernst
Zermelo, Volume II, 781pp, Springer, Berlin, 2013.
Publications before 1995
- The siege of Chitral as an imperial factor,
Journal of Indian History 46(3)(1968), 387-404.
- Weakly normal filters and irregular ultrafilters,
Transactions of the American Mathematical Society 220(1976), 393-399.
- Ultrafilters over a measurable cardinal,
Annals of Mathematical Logic 11(1976), 315-356.
- Some combinatorics involving ultrafilters,
Fundamenta Mathematicae 100(1978), 145-155.
- Strong axioms of infinity and elementary embeddings,
with William N. Reinhardt and Robert M. Solovay, Annals of Mathematical
Logic 13(1978), 73-116.
- The evolution of large cardinal axioms in set
theory, with Menachem Magidor, in: Gert H. Müller and Dana S. Scott,
editors, Higher Set Theory (Proceedings, Oberwolfach, Germany 1977), Lecture
Notes in Mathematics 669, 99-275. Springer-Verlag, Berlin, 1978.
- On Vopenka's and related principles, in: Angus
MacIntyre, Leszek Pacholski, and Jeffrey Paris, editors, Logic Colloquium '77,
145-153. North-Holland, Amsterdam, 1978.
- On p-points over a measurable cardinal, The Journal
of Symbolic Logic 46(1981), 59-65.
- Perfect-set forcing for uncountable cardinals,
Annals of Mathematical Logic 19(1980), 97-114.
- Morass-level combinatorial principles, in: George
Metakides, editor, Patras Logic Symposion, 339-358. North-Holland,
Amsterdam, 1982.
- On Silver's and related principles, in: Dirk van Dalen,
Daniel Lascar, and Timothy Smiley, editors, Logic Colloquium
'80, 153-172. North-Holland, Amsterdam, 1982.
- Morasses in combinatorial set theory, in:
A.R.D. Mathias, editor, Surveys in Set Theory, 167-196. Cambridge
University Press, Cambridge, 1983.
- Filters for square-bracket partition relations,
with James M. Henle and Eugene M. Kleinberg, Zeitschrift für Mathematische
Logik und Grundlagen der Mathematik 30(1984), 183-192.
- Separating ultrafilters on uncountable cardinals,
with Alan D. Taylor, Israel Journal of Mathematics 47(1984),
131-148.
- Negative partition relations for ultrafilters on uncountable
cardinals, with Alan D. Taylor, Proceedings of the American
Mathematical Society 92(1984), 83-93.
- Partition relations for successor cardinals,
Advances in Mathematics 59(1986), 152-169.
- Finest partitions for ultrafilters, The Journal of
Symbolic Logic 51(1986), 327-332.
- A proposal for deciding chess matches, with Leonid
Levin, Players' Chess News, Games and Events 56, 26 August 1985.
- On Gödel incompleteness and finite
combinatorics, with Kenneth McAloon, Annals of Pure and Applied Logic
33(1987), 23-41.
- Diamonds, large cardinals, and ultrafilters, in
Walter A. Carnielli and Luiz Paulo de Alcantara, editors, Methods and Applications
of Mathematical Logic, Contempoaray Mathematics 69, 35-42. American
Mathematical Society, Providence, 1988.
- Regressive partition relations for infinite
cardinals, with András Hajnal and Saharon Shelah, Transactions of
the American Mathematical Society 299(1987), 145-155.
- Regressive partitions and Borel diagonalization,
The Journal of Symbolic Logic 54(1989), 540-552.
- The compleat 0-dagger, with Tamara Awerbuch-Friedlander,
Zeitschrift für Mathematische Logik and Grundlagen der Mathematik 36(1990),
133-141.
- Regressive partition relations, n-stuble cardinals, and
Borel diagonalization, Annals of Pure and Applied Logic 52(1991), 65-77.
Publications since 1995
- Complete quotient Boolean algebras, with Saharon
Shelah, Transactions of the American Mathematical Society 347(1995),
1963-1979.
- The emergence of descriptive set theory, in Jaakko
Hintikka, editor, From Dedekind to Godel: Essays on the Development of the
Foundations of Mathematics, Synthčse Library volume 251, 241-262. Dordrecht,
Kluwer, 1995.
- The mathematical development of set theory from Cantor
to Cohen, The Bulletin of Symbolic Logic 2(1996), 1-71.
- Hilbert and set theory, with Burton Dreben,
Synthčse 110(1997), 77-125.
- The mathematical import of Zermelo's Well-Ordering
Theorem, The Bulletin of Symbolic Logic 3(1997), 281-311.
- Introduction to Akihiro Kanamori, editor,
Analytic Philosophy and Logic,
The Proceedings of the Twentieth World Congress of Philosophy, Volume 6, 1998,
xiii-xli. Philosophy Documentation Center, Bowling Green, 2000.
- Does GCH imply AC locally?, with David Pincus, in:
Gábor Halász, László Lovász, Miklós Simonivits and Vera T. Sós,
editors, Paul Erdös and His Mathematics, Bolyai Society Mathematical Studies, volume II,
413-426. Berlin, Springer, 2002.
- The empty set, the singleton, and the ordered pair,
The Bulletin of Symbolic Logic 9(2003), 273-298.
- Introductory note to the Gödel-Ulam correspondence,
in Solomon Feferman and John W. Dawson, Jr., editors-in-chief, Kurt Gödel
Collected Works, Volume V, Correspondence H-Z. Clarendon Press, Oxford, 2003.
- Zermelo and set theory, The Bulletin of Symbolic
Logic 10(2004), 487-553.
- Levy and set theory, Annals of Pure and Applied
Logic 140(2006), 233-252.
- How Gödel transformed set theory, with Juliet
Floyd, Notices of the American Mathematical Society 53(2006), 417-425.
- Gödel and set theory, The Bulletin of Symbolic
Logic 13(2007), 153-188. Reprinted in Solomon Feferman, Charles Parsons, and
Stephen G. Simpson, editors, Kurt Gödel: Essays for his Centennial,
Lecture Notes in Logic, volume 33, 145-180. Associaton for Symbolic Logic, 2010.
- Cohen and set theory, The Bulletin of Symbolic
Logic 14(2008), 351-378.
- L'ipotesi del continuo (in Italian), a book chapter in: Claudio
Bartocci and Piergiorgio Odifreddi, editors, Mathematics and Culture,
volume 2, 461-514. Einaudi 2008.
- Set theory from Cantor to Cohen, a book chapter
in: Andrew D. Irvine, editor, Philosophy of Mathematics, volume 4 of
Handbook of the Philosophy of Science, 395-460. Cambridge University Press,
Cambridge, 2009. Revised version of BSL 2(1996), 1-71 article above. Reprinted
with minor emendations in Dov M. Gabbay, Akihiro Kanamori, and John H. Woods,
editors, Sets and Extensions in the Twentieth
Century, volume 6 of Handbook for the History of Logic, 1-71.
Cambridge University Press, Cambridge, 2012.
- Bernays and set theory, The Bulletin of Symbolic
Logic 15(2009), 43-60.
- The infinite as method in set theory and mathematics,
Ontology Studies 9(2009), 31-41.
- Introduction to Matthew Foreman and Akihiro
Kanamori, editors, Handbook of Set Theory, 1-92. Springer, Berlin, 2010.
- Introductory note to 1930a, Zermelo's article
``Über Grenzzahlen und Mengenbereiche'', in: Heinz-Dieter Ebbinghaus and Akihiro Kanamori,
editors, Collected Works of Ernst Zermelo, Volume I, 390-431. Springer, Berlin, 2010.
- Introductory note to s1930d, Zermelo's report to the
Notgemeinschaft der Deutschen Wissenschaft, in: Heinz-Dieter Ebbinghaus and Akihiro Kanamori,
editors, Collected Works of Ernst Zermelo, Volume I, 432-443. Springer, Berlin, 2010.
- Introductory note to s1930e, Zermelo's note on the cumulative hierarchy conception of sets, in: Heinz-Dieter Ebbinghaus and Akihiro Kanamori,
editors, Collected Works of Ernst Zermelo, Volume I, 444-453. Springer, Berlin, 2010.
- Introductory note to s1931e and s1933b, Zermelo's notes on
ordinal numbers and large cardinals, in: Heinz-Dieter Ebbinghaus and Akihiro Kanamori,
editors, Collected Works of Ernst Zermelo, Volume I, 502-515. Springer, Berlin, 2010.
- Historical remarks on Suslin's Problem, in: Juliette
Kennedy and Roman Kossak, editors, Set Theory, Arithmetic and Foundations of
Mathematics: Theorems, Philosophies, Lecture Notes in Logic, volume 36, 1-12.
Association for Symbolic Logic, 2011.
- Kunen and set theory, Topology and its Applications
158(2011), 2446-2459.
- In praise of Replacement, The Bulletin of Symbolic
Logic 18(2012), 45-90.
- Large cardinals with forcing, a book chapter in: Dov M.
Gabbay, Akihiro Kanamori, and John H. Woods, editors, Sets and Extensions in
the Twentieth Century, volume 6 of Handbook for the History of
Logic, 359-413.
Cambridge University Press, Cambridge, 2012.
- The mathematical infinite as a matter of method,
Annals of the Japan Association for Philosophy of Science 20(2012), 3-15.
- Mathematical knowledge: Motley and complexity of
proof, Annals of the Japan Association for Philosophy of Science
21(2013), 21-35.
- Erdös and set theory,
The Bulletin of Symbolic Logic 20(2014), 449-496.
- Gödel vis-ŕ-vis Russell: From logic and set
theory to philosophy, with Juliet Floyd, in: Gabriella Crocco and Eva-Maria
Engelen, editors, Kurt Gödel: Philosopher-Scientist, 243-326. Publications de
l'Université de Provence, Aix-en-Provence, 2016.
- Laver and set theory, Archive for
Mathematical Logic, 55(2016), 133-164.
- Mathias and set theory,
Mathematical Logic Quarterly, 20(2016), 278-294.
- Aspect-perception and the history of mathematics, in: Dominic Shaw, Brendan Harrington and Michael Beaney,
editors, Aspect Perception after Wittgenstein: Seeing-as and Novelty, 109-130.
Routledge, Abingdon, 2018.
- Putnam's
constructivization argument, in: Geoffrey Hellman and Roy Cook, editors,
Hilary Putnam on Logic and Mathematics, Springer, Berlin, 2018.
- Cantor and continuity,
to appear in a philosophical volume on the concept of continuity edited by Stewart Shapiro,
Cambridge University Press, 2019.
- Kreisel
and Wittgenstein, to appear in a volume commemorating Georg Kreisel,
edited by Paul Weingartner, College Publications, 2019.
Course Syllabi
Last Updated: 1/1/19