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Joel David Hamkins information


Joel David Hamkins
NationalityAmerican
Alma materUniversity of California, Berkeley
California Institute of Technology
Scientific career
FieldsMathematics, Philosophy
InstitutionsUniversity of Notre Dame
University of Oxford
City University of New York
Doctoral advisorW. Hugh Woodin

Joel David Hamkins is an American mathematician and philosopher who is O'Hara Professor of Philosophy and Mathematics at the University of Notre Dame.[1] He has made contributions in mathematical and philosophical logic, set theory and philosophy of set theory (particularly the idea of the set-theoretic multiverse), in computability theory, and in group theory.

  1. ^ "Joel David Hamkins". University of Notre Dame. Retrieved 2022-01-05.

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Joel David Hamkins

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Joel David Hamkins is an American mathematician and philosopher who is O'Hara Professor of Philosophy and Mathematics at the University of Notre Dame....

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Infinite chess

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and win, August 2014; and other academic papers by Joel Hamkins. Brumleve, Dan; Hamkins, Joel David; Schlicht, Philipp (2012). "The Mate-in-n Problem of...

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Infinity

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Infinite Series, with academic sources by J. Hamkins (infinite chess: Evans, C.D.A; Joel David Hamkins (2013). "Transfinite game values in infinite chess"...

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Game complexity

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Evans and Joel David Hamkins (2014). "Transfinite game values in infinite chess". arXiv:1302.4377 [math.LO]. Stefan Reisch, Joel David Hamkins, and Phillipp...

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Continuum hypothesis

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Peter Koellner wrote a critical commentary on Feferman's article. Joel David Hamkins proposes a multiverse approach to set theory and argues that "the...

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Complete group

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Springer-Verlag, ISBN 978-0-387-94285-8 (chapter 7, in particular theorems 7.15 and 7.17). Joel David Hamkins: How tall is the automorphism tower of a group?...

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Stack Exchange

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Blass Robert Bryant Noam Elkies Matthew Emerton Alexandre Eremenko Joel David Hamkins (top user on MathOverflow) James E. Humphreys Gil Kalai Anna Krylov...

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Axiom schema of replacement

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vol. 18, no. 1 (2012). Accessed 22 August 2023. Gitman, Victoria; Joel David Hamkins; Johnstone, Thomas A. (2011). "What is the theory ZFC without power...

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Integer sequence

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Encyclopedia of Integer Sequences List of OEIS sequences Hamkins, Joel David; Linetsky, David; Reitz, Jonas (2013), "Pointwise Definable Models of Set...

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Reflection principle

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2 (1988). Barton, Neil; Caicedo, Andrés Eduardo; Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas; Schindler, Ralf (2020). "Inner-Model Reflection Principles"...

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The Higher Infinite

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large cardinals", and reviewers Joel David Hamkins, Azriel Lévy and Philip Welch express similar sentiments. Hamkins writes that the book is "full of...

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Siteswap

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1981, and later developed by undergraduates Bruce "Boppo" Tiemann, Joel David Hamkins, and the late Bengt Magnusson at the California Institute of Technology...

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Akihiro Kanamori

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of the London Mathematical Society, doi:10.1112/S0024609396221678 Joel David Hamkins, Studia Logica, JSTOR 20016207 Azriel Lévy, Journal of Symbolic Logic...

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Unfoldable cardinal

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stationary set of totally indescribable cardinals.[citation needed] Hamkins, Joel David (2001). "Unfoldable cardinals and the GCH". The Journal of Symbolic...

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Worldly cardinal

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inaccessible cardinal ι. Hamkins (2014). Kanamori (2003), Theorem 1.3, p. 19. Kanamori (2003), Lemma 6.1, p. 57. Hamkins, Joel David (2014), "A multiverse...

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Wholeness axiom

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pp. 559–632, doi:10.1016/B978-0-444-51621-3.50008-6, MR 3409865. Hamkins, Joel David (2001), "The wholeness axioms and V = HOD", Archive for Mathematical...

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Tall cardinal

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Mκ ⊆ M. Tall cardinals are equiconsistent with strong cardinals. Hamkins, Joel David (2009), "Tall cardinals", Mathematical Logic Quarterly, 55 (1): 68–86...

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Supertask

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"The collapse of supertasks". arXiv:1309.0144 [physics.hist-ph]. Hamkins, Joel David (November 2002). "Infinite Time Turing Machines". Minds and Machines...

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Ground axiom

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introduced by Hamkins (2005) and Reitz (2007). Hamkins, Joel David (2005), "The Ground Axiom", Oberwolfach Report, 55: 3160–3162 Hamkins, Joel David; Reitz,...

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Definable real number

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Amsterdam: North-Holland, p. 153, ISBN 978-0-444-85401-8 Hamkins, Joel David; Linetsky, David; Reitz, Jonas (2013), "Pointwise Definable Models of Set...

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Mathematical logic

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doi:10.2307/2687794. hdl:11441/38373. JSTOR 2687794. S2CID 43258676. Hamkins, Joel David; Löwe, Benedikt (2007). "The modal logic of forcing". Transactions...

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Mathematics education in the United States

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of Proof (2nd ed.). Lightning Source Inc. ISBN 978-0-989-47210-4. Hamkins, Joel David (2020). Proof and the Art of Mathematics. MIT Press. ISBN 978-0-262-53979-1...

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