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词条 Gaisi Takeuti
释义

  1. Publications

  2. Notes

  3. External links

{{Infobox scientist
| honorific_prefix =
| name = Gaisi Takeuti
| honorific_suffix =
| native_name = 竹内 外史
| native_name_lang = ja
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| birth_date = {{birth date |1926|01|25}}
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| death_date = {{death date and age |2017|05|10|1926|01|25}}
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| nationality = Japanese
| fields = Mathematics
| workplaces = University of Illinois at Urbana-Champaign
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| education = Tokyo University
| alma_mater = Princeton
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| known_for = Work in proof theory
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}}{{nihongo|Gaisi Takeuti|竹内 外史|Takeuchi, Gaishi|extra=January 25, 1926 – May 10, 2017[1]}} was a Japanese mathematician, known for his work in proof theory.[2]

After graduating from Tokyo University, he went to Princeton to study under Kurt Gödel.

He later became a professor at the University of Illinois at Urbana-Champaign. Takeuti was president (2003–2009) of the Kurt Gödel Society, having worked on the book Memoirs of a Proof Theorist: Godel and Other Logicians. His goal was to prove the consistency of the real numbers. To this end, Takeuti's conjecture speculates that a sequent formalisation of second-order logic has cut-elimination.[3] He is also known for his work on ordinal diagrams with Akiko Kino.

Publications

  • {{cite journal |ref=harv| last1=Takeuti | first1=Gaisi | title=On a generalized logic calculus | year=1953 | journal=Japanese Journal of Mathematics | issn=0075-3432 | volume=23 | pages=39–96 | doi=10.4099/jjm1924.23.0_39 }}
  • {{cite journal |ref=harv| last1=Takeuti | first1=Gaisi | title=Errata to ‘On a Generalized Logic Calculus’ | year=1954 | journal=Japanese Journal of Mathematics | issn=0075-3432 | volume=24 | pages=149–156 | doi=10.4099/jjm1924.24.0_149 }}
  • {{citation|mr= 0349390 |last=Takeuti|first= Gaisi|last2= Zaring|first2= Wilson M.|title= Introduction to axiomatic set theory|series= Graduate Texts in Mathematics|volume= 1|publisher= Springer-Verlag|place= New York-Berlin|year= 2011|origyear=1982|edition=2nd|isbn=978-1-4613-8170-9|doi=10.1007/978-1-4613-8168-6}}
  • {{citation|mr=0416914 |last=Takeuti|first= Gaisi|last2= Zaring|first2= Wilson M.|title= Axiomatic set theory|series= Graduate Texts in Mathematics|volume= 8|publisher= Springer-Verlag|place= New York-Berlin|year= 1973|isbn=978-0-387-90050-6|doi=10.1007/978-1-4684-8751-0}}
  • {{cite book|ref=harv|last1=Takeuti|first1=Gaisi|title=Proof theory|edition=Second|publisher=Dover Publications|location=Mineola, New York|year=2013|origyear=1975|isbn=978-0-486-49073-1}}
  • {{citation|mr=0505474 |last= Takeuti|first= Gaisi|title= Two applications of logic to mathematics|series= Publications of the Mathematical Society of Japan|volume= 13|publisher= Princeton University Press|place= Princeton, N.J.|year=2015|origyear= 1978|isbn= 978-0-69-161022-1}}
  • {{citation|mr=1984952 |last= Takeuti|first= Gaisi |title=Memoirs of a proof theorist. Gödel and other logicians|origyear=1998|publisher= World Scientific Publishing Co., Inc. |place=River Edge, NJ|year= 2003|isbn= 978-981-238-279-5}}

Notes

1. ^{{Cite web|author=Sam Buss|date=2017-05-10|url=https://list.math.cas.cz/pipermail/proof-complexity/2017-May/000206.html|title=[Proof Complexity] Gaisi Takeuti|publisher=Proof-Complexity mailing list|accessdate=2019-01-13}}
2. ^{{harvnb|Takeuti|2013}}.
3. ^{{harvnb|Takeuti|1953}}. An erratum to this article was published in the same journal as {{harv|Takeuti|1954}}.

External links

{{Portal|Japan|Biography|Mathematics}}
  • [https://kgs.logic.at/organization/our-presidents Presidents of the Kurt Gödel Society]
  • Takeuti Symposium (contains relevant birthdate information)
  • {{webarchive |url=https://web.archive.org/web/20060926190817/http://www.math.cas.cz/~lc98/proc.ps |date=September 26, 2006 |title=Logic Colloqium ’98 Proceedings (contains biography) }}
  • {{mathgenealogy|42046}}
{{Authority control}}{{DEFAULTSORT:Takeuti Gaisi}}{{japan-scientist-stub}}{{Asia-mathematician-stub}}

7 : 1926 births|2017 deaths|Japanese logicians|Japanese philosophers|Proof theorists|University of Tokyo alumni|University of Illinois at Urbana–Champaign faculty

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