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Gaisi Takeuti

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Title: Gaisi Takeuti  
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Subject: Takeuti's conjecture, Graduate Texts in Mathematics, Japanese logicians, Takeuti, Ordinal notation
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Gaisi Takeuti

Gaisi Takeuti (竹内 外史 Takeuchi Gaishi, born January 25, 1926) is a Japanese mathematician, known for his work in proof theory.[1]

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 respected 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.[2] He is also known for his work on ordinal diagrams with Akiko Kino.


  1. ^ Takeuti 2013.
  2. ^ Takeuti 1953. An erratum to this article was published in the same journal (24:149–156, 1954).


  • Takeuti, Gaisi (1953). "On a generalized logic calculus".  
  • Takeuti, Gaisi (2013) [1975]. Proof theory (Second ed.). Mineola, New York: Dover Publications.  

External links

  • Presidents of the Kurt Gödel Society
  • Takeuti Symposium (contains relevant birthdate information)
  • Memoirs of a Proof Theorist: Godel and Other LogiciansGoogle Books preview of
  • Logic Colloqium ’98 Proceedings (contains biography) at the Wayback Machine (archived September 26, 2006)
  • Gaisi Takeuti at the Mathematics Genealogy Project

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