Gaisi Takeuti

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

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 is the current president (since 2003) 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. [1]

He is also known for his work on ordinal diagrams with Akiko Kino.

[edit] References

  1. ^ Takeuti, Gaisi (1953), “On a generalized logic calculus”, Japanese Journal of Mathematics 23: 39–96, ISSN 0075-3432 
    An erratum to this article was published in the same journal (24:149–156, 1954).

[edit] External links


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