# 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.

## Publications

- Takeuti, Gaisi (1953). "On a generalized logic calculus".
*Japanese Journal of Mathematics*.**23**: 39–96. ISSN 0075-3432. - Takeuti, Gaisi; Zaring, Wilson M. (1971),
*Introduction to axiomatic set theory*, Graduate Texts in Mathematics,**1**, New York-Berlin: Springer-Verlag, ISBN 0-387-90683-5, MR 0349390 - Takeuti, Gaisi; Zaring, Wilson M. (1973),
*Axiomatic set theory*, Graduate Texts in Mathematics,**8**, New York-Berlin: Springer-Verlag, MR 0416914 - Takeuti, Gaisi (2013) [1975].
*Proof theory*(Second ed.). Mineola, New York: Dover Publications. ISBN 978-0-486-49073-1. - Takeuti, Gaisi (1978),
*Two applications of logic to mathematics*, Publications of the Mathematical Society of Japan,**13**, Princeton, N.J.: Princeton University Press, ISBN 0-691-08212-X, MR 0505474 - Takeuti, Gaisi (2003) [1998],
*Memoirs of a proof theorist. Gödel and other logicians*, River Edge, NJ: World Scientific Publishing Co., Inc., ISBN 9789812382795, MR 1984952

## Notes

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

## External links

- Presidents of the Kurt Gödel Society
- Takeuti Symposium (contains relevant birthdate information)
- 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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