Gaisi Takeuti (?? ??, Takeuchi, Gaishi, January 25, 1926 – May 10, 2017) was 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 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.
He is also known for his work on ordinal diagrams with Akiko Kino.