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- Gaisi Takeuti (竹内 外史, Takeuchi, Gaishi, 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.
en.wikipedia.org/wiki/Gaisi_Takeuti Proof Theory - Stanford Encyclopedia of Philosophy
Aug 13, 2018 · In Takeuti 1967 he gave a consistency proof for \(\Pi^1_1\)-comprehension and thereby for the first time obtained an ordinal analysis of an impredicative theory. For this Takeuti vastly extended Gentzen’s method of assigning ordinals (ordinal diagrams, to be precise) to …
Gaisi Takeuti - Wikipedia
Gaisi Takeuti (竹内 外史, 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…Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 2 mins
Proof theory : Takeuti, Gaisi, 1926- : Free Download, …
Aug 8, 2019 · Based on a series of lectures given at the Symposium on Intuitionism and Proof Theory held at Buffalo in the summer of 1968 Includes …
- Pages: 390
Gaisi Takeuti, Proof theory - PhilPapers
Focusing on Gentzen-type proof theory, the book presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to …
Proof theory and set theory | Synthese - Springer
Takeuti, G. Proof theory and set theory. Synthese 62, 255–263 (1985). https://doi.org/10.1007/BF00486049. Anyone you share the following link with will be able to …
- Author: Gaisi Takeuti
- Publish Year: 1985
Book:Gaisi Takeuti/Proof Theory/Second Edition - ProofWiki
Oct 3, 2020 · Gaisi Takeuti: Proof Theory (2nd Edition) Published $\text {1987}$, Dover. ISBN 0-486-49073-4. Subject Matter. Logic; Contents Preface Preface to the second edition Contents …
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Volume 81: Proof Theory - ScienceDirect
Edited by Gaisi Takeuti - Professor of Mathematics, The University of Illinois, Urbana, Illinois, U.S.A.
Proof Theory - Dover Publications
Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores applications of proof theory to logic as well as other areas of …
Proof Theory - Gaisi Takeuti - Google Books
Jan 1, 2013 · Focusing on Gentzen-typeproof theory, the book presents adetailed overview of creative works by the author and other20th-century logicians that includes applications of …
Proof Theory: Second Edition - Gaisi Takeuti - Google Books
Oct 10, 2013 · Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text …
GAISI TAKEUTI PROOF THEORY AND SET THEORY I divide the foundations of mathematics into two parts: a proof - theoretic part and a set-theoretic part. First, I would like to define these …
Proof theory by Gaisi Takeuti - Open Library
Jul 21, 2024 · Proof theory by Gaisi Takeuti, 1987, North-Holland, Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. edition, in English - 2nd ed.
[PDF] Proof Theory by Gaisi Takeuti | 9780486320670 - Perlego
Focusing on Gentzen-type proof theory, this volume presents a detailed overview of creative works by author Gaisi Takeuti and other twentieth-century logicians. The text explores …
Takeuti's proof theory in the context of the Kyoto School
In this paper, we aim to describe a general outline of our project to investigate Takeuti's philosophy of mathematics. In particular, after reviewing Takeuti's proof-theoretic results …
Gaisi Takeuti, Proof theory - PhilPapers
Focusing on Gentzen-type proof theory, the book presents a detailed overview of creative works by the author and other 20th-century logicians that includes applications of proof theory to …
Takeuti's proof theory in the context of the Kyoto School
In this paper, we aim to describe a general outline of our project to investigate Takeuti's philosophy of mathematics. In particular, after reviewing Takeuti's proof-theoretic results …
Takeuti's proof theory in the context of the Kyoto School
In this paper, we aim to describe a general outline of our project to investigate Takeuti's philosophy of mathematics. In particular, after reviewing Takeuti's proof-theoretic results …
In this article we will introduce our project of showing that Takeuti’s finitist program had its own character and goals, related to but distinct from the classical finitist program of Hilbert and …
Takeuti's proof theory in the context of the Kyoto School
In this paper, we aim to describe a general outline of our project to investigate Takeuti's philosophy of mathematics. In particular, after reviewing Takeuti's proof-theoretic results...
Proof Theory - Semantic Scholar
A direct proof of interpolation is obtained for (classical and intuitionistic) first-order logic with identity, as well as interpolation for several mathematical theories, including the theory of …
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