Gaisi Takeuti
E755393
Gaisi Takeuti was a prominent Japanese logician known for his influential work in proof theory and the foundations of mathematics.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Gaisi Takeuti canonical | 2 |
| Takeuti | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T8751920 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Gaisi Takeuti Context triple: [Dana Scott, notableStudent, Gaisi Takeuti]
-
A.
Gerhard Gentzen
Gerhard Gentzen was a German mathematician and logician best known for founding structural proof theory and introducing natural deduction and sequent calculus.
-
B.
Solomon Feferman
Solomon Feferman was an American logician and philosopher of mathematics known for his influential work on proof theory, predicativity, and the foundations and history of mathematical logic.
-
C.
Shizuo Kakutani
Shizuo Kakutani was a Japanese-American mathematician renowned for his contributions to functional analysis and probability theory, including the formulation of the Kakutani fixed-point theorem.
-
D.
Leon Henkin
Leon Henkin was an American logician known for his influential work on completeness in first-order logic and for his contributions to the foundations of mathematics and mathematics education.
-
E.
Kiyoshi Itô
Kiyoshi Itô was a Japanese mathematician renowned for founding the modern theory of stochastic calculus, which underpins much of probability theory and mathematical finance.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Gaisi Takeuti Target entity description: Gaisi Takeuti was a prominent Japanese logician known for his influential work in proof theory and the foundations of mathematics.
-
A.
Gerhard Gentzen
Gerhard Gentzen was a German mathematician and logician best known for founding structural proof theory and introducing natural deduction and sequent calculus.
-
B.
Solomon Feferman
Solomon Feferman was an American logician and philosopher of mathematics known for his influential work on proof theory, predicativity, and the foundations and history of mathematical logic.
-
C.
Shizuo Kakutani
Shizuo Kakutani was a Japanese-American mathematician renowned for his contributions to functional analysis and probability theory, including the formulation of the Kakutani fixed-point theorem.
-
D.
Leon Henkin
Leon Henkin was an American logician known for his influential work on completeness in first-order logic and for his contributions to the foundations of mathematics and mathematics education.
-
E.
Kiyoshi Itô
Kiyoshi Itô was a Japanese mathematician renowned for founding the modern theory of stochastic calculus, which underpins much of probability theory and mathematical finance.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
logician ⓘ |
| countryOfCitizenship | Japan ⓘ |
| doctoralAdvisor | Shizuo Kakutani ⓘ |
| educatedAt | University of Tokyo ⓘ |
| employer |
Tokyo Institute of Technology
ⓘ
University of Illinois at Urbana–Champaign ⓘ University of Tokyo ⓘ |
| familyName |
Takeuti
ⓘ
linked to:
Gaisi Takeuti
|
| fieldOfWork |
foundations of mathematics
ⓘ
mathematical logic ⓘ ordinal analysis ⓘ proof theory ⓘ set theory ⓘ |
| gender | male ⓘ |
| givenName | Gaisi ⓘ |
| influenced |
Akiko Kino
ⓘ
Kazuyuki Tanaka NERFINISHED ⓘ proof theorists in Japan ⓘ |
| influencedBy |
David Hilbert
ⓘ
Gerhard Gentzen ⓘ Kurt Gödel ⓘ |
| knownFor |
Takeuti’s conjecture on cut-elimination for second-order logic
ⓘ
contributions to ordinal diagrams and ordinal notations ⓘ cut-elimination theorem for higher-order logic ⓘ textbook "Proof Theory" ⓘ textbook "Two Applications of Logic to Mathematics" ⓘ work on proof theory of second-order arithmetic ⓘ |
| languageOfWorkOrName |
English
ⓘ
Japanese ⓘ |
| name | Gaisi Takeuti ⓘ |
| nationality | Japanese ⓘ |
| nativeName | 竹内外史 ⓘ |
| notableStudent |
Akiko Kino
ⓘ
Kazuyuki Tanaka NERFINISHED ⓘ |
| notableWork |
"Proof Theory"
ⓘ
"Two Applications of Logic to Mathematics" ⓘ |
| occupation |
logician
ⓘ
mathematician ⓘ university professor ⓘ |
| placeOfBirth | Japan ⓘ |
| researchInterest |
constructive analysis
ⓘ
higher-order logic ⓘ second-order arithmetic ⓘ set-theoretic foundations of analysis ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Gaisi Takeuti Description of subject: Gaisi Takeuti was a prominent Japanese logician known for his influential work in proof theory and the foundations of mathematics.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Gaisi Takeuti