Gerhard Gentzen
E238811
Gerhard Gentzen was a German mathematician and logician best known for founding structural proof theory and introducing natural deduction and sequent calculus.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Gerhard Gentzen canonical | 7 |
How this entity was disambiguated
This entity first appeared as the object of triple T2139588 — 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: Gerhard Gentzen Context triple: [Jacques Herbrand, influenced, Gerhard Gentzen]
-
A.
Jacques Herbrand
Jacques Herbrand was a French mathematician and logician known for his foundational contributions to proof theory and mathematical logic, particularly Herbrand's theorem.
-
B.
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.
-
C.
Kurt Gödel
Kurt Gödel was a pioneering logician and mathematician best known for his incompleteness theorems, which fundamentally transformed the foundations of mathematics and logic.
-
D.
Paul Bernays
Paul Bernays was a Swiss mathematician and logician known for his foundational work in axiomatic set theory and his collaboration with David Hilbert on the foundations of mathematics.
-
E.
Ernst Specker
Ernst Specker was a Swiss mathematician best known for his foundational work in logic and the co-discovery of the Kochen–Specker theorem in quantum mechanics.
- 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: Gerhard Gentzen Target entity description: Gerhard Gentzen was a German mathematician and logician best known for founding structural proof theory and introducing natural deduction and sequent calculus.
-
A.
Jacques Herbrand
Jacques Herbrand was a French mathematician and logician known for his foundational contributions to proof theory and mathematical logic, particularly Herbrand's theorem.
-
B.
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.
-
C.
Kurt Gödel
Kurt Gödel was a pioneering logician and mathematician best known for his incompleteness theorems, which fundamentally transformed the foundations of mathematics and logic.
-
D.
Paul Bernays
Paul Bernays was a Swiss mathematician and logician known for his foundational work in axiomatic set theory and his collaboration with David Hilbert on the foundations of mathematics.
-
E.
Ernst Specker
Ernst Specker was a Swiss mathematician best known for his foundational work in logic and the co-discovery of the Kochen–Specker theorem in quantum mechanics.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
logician ⓘ mathematician ⓘ |
| academicAdvisor | Hermann Weyl ⓘ |
| birthCountry | German Empire ⓘ |
| birthDate | 1909-11-24 ⓘ |
| birthPlace | Greifswald ⓘ |
| causeOfDeath | starvation ⓘ |
| contributedTo |
formalization of logical inference
ⓘ
proof-theoretic semantics ⓘ |
| countryOfCitizenship | Germany ⓘ |
| deathCountry | Czechoslovakia ⓘ |
| deathDate | 1945-08-04 ⓘ |
| deathPlace | Prague ⓘ |
| developed |
natural deduction calculus
ⓘ
sequent calculus ⓘ |
| educatedAt | University of Göttingen ⓘ |
| employer |
University of Göttingen
ⓘ
German University in Prague ⓘ
surface form:
University of Prague
|
| era | 20th-century mathematics ⓘ |
| familyName | Gentzen ⓘ |
| fieldOfWork |
foundations of mathematics
ⓘ
mathematical logic ⓘ proof theory ⓘ |
| gender | male ⓘ |
| givenName | Gerhard ⓘ |
| influenced |
intuitionism
ⓘ
surface form:
intuitionistic logic
modern proof assistants ⓘ structural proof theory ⓘ type theory ⓘ |
| influencedBy |
David Hilbert
ⓘ
Hermann Weyl ⓘ |
| knownFor |
Gentzen-style proof systems
ⓘ
consistency proof for arithmetic ⓘ cut-elimination theorem ⓘ natural deduction ⓘ ordinal analysis ⓘ sequent calculus ⓘ structural proof theory ⓘ |
| name | Gerhard Gentzen self-link ⓘ |
| nationality | German ⓘ |
| notableWork |
Gentzen’s consistency proof for arithmetic
ⓘ
surface form:
Die Widerspruchsfreiheit der reinen Zahlentheorie
Untersuchungen über das logische Schließen ⓘ |
| proved | consistency of Peano arithmetic relative to transfinite induction up to ε₀ ⓘ |
| usedConcept | transfinite induction ⓘ |
| usedOrdinal | epsilon nought (ε₀) ⓘ |
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: Gerhard Gentzen Description of subject: Gerhard Gentzen was a German mathematician and logician best known for founding structural proof theory and introducing natural deduction and sequent calculus.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Grundzüge der theoretischen Logik