Thoralf Skolem
E246704
Thoralf Skolem was a Norwegian mathematician and logician known for his foundational work in model theory and set theory, including Skolem's paradox and the Löwenheim–Skolem theorem.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Thoralf Skolem canonical | 3 |
| Skolem | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2252122 — 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: Thoralf Skolem Context triple: [Atle Selberg, doctoralAdvisor, Thoralf Skolem]
-
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.
Abraham Fraenkel
Abraham Fraenkel was a German-Israeli mathematician best known for his foundational work in set theory, particularly his contributions to the axiomatic system now called Zermelo–Fraenkel set theory.
-
C.
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.
-
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.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
- 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: Thoralf Skolem Target entity description: Thoralf Skolem was a Norwegian mathematician and logician known for his foundational work in model theory and set theory, including Skolem's paradox and the Löwenheim–Skolem theorem.
-
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.
Abraham Fraenkel
Abraham Fraenkel was a German-Israeli mathematician best known for his foundational work in set theory, particularly his contributions to the axiomatic system now called Zermelo–Fraenkel set theory.
-
C.
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.
-
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.
Bartel Leendert van der Waerden
Bartel Leendert van der Waerden was a Dutch mathematician best known for his foundational work in abstract algebra and contributions to algebraic geometry and number theory.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
Norwegian person
ⓘ
human ⓘ logician ⓘ mathematician ⓘ |
| countryOfCitizenship | Norway ⓘ |
| educatedAt | University of Oslo ⓘ |
| employer |
Norwegian Institute of Technology
ⓘ
University of Oslo ⓘ |
| familyName |
Thoralf Skolem
self-linksurface differs
ⓘ
surface form:
Skolem
|
| fieldOfWork |
foundations of mathematics
ⓘ
mathematical logic ⓘ mathematics ⓘ model theory ⓘ set theory ⓘ |
| gender | male ⓘ |
| givenName | Thoralf ⓘ |
| influenced |
model theory
ⓘ
philosophy of mathematics ⓘ proof theory ⓘ set theory ⓘ |
| influencedBy | Leopold Löwenheim ⓘ |
| knownFor |
Löwenheim–Skolem theorem (via additional arguments)
ⓘ
surface form:
Löwenheim–Skolem theorem
Skolemization ⓘ
surface form:
Skolem normal form
Löwenheim–Skolem theorem (via additional arguments) ⓘ
surface form:
Skolem's paradox
Skolemization ⓘ foundational work in model theory ⓘ foundational work in set theory ⓘ |
| languageOfWorkOrName |
English
ⓘ
German ⓘ Norwegian ⓘ |
| notableIdea |
Löwenheim–Skolem theorem (via additional arguments)
ⓘ
surface form:
Skolem paradox about countable models of set theory
Löwenheim–Skolem theorem (via additional arguments) ⓘ
surface form:
downward Löwenheim–Skolem theorem
use of Skolem functions to eliminate existential quantifiers ⓘ |
| notableStudent | Øystein Ore ⓘ |
| notableWork |
Löwenheim–Skolem theorem (via additional arguments)
ⓘ
surface form:
Löwenheim–Skolem theorem
Skolem arithmetic ⓘ Skolemization ⓘ
surface form:
Skolem function
Löwenheim–Skolem theorem (via additional arguments) ⓘ
surface form:
Skolem hull
Skolemization ⓘ
surface form:
Skolem normal form
Löwenheim–Skolem theorem (via additional arguments) ⓘ
surface form:
Skolem's paradox
Skolemization ⓘ contributions to model-theoretic semantics ⓘ contributions to proof theory ⓘ non-standard models of arithmetic ⓘ relativized quantifiers in set theory ⓘ work on Peano arithmetic ⓘ work on recursive arithmetic ⓘ |
| occupation |
logician
ⓘ
mathematician ⓘ university professor ⓘ |
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: Thoralf Skolem Description of subject: Thoralf Skolem was a Norwegian mathematician and logician known for his foundational work in model theory and set theory, including Skolem's paradox and the Löwenheim–Skolem theorem.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Skolem