Paul Gordan
E33259
Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Paul Gordan canonical | 7 |
How this entity was disambiguated
This entity first appeared as the object of triple T229003 — 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: Paul Gordan Context triple: [Emmy Noether, doctoralAdvisor, Paul Gordan]
-
A.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
-
B.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
C.
David Hilbert
David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
-
D.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
E.
Constantin Carathéodory
Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
- 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: Paul Gordan Target entity description: Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
-
A.
Leopold Kronecker
Leopold Kronecker was a 19th-century German mathematician known for his work in number theory, algebra, and logic, and for his influential finitist and constructivist views on mathematics.
-
B.
Felix Klein
Felix Klein was a German mathematician renowned for his work in group theory, non-Euclidean geometry, and the Erlangen Program, which redefined the foundations of geometry.
-
C.
David Hilbert
David Hilbert was a pioneering German mathematician whose foundational work in fields such as invariant theory, axiomatic systems, and functional analysis profoundly shaped modern mathematics.
-
D.
Karl Weierstrass
Karl Weierstrass was a 19th-century German mathematician renowned as a founder of modern analysis, particularly for his rigorous formulation of calculus and the theory of functions.
-
E.
Constantin Carathéodory
Constantin Carathéodory was a prominent Greek-German mathematician known for his influential work in real analysis, the calculus of variations, and the foundations of thermodynamics.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| centuryOfActivity | 19th century ⓘ |
| countryOfCitizenship | Germany ⓘ |
| dateOfBirth | 1837-04-27 ⓘ |
| dateOfDeath | 1912-12-21 ⓘ |
| doctoralAdvisor | Ernst Eduard Kummer ⓘ |
| educatedAt |
University of Berlin
ⓘ
linked to:
Humboldt University of Berlin
University of Breslau ⓘ |
| employer |
University of Erlangen
ⓘ
linked to:
University of Erlangen-Nuremberg
|
| ethnicGroup | German ⓘ |
| familyName |
Gordan
ⓘ
linked to:
Gordon
|
| fieldOfWork |
algebra
ⓘ
invariant theory ⓘ mathematics ⓘ |
| givenName | Paul ⓘ |
| hasHonorificTitle | king of invariant theory ⓘ |
| influenced | David Hilbert ⓘ |
| influencedBy | Ernst Eduard Kummer ⓘ |
| knownFor |
constructive methods in invariant theory
ⓘ
proof of the finite basis theorem for invariants of binary forms ⓘ |
| languageOfWorkOrName | German ⓘ |
| memberOf | German Academy of Sciences Leopoldina ⓘ |
| nickname | king of invariant theory ⓘ |
| notableAchievement |
advanced classical invariant theory before Hilbert's abstract methods
ⓘ
developed algorithmic techniques for computing invariants ⓘ |
| notableStudent |
Emanuel Lasker
ⓘ
Felix Klein ⓘ Max Noether ⓘ |
| notableWork |
foundational work in algebraic invariants
ⓘ
work on invariants of binary forms ⓘ |
| occupation |
researcher in mathematics
ⓘ
university teacher ⓘ |
| placeOfBirth |
Breslau
ⓘ
Kingdom of Prussia ⓘ
linked to:
Prussia
|
| placeOfDeath |
Erlangen
ⓘ
Kingdom of Bavaria ⓘ |
| religion | Judaism ⓘ |
| residence |
Breslau
ⓘ
Erlangen ⓘ |
| sexOrGender | male ⓘ |
| student |
Emanuel Lasker
ⓘ
Felix Klein ⓘ Max Noether ⓘ |
| workLocation | Erlangen ⓘ |
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: Paul Gordan Description of subject: Paul Gordan was a 19th-century German mathematician known as the "king of invariant theory" for his foundational work in algebraic invariants.
Referenced by (7)
Full triples — surface form annotated when it differs from this entity's canonical label.