Arthur Cayley
E272830
Arthur Cayley was a 19th-century British mathematician renowned for his foundational work in matrix theory and abstract algebra.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Arthur Cayley canonical | 9 |
How this entity was disambiguated
This entity first appeared as the object of triple T2485363 — 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: Arthur Cayley Context triple: [De Morgan Medal, firstRecipient, Arthur Cayley]
-
A.
William Cayley
William Cayley was a notable figure after whom Mount Cayley in British Columbia, Canada, was named, likely reflecting his prominence in regional or national history.
-
B.
James Joseph Sylvester
James Joseph Sylvester was a prominent 19th-century English mathematician known for his foundational work in invariant theory, matrix theory, and number theory, and for co-founding the American Journal of Mathematics.
-
C.
Augustus De Morgan
Augustus De Morgan was a 19th-century British mathematician and logician known for formulating De Morgan's laws and contributing foundational work to symbolic logic.
-
D.
William Rowan Hamilton
William Rowan Hamilton was a 19th-century Irish mathematician and physicist best known for developing quaternions and reformulating classical mechanics in what is now called Hamiltonian mechanics.
-
E.
Horace Lamb
Horace Lamb was a British applied mathematician renowned for his foundational work in hydrodynamics and the theory of sound.
- 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: Arthur Cayley Target entity description: Arthur Cayley was a 19th-century British mathematician renowned for his foundational work in matrix theory and abstract algebra.
-
A.
William Cayley
William Cayley was a notable figure after whom Mount Cayley in British Columbia, Canada, was named, likely reflecting his prominence in regional or national history.
-
B.
James Joseph Sylvester
James Joseph Sylvester was a prominent 19th-century English mathematician known for his foundational work in invariant theory, matrix theory, and number theory, and for co-founding the American Journal of Mathematics.
-
C.
Augustus De Morgan
Augustus De Morgan was a 19th-century British mathematician and logician known for formulating De Morgan's laws and contributing foundational work to symbolic logic.
-
D.
William Rowan Hamilton
William Rowan Hamilton was a 19th-century Irish mathematician and physicist best known for developing quaternions and reformulating classical mechanics in what is now called Hamiltonian mechanics.
-
E.
Horace Lamb
Horace Lamb was a British applied mathematician renowned for his foundational work in hydrodynamics and the theory of sound.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
British mathematician
ⓘ
human ⓘ mathematician ⓘ |
| awardReceived |
Copley Medal
ⓘ
Royal Medal ⓘ |
| countryOfCitizenship |
United Kingdom
ⓘ
United Kingdom of Great Britain and Ireland ⓘ |
| dateOfBirth | 1821-08-16 ⓘ |
| dateOfDeath | 1895-01-26 ⓘ |
| describedBySource |
Encyclopaedia Britannica
ⓘ
MacTutor History of Mathematics archive ⓘ |
| educatedAt |
King's College School, London
ⓘ
Trinity College, Cambridge ⓘ |
| era | 19th-century mathematics ⓘ |
| familyName | Cayley ⓘ |
| fieldOfWork |
algebra
ⓘ
elliptic functions ⓘ group theory ⓘ higher-dimensional geometry ⓘ invariant theory ⓘ matrix theory ⓘ projective geometry ⓘ |
| givenName | Arthur ⓘ |
| languageOfWorkOrName | English ⓘ |
| memberOf | Royal Society ⓘ |
| nativeLanguage | English ⓘ |
| notableIdea |
Cayley’s theorem on groups as permutation groups
ⓘ
abstract algebraic structures ⓘ formalization of matrices as algebraic objects ⓘ |
| notableWork |
Cayley graph
ⓘ
Cayley numbers (octonions) terminology ⓘ Cayley surface ⓘ Cayley tables in group theory ⓘ Cayley–Dickson construction (namegiver) ⓘ Cayley–Hamilton theorem ⓘ introduction of the modern concept of matrix ⓘ |
| occupation |
lawyer
ⓘ
mathematician ⓘ |
| placeOfBirth |
Richmond, London
ⓘ
linked to:
Richmond, Surrey, England
Richmond, Surrey ⓘ
linked to:
Richmond, Surrey, England
|
| placeOfDeath |
Cambridge
ⓘ
linked to:
CAMBRIDGE
Cambridgeshire ⓘ
linked to:
Cambridgeshire, England
|
| positionHeld |
President of the London Mathematical Society
ⓘ
Sadleirian Professor of Pure Mathematics at the University of Cambridge ⓘ
linked to:
Sadleirian Professor of Pure Mathematics
|
| sexOrGender | male ⓘ |
| spouse | Susan Moline ⓘ |
| workLocation |
Cambridge
ⓘ
linked to:
CAMBRIDGE
London ⓘ
linked to:
London, England
|
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: Arthur Cayley Description of subject: Arthur Cayley was a 19th-century British mathematician renowned for his foundational work in matrix theory and abstract algebra.
Referenced by (9)
Full triples — surface form annotated when it differs from this entity's canonical label.