Cayley
E709590
Cayley is a surname most notably associated with the influential 19th-century British mathematician Arthur Cayley, a pioneer in group theory and matrix algebra.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Cayley canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T8067242 — 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: Cayley Context triple: [William Cayley, familyName, Cayley]
-
A.
MacMahon
MacMahon is a French noble family name most prominently associated with Patrice de MacMahon, a 19th-century Marshal of France and President of the French Third Republic.
-
B.
Wallis
Wallis is a given name and surname used in English-speaking countries, often considered a variant of Wallace.
-
C.
Hassler
Hassler Whitney was an influential American mathematician known for his foundational work in differential topology and manifold theory.
-
D.
Talbot
Talbot is a surname of English and Norman origin, historically associated with several notable families and individuals.
-
E.
Humphreys
Humphreys is a small unincorporated community located within Lea County in southeastern New Mexico.
- 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: Cayley Target entity description: Cayley is a surname most notably associated with the influential 19th-century British mathematician Arthur Cayley, a pioneer in group theory and matrix algebra.
-
A.
MacMahon
MacMahon is a French noble family name most prominently associated with Patrice de MacMahon, a 19th-century Marshal of France and President of the French Third Republic.
-
B.
Wallis
Wallis is a given name and surname used in English-speaking countries, often considered a variant of Wallace.
-
C.
Hassler
Hassler Whitney was an influential American mathematician known for his foundational work in differential topology and manifold theory.
-
D.
Talbot
Talbot is a surname of English and Norman origin, historically associated with several notable families and individuals.
-
E.
Humphreys
Humphreys is a small unincorporated community located within Lea County in southeastern New Mexico.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
human
ⓘ
mathematician ⓘ surname ⓘ |
| countryOfCitizenship | United Kingdom ⓘ |
| dateOfBirth | 1821 ⓘ |
| dateOfDeath | 1895 ⓘ |
| educatedAt | Trinity College, Cambridge ⓘ |
| employer |
Cambridge University
ⓘ
surface form:
University of Cambridge
|
| familyName | Cayley NERFINISHED ⓘ |
| fieldOfWork |
algebra
ⓘ
group theory ⓘ invariant theory ⓘ mathematics ⓘ matrix theory ⓘ projective geometry ⓘ |
| givenName | Arthur NERFINISHED ⓘ |
| hasAcademicAdvisor | George Peacock NERFINISHED ⓘ |
| hasNamesake |
Cayley graph
NERFINISHED
ⓘ
Cayley graph NERFINISHED ⓘ Cayley surface NERFINISHED ⓘ Cayley table NERFINISHED ⓘ Cayley table NERFINISHED ⓘ Cayley transform NERFINISHED ⓘ Cayley–Hamilton theorem NERFINISHED ⓘ Cayley–Hamilton theorem NERFINISHED ⓘ |
| hasNotableBearer | Arthur Cayley NERFINISHED ⓘ |
| influenced |
James Joseph Sylvester
NERFINISHED
ⓘ
William Rowan Hamilton NERFINISHED ⓘ modern abstract algebra ⓘ modern group theory ⓘ |
| influencedBy |
Augustin-Louis Cauchy
NERFINISHED
ⓘ
Carl Gustav Jacob Jacobi NERFINISHED ⓘ |
| languageOfOrigin | English ⓘ |
| memberOf | Royal Society ⓘ |
| notableFor |
Cayley graph concept
ⓘ
Cayley tables in group theory ⓘ Cayley–Hamilton theorem NERFINISHED ⓘ foundational work in group theory ⓘ pioneering work in matrix algebra ⓘ |
| occupation |
lawyer
ⓘ
university professor ⓘ |
| placeOfBirth | Richmond, London NERFINISHED ⓘ |
| placeOfDeath | Cambridge, England NERFINISHED ⓘ |
| positionHeld | Sadleirian Professor of Pure Mathematics at Cambridge NERFINISHED ⓘ |
| usedInCountry |
Canada
ⓘ
United Kingdom ⓘ United States of America ⓘ
surface form:
United States
|
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: Cayley Description of subject: Cayley is a surname most notably associated with the influential 19th-century British mathematician Arthur Cayley, a pioneer in group theory and matrix algebra.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.