Bernoulli family
E141074
The Bernoulli family was a prominent Swiss dynasty of mathematicians and scientists in the 17th and 18th centuries, known for major contributions to calculus, probability, and mathematical physics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bernoulli family canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T1233806 — 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: Bernoulli family Context triple: [Jakob Bernoulli, memberOf, Bernoulli family]
-
A.
Jakob Bernoulli
Jakob Bernoulli was a pioneering Swiss mathematician of the late 17th century, renowned for his foundational work in calculus and probability theory, including the early formulation of the law of large numbers.
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B.
Humboldt family
The Humboldt family is a prominent German noble lineage best known for producing influential figures such as naturalist and explorer Alexander von Humboldt and linguist and statesman Wilhelm von Humboldt.
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C.
Johann Bernoulli
Johann Bernoulli was a prominent Swiss mathematician of the late 17th and early 18th centuries, known for his foundational work in calculus and contributions to the calculus of variations and differential equations.
-
D.
Nobel family
The Nobel family is a prominent Swedish family best known for producing Alfred Nobel, the inventor of dynamite and founder of the Nobel Prizes.
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E.
Savoye family
The Savoye family were the French clients and owners who commissioned Le Corbusier’s iconic modernist Villa Savoye in Poissy, France.
- 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: Bernoulli family Target entity description: The Bernoulli family was a prominent Swiss dynasty of mathematicians and scientists in the 17th and 18th centuries, known for major contributions to calculus, probability, and mathematical physics.
-
A.
Jakob Bernoulli
Jakob Bernoulli was a pioneering Swiss mathematician of the late 17th century, renowned for his foundational work in calculus and probability theory, including the early formulation of the law of large numbers.
-
B.
Humboldt family
The Humboldt family is a prominent German noble lineage best known for producing influential figures such as naturalist and explorer Alexander von Humboldt and linguist and statesman Wilhelm von Humboldt.
-
C.
Johann Bernoulli
Johann Bernoulli was a prominent Swiss mathematician of the late 17th and early 18th centuries, known for his foundational work in calculus and contributions to the calculus of variations and differential equations.
-
D.
Nobel family
The Nobel family is a prominent Swedish family best known for producing Alfred Nobel, the inventor of dynamite and founder of the Nobel Prizes.
-
E.
Savoye family
The Savoye family were the French clients and owners who commissioned Le Corbusier’s iconic modernist Villa Savoye in Poissy, France.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
Swiss family
ⓘ
family ⓘ scientific dynasty ⓘ |
| activePeriod |
17th century
ⓘ
18th century ⓘ |
| countryOfOrigin | Switzerland ⓘ |
| ethnicGroup | Swiss ⓘ |
| fieldOfWork |
calculus
ⓘ
mathematics ⓘ physics ⓘ probability theory ⓘ |
| hasAcademicTradition |
calculus of variations
ⓘ
early probability theory ⓘ fluid mechanics ⓘ infinite series ⓘ |
| hasLegacy |
influence on fluid dynamics
ⓘ
influence on mathematical analysis ⓘ influence on modern probability theory ⓘ numerous mathematical concepts named Bernoulli ⓘ |
| hasReputation | one of the most important families in the history of mathematics ⓘ |
| influenced |
Leonhard Euler
ⓘ
development of classical mechanics ⓘ development of statistics ⓘ |
| knownFor |
Bernoulli differential equations
ⓘ
Bernoulli distribution ⓘ Bernoulli numbers ⓘ Bernoulli polynomials ⓘ Bernoulli equation ⓘ
surface form:
Bernoulli principle
Bernoulli trials ⓘ contributions to mathematical physics ⓘ development of calculus ⓘ foundational work in probability theory ⓘ hydrodynamics ⓘ law of large numbers ⓘ |
| languageOfWorkOrName |
German
ⓘ
Latin ⓘ |
| memberOf | Basel academic community ⓘ |
| notableMember |
Daniel Bernoulli
ⓘ
Jakob Bernoulli ⓘ
surface form:
Jacob Bernoulli
Jacob Bernoulli II ⓘ Johann Bernoulli ⓘ Johann Bernoulli ⓘ
surface form:
Johann Bernoulli II
Nicolaus Bernoulli ⓘ
surface form:
Niklaus Bernoulli
|
| originatedIn |
Basel-Stadt
ⓘ
surface form:
Basel, Switzerland
|
| placeOfActivity |
Basel-Stadt
ⓘ
surface form:
Basel
|
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: Bernoulli family Description of subject: The Bernoulli family was a prominent Swiss dynasty of mathematicians and scientists in the 17th and 18th centuries, known for major contributions to calculus, probability, and mathematical physics.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.