Johann Bernoulli
E55281
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.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Johann Bernoulli canonical | 15 |
| Johann II Bernoulli | 3 |
| Johann Bernoulli II | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T426799 — 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: Johann Bernoulli Context triple: [Leonhard Euler, doctoralAdvisor, Johann Bernoulli]
-
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.
Leonhard Euler
Leonhard Euler was an 18th-century Swiss mathematician and physicist who made foundational contributions to calculus, graph theory, topology, and many other areas, becoming one of the most prolific and influential mathematicians in history.
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C.
Jean d’Alembert
Jean d’Alembert was an 18th-century French mathematician, physicist, and philosopher best known for his foundational work in calculus, mechanics (including d’Alembert’s principle), and co-editing the Encyclopédie.
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D.
Joseph-Louis Lagrange
Joseph-Louis Lagrange was an 18th-century mathematician and astronomer renowned for his foundational contributions to analysis, number theory, and classical mechanics, including the formulation of Lagrangian mechanics.
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E.
Pierre-Louis Moreau de Maupertuis
Pierre-Louis Moreau de Maupertuis was an 18th-century French mathematician, philosopher, and astronomer best known for formulating the principle of least action and helping introduce Newtonian physics to continental Europe.
- 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: Johann Bernoulli Target entity description: 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.
-
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.
Leonhard Euler
Leonhard Euler was an 18th-century Swiss mathematician and physicist who made foundational contributions to calculus, graph theory, topology, and many other areas, becoming one of the most prolific and influential mathematicians in history.
-
C.
Jean d’Alembert
Jean d’Alembert was an 18th-century French mathematician, physicist, and philosopher best known for his foundational work in calculus, mechanics (including d’Alembert’s principle), and co-editing the Encyclopédie.
-
D.
Joseph-Louis Lagrange
Joseph-Louis Lagrange was an 18th-century mathematician and astronomer renowned for his foundational contributions to analysis, number theory, and classical mechanics, including the formulation of Lagrangian mechanics.
-
E.
Pierre-Louis Moreau de Maupertuis
Pierre-Louis Moreau de Maupertuis was an 18th-century French mathematician, philosopher, and astronomer best known for formulating the principle of least action and helping introduce Newtonian physics to continental Europe.
- F. None of above. chosen
Statements (52)
| Predicate | Object |
|---|---|
| instanceOf |
Swiss mathematician
ⓘ
human ⓘ mathematician ⓘ |
| academicDegree | doctorate in medicine ⓘ |
| child |
Daniel Bernoulli
ⓘ
Johann Bernoulli self-linksurface differs ⓘ
surface form:
Johann II Bernoulli
Nicolaus Bernoulli ⓘ
surface form:
Nicolaus II Bernoulli
|
| countryOfCitizenship | Switzerland ⓘ |
| dateOfBirth | 1667-08-06 ⓘ |
| dateOfDeath | 1748-01-01 ⓘ |
| educatedAt | University of Basel ⓘ |
| employer |
University of Basel
ⓘ
University of Groningen ⓘ |
| era |
17th century mathematics
ⓘ
18th century mathematics ⓘ |
| ethnicGroup | Swiss ⓘ |
| familyName | Bernoulli ⓘ |
| fieldOfWork |
calculus
ⓘ
calculus of variations ⓘ differential equations ⓘ mathematics ⓘ mechanics ⓘ |
| gender | male ⓘ |
| givenName | Johann ⓘ |
| influenced |
Daniel Bernoulli
ⓘ
Leonhard Euler ⓘ development of infinitesimal calculus ⓘ |
| knownFor |
contributions to differential equations
ⓘ
contributions to the calculus of variations ⓘ foundational work in calculus ⓘ work on the brachistochrone problem ⓘ |
| memberOf | Bernoulli family ⓘ |
| notableIdea |
development of the calculus of variations
ⓘ
early work on integrating factor methods ⓘ use of exponential functions in calculus ⓘ |
| notableWork |
brachistochrone problem
ⓘ
early work on the calculus of variations ⓘ exponential calculus ⓘ solutions to differential equations ⓘ |
| occupation |
professor of mathematics
ⓘ
university teacher ⓘ |
| placeOfBirth |
Basel-Stadt
ⓘ
surface form:
Basel
Old Swiss Confederacy ⓘ
surface form:
Swiss Confederacy
|
| placeOfDeath |
Basel-Stadt
ⓘ
surface form:
Basel
|
| positionHeld |
professor of mathematics at University of Basel
ⓘ
professor of mathematics at University of Groningen ⓘ |
| sibling |
Jakob Bernoulli
ⓘ
surface form:
Jacob Bernoulli
Nicolaus Bernoulli ⓘ |
| student |
Daniel Bernoulli
ⓘ
Guillaume de l’Hôpital ⓘ Leonhard Euler ⓘ Pierre Varignon ⓘ |
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: Johann Bernoulli Description of subject: 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.
Referenced by (20)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Johann II Bernoulli
subject surface form:
Bernoulli family
subject surface form:
Bernoulli family
this entity surface form:
Johann II Bernoulli
this entity surface form:
Johann Bernoulli II
this entity surface form:
Johann Bernoulli II
this entity surface form:
Johann II Bernoulli