Karl Weierstrass
E20288
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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Karl Weierstrass canonical | 30 |
| Hermann Amandus Schwarz | 1 |
| Karl Theodor Wilhelm Weierstrass | 1 |
| Weierstrass | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T130550 — 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: Karl Weierstrass Context triple: [Prussian Academy of Sciences, notableMember, Karl Weierstrass]
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A.
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.
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B.
Bernhard Riemann
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
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C.
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.
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D.
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.
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E.
Niels Henrik Abel
Niels Henrik Abel was a pioneering 19th-century Norwegian mathematician renowned for his groundbreaking work in algebra and analysis, including proving the insolvability of the general quintic equation by radicals.
- 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: Karl Weierstrass Target entity description: 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.
-
A.
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.
-
B.
Bernhard Riemann
Bernhard Riemann was a 19th-century German mathematician whose groundbreaking work in analysis, number theory, and differential geometry laid the foundations for modern mathematics and general relativity.
-
C.
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.
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D.
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.
-
E.
Niels Henrik Abel
Niels Henrik Abel was a pioneering 19th-century Norwegian mathematician renowned for his groundbreaking work in algebra and analysis, including proving the insolvability of the general quintic equation by radicals.
- F. None of above. chosen
Statements (50)
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: Karl Weierstrass Description of subject: 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.
Referenced by (33)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Karl Theodor Wilhelm Weierstrass
this entity surface form:
Weierstrass
this entity surface form:
Hermann Amandus Schwarz
Essai sur l’étude des fonctions données par leur développement de Taylor
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influencedBy
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Karl Weierstrass
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