Philipp Furtwängler
E190180
Philipp Furtwängler was a German mathematician known for his work in number theory, particularly in class field theory and reciprocity laws.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Philipp Furtwängler canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1451083 — 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: Philipp Furtwängler Context triple: [Olga Taussky-Todd, academicAdvisor, Philipp Furtwängler]
-
A.
Wilhelm Furtwängler
Wilhelm Furtwängler was a renowned 20th-century German conductor and composer, celebrated for his profound interpretations of the symphonic and operatic repertoire, especially works by Beethoven, Brahms, and Wagner.
-
B.
Otto Klemperer
Otto Klemperer was a renowned 20th-century German-born conductor celebrated for his authoritative interpretations of the classical and romantic repertoire, particularly of Beethoven and Mahler.
-
C.
Herbert von Karajan
Herbert von Karajan was a renowned 20th-century Austrian conductor, best known for his long tenure with the Berlin Philharmonic and influential recordings of the classical repertoire.
-
D.
Arthur Nikisch
Arthur Nikisch was a renowned late 19th- and early 20th-century Hungarian conductor celebrated for his influential interpretations of the symphonic repertoire and leadership of major European orchestras.
-
E.
William Steinberg
William Steinberg was a renowned 20th-century German-American conductor celebrated for his precise, disciplined interpretations with major orchestras in the United States and 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: Philipp Furtwängler Target entity description: Philipp Furtwängler was a German mathematician known for his work in number theory, particularly in class field theory and reciprocity laws.
-
A.
Wilhelm Furtwängler
Wilhelm Furtwängler was a renowned 20th-century German conductor and composer, celebrated for his profound interpretations of the symphonic and operatic repertoire, especially works by Beethoven, Brahms, and Wagner.
-
B.
Otto Klemperer
Otto Klemperer was a renowned 20th-century German-born conductor celebrated for his authoritative interpretations of the classical and romantic repertoire, particularly of Beethoven and Mahler.
-
C.
Herbert von Karajan
Herbert von Karajan was a renowned 20th-century Austrian conductor, best known for his long tenure with the Berlin Philharmonic and influential recordings of the classical repertoire.
-
D.
Arthur Nikisch
Arthur Nikisch was a renowned late 19th- and early 20th-century Hungarian conductor celebrated for his influential interpretations of the symphonic repertoire and leadership of major European orchestras.
-
E.
William Steinberg
William Steinberg was a renowned 20th-century German-American conductor celebrated for his precise, disciplined interpretations with major orchestras in the United States and Europe.
- F. None of above. chosen
Statements (35)
| Predicate | Object |
|---|---|
| instanceOf |
German mathematician
ⓘ
human ⓘ mathematician ⓘ |
| areaOfInfluence | algebraic number theory in the early 20th century ⓘ |
| contributedTo |
foundations of global class field theory
ⓘ
proofs of general reciprocity laws ⓘ theory of ideal classes in number fields ⓘ |
| countryOfCitizenship |
German Empire
ⓘ
Germany ⓘ |
| educatedAt |
University of Göttingen
ⓘ
University of Leipzig ⓘ |
| fieldOfWork |
algebraic number theory
ⓘ
mathematics ⓘ number theory ⓘ |
| gender | male ⓘ |
| hasResearchInterest |
algebraic extensions of number fields
ⓘ
class fields ⓘ ideal class groups ⓘ reciprocity laws in number fields ⓘ |
| influenced | development of class field theory ⓘ |
| influencedBy |
David Hilbert
ⓘ
Ernst Eduard Kummer ⓘ Richard Dedekind ⓘ |
| knownFor |
Furtwängler’s theorem in class field theory
ⓘ
class field theory ⓘ reciprocity laws ⓘ |
| languageOfWorkOrName | German ⓘ |
| memberOf | German mathematical community ⓘ |
| nativeLanguage | German ⓘ |
| notableStudent | Helmut Hasse ⓘ |
| notableWork |
contributions to ideal class groups
ⓘ
results on the principal ideal theorem ⓘ work on the reciprocity law of Artin ⓘ |
| occupation |
researcher
ⓘ
university teacher ⓘ |
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: Philipp Furtwängler Description of subject: Philipp Furtwängler was a German mathematician known for his work in number theory, particularly in class field theory and reciprocity laws.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.