Über die Bildung des Formensystems der ternären biquadratischen Form
E29379
"Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
All labels observed (2)
How this entity was disambiguated
This entity first appeared as the object of triple T229002 — 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: Über die Bildung des Formensystems der ternären biquadratischen Form Context triple: [Emmy Noether, doctoralThesis, Über die Bildung des Formensystems der ternären biquadratischen Form]
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A.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
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B.
The Mathematical Analysis of Logic
The Mathematical Analysis of Logic is George Boole’s pioneering 1847 work that laid the foundations of symbolic logic and helped initiate the algebraic treatment of logical reasoning.
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C.
Dyson’s transform in number theory
Dyson’s transform in number theory is a combinatorial technique introduced by Freeman Dyson to manipulate and relate integer partitions, particularly in the study of partition identities and congruences.
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D.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
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E.
An Investigation of the Laws of Thought
An Investigation of the Laws of Thought is George Boole’s foundational 1854 treatise that established Boolean algebra and helped lay the groundwork for modern mathematical logic and computer science.
- 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: Über die Bildung des Formensystems der ternären biquadratischen Form Target entity description: "Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
-
A.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
-
B.
The Mathematical Analysis of Logic
The Mathematical Analysis of Logic is George Boole’s pioneering 1847 work that laid the foundations of symbolic logic and helped initiate the algebraic treatment of logical reasoning.
-
C.
Dyson’s transform in number theory
Dyson’s transform in number theory is a combinatorial technique introduced by Freeman Dyson to manipulate and relate integer partitions, particularly in the study of partition identities and congruences.
-
D.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
-
E.
An Investigation of the Laws of Thought
An Investigation of the Laws of Thought is George Boole’s foundational 1854 treatise that established Boolean algebra and helped lay the groundwork for modern mathematical logic and computer science.
- F. None of above. chosen
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
academic thesis
ⓘ
doctoral dissertation ⓘ mathematical work ⓘ |
| academicDegree | doctorate in mathematics ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| author | Emmy Noether ⓘ |
| authorGender | female ⓘ |
| authorNationality | German ⓘ |
| authorNotableFor | foundational work in abstract algebra ⓘ |
| authorOccupation | mathematician ⓘ |
| countryOfOrigin | Germany ⓘ |
| fieldOfStudy |
algebra
ⓘ
invariant theory ⓘ mathematics ⓘ |
| focusesOn |
construction of systems of invariants
ⓘ
form systems of ternary biquadratic forms ⓘ |
| historicalPeriod | early 20th century mathematics ⓘ |
| language | German ⓘ |
| mainTopic |
higher-degree algebraic forms
ⓘ
invariants of ternary biquadratic forms ⓘ |
| publicationYear | 1907 ⓘ |
| relatedTo |
algebraic forms
ⓘ
classical invariant theory ⓘ |
| titleTranslation | On the Construction of the System of Forms of the Ternary Biquadratic Form ⓘ |
| workType | research thesis ⓘ |
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: Über die Bildung des Formensystems der ternären biquadratischen Form Description of subject: "Über die Bildung des Formensystems der ternären biquadratischen Form" is the 1907 doctoral dissertation of mathematician Emmy Noether, in which she investigates the invariant theory of certain higher-degree algebraic forms.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
Emmy Noether
→
doctoralThesis
→
Über die Bildung des Formensystems der ternären biquadratischen Form
ⓘ
Über die Bildung des Formensystems der ternären biquadratischen Form
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titleTranslation
→
On the Construction of the System of Forms of the Ternary Biquadratic Form
ⓘ
linked to: Über die Bildung des Formensystems der ternären biquadratischen Form