Book III
E157376
Book III is a section of Carl Friedrich Gauss’s landmark number theory treatise "Disquisitiones Arithmeticae," contributing to its foundational development of modern arithmetic.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Book III canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1381986 — 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: Book III Context triple: [Disquisitiones Arithmeticae, hasPart, Book III]
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A.
Book III
Book III is the section of John Locke’s "An Essay Concerning Human Understanding" that focuses on the nature, use, and limitations of language in human knowledge.
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B.
Book III
Book III is one of the sections of Nicolaus Copernicus’s seminal astronomical work *De revolutionibus orbium coelestium*, which laid the foundations of the heliocentric model of the solar system.
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C.
Book III
Book III is the final section of Newton’s *Philosophiæ Naturalis Principia Mathematica*, in which he applies his laws of motion and universal gravitation to explain the motions of celestial bodies and the structure of the solar system.
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D.
Book III
Book III is a section of Washington Irving’s satirical work *A History of New York*, continuing its humorous mock-historical narrative of the city’s early days.
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E.
Book III
Book III is the section of Jean-Jacques Rousseau’s political treatise *The Social Contract* that focuses on the nature, forms, and functioning of government in relation to the sovereign people.
- 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: Book III Target entity description: Book III is a section of Carl Friedrich Gauss’s landmark number theory treatise "Disquisitiones Arithmeticae," contributing to its foundational development of modern arithmetic.
-
A.
Book III
Book III is a section of Washington Irving’s satirical work *A History of New York*, continuing its humorous mock-historical narrative of the city’s early days.
-
B.
Book III
Book III is the section of Jean-Jacques Rousseau’s political treatise *The Social Contract* that focuses on the nature, forms, and functioning of government in relation to the sovereign people.
-
C.
Book III
Book III is the section of John Locke’s "An Essay Concerning Human Understanding" that focuses on the nature, use, and limitations of language in human knowledge.
-
D.
Book III
Book III is one of the sections of Nicolaus Copernicus’s seminal astronomical work *De revolutionibus orbium coelestium*, which laid the foundations of the heliocentric model of the solar system.
-
E.
Book III
Book III is the final section of Newton’s *Philosophiæ Naturalis Principia Mathematica*, in which he applies his laws of motion and universal gravitation to explain the motions of celestial bodies and the structure of the solar system.
- F. None of above. chosen
Statements (20)
| Predicate | Object |
|---|---|
| instanceOf | book section ⓘ |
| author | Carl Friedrich Gauss ⓘ |
| containedIn | original 1801 edition of Disquisitiones Arithmeticae ⓘ |
| contributesTo | foundations of modern arithmetic ⓘ |
| field | number theory ⓘ |
| genre | mathematical treatise section ⓘ |
| hasAuthorNationality | German ⓘ |
| hasSubject |
arithmetic
ⓘ
theory of numbers ⓘ |
| hasTitleLanguage | Latin ⓘ |
| historicalSignificance | contributed to rigorous development of arithmetic as a branch of pure mathematics ⓘ |
| influenced |
19th-century number theory
ⓘ
modern algebraic number theory ⓘ |
| isComponentOf |
Disquisitiones Arithmeticae
ⓘ
surface form:
Gauss’s Disquisitiones Arithmeticae
|
| language | Latin ⓘ |
| originalPublisher |
B. G. Teubner
ⓘ
surface form:
Friedrich Perthes und I. H. Besser
|
| partOf | Disquisitiones Arithmeticae ⓘ |
| partOfWorkBy | Carl Friedrich Gauss ⓘ |
| placeOfPublication | Leipzig ⓘ |
| publicationYear | 1801 ⓘ |
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: Book III Description of subject: Book III is a section of Carl Friedrich Gauss’s landmark number theory treatise "Disquisitiones Arithmeticae," contributing to its foundational development of modern arithmetic.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.