De institutione arithmetica
E432959
De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
All labels observed (2)
| Label | Occurrences |
|---|---|
| De institutione arithmetica canonical | 3 |
| Boethius’s De institutione arithmetica | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4358036 — 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: De institutione arithmetica Context triple: [Boethius, authorOf, De institutione arithmetica]
-
A.
Trattato d’abaco
Trattato d’abaco is a mathematical treatise by Renaissance artist and mathematician Piero della Francesca, focusing on arithmetic and practical calculation methods.
-
B.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
C.
De Gradibus (On Degrees)
De Gradibus (On Degrees) is a pioneering scientific treatise by the 9th-century philosopher Al-Kindi that applies quantitative methods to analyze the strength and effects of medicines.
-
D.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
-
E.
Institutiones
Institutiones is a foundational legal textbook of Roman law, traditionally attributed to the Byzantine emperor Justinian I and used for the instruction of law students.
- 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: De institutione arithmetica Target entity description: De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
-
A.
Trattato d’abaco
Trattato d’abaco is a mathematical treatise by Renaissance artist and mathematician Piero della Francesca, focusing on arithmetic and practical calculation methods.
-
B.
Disquisitiones Arithmeticae
Disquisitiones Arithmeticae is a foundational 1801 treatise on number theory that systematically developed the subject and introduced many of its central concepts and methods.
-
C.
De Gradibus (On Degrees)
De Gradibus (On Degrees) is a pioneering scientific treatise by the 9th-century philosopher Al-Kindi that applies quantitative methods to analyze the strength and effects of medicines.
-
D.
Euclides adauctus et methodicus
Euclides adauctus et methodicus is a 17th-century mathematical treatise by Guarino Guarini that expands and systematizes Euclidean geometry for advanced study and architectural application.
-
E.
Institutiones
Institutiones is a foundational legal textbook of Roman law, traditionally attributed to the Byzantine emperor Justinian I and used for the instruction of law students.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
Latin prose work
ⓘ
didactic text ⓘ late antique work ⓘ mathematical treatise ⓘ |
| approximateDate | early 6th century ⓘ |
| author | Boethius ⓘ |
| category |
Latin mathematical literature
ⓘ
history of mathematics ⓘ |
| circulation | widely copied in the Middle Ages ⓘ |
| coversTopic |
abundant numbers
ⓘ
deficient numbers ⓘ even and odd numbers ⓘ number classifications ⓘ perfect numbers ⓘ properties of numbers ⓘ proportions ⓘ |
| discipline | quadrivium ⓘ |
| focus | theoretical arithmetic rather than calculation ⓘ |
| genre | didactic mathematics ⓘ |
| historicalRole | bridge between Greek and medieval arithmetic ⓘ |
| influenced |
medieval Western mathematics
ⓘ
quadrivium teaching ⓘ scholastic philosophy ⓘ |
| influencedBy |
Greek arithmetic tradition
ⓘ
Nicomachus of Gerasa ⓘ Pythagorean number theory ⓘ |
| intendedAudience | students of the liberal arts ⓘ |
| language | Latin ⓘ |
| LatinTitle | De institutione arithmetica ⓘ |
| mainSubject |
arithmetic
ⓘ
number theory ⓘ |
| partOf | Boethius’s educational project on the quadrivium ⓘ |
| philosophicalOrientation |
Neopythagorean
ⓘ
linked to:
Pythagoreanism
|
| preservedIn | medieval Latin manuscripts ⓘ |
| regionOfInfluence |
Latin Christendom
ⓘ
linked to:
Christendom
|
| relatedWork | De institutione musica ⓘ |
| structure | divided into books ⓘ |
| systematized | Greek arithmetic doctrines ⓘ |
| timePeriod | late antiquity ⓘ |
| transmitted | ancient Greek number theory to the medieval West ⓘ |
| usedAs | standard arithmetic textbook in the Middle Ages ⓘ |
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: De institutione arithmetica Description of subject: De institutione arithmetica is a foundational late antique Latin treatise on arithmetic that transmitted and systematized ancient Greek number theory for the medieval West.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: De institutione arithmetica