On the Common Mathematical Science
E731540
On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
All labels observed (1)
| Label | Occurrences |
|---|---|
| On the Common Mathematical Science canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T8411622 — 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: On the Common Mathematical Science Context triple: [Iamblichus of Chalcis, notableWork, On the Common Mathematical Science]
-
A.
An Essay on the Usefulness of Mathematical Learning
An Essay on the Usefulness of Mathematical Learning is an early 18th-century treatise by John Arbuthnot that argues for the intellectual and practical value of studying mathematics.
-
B.
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The Unreasonable Effectiveness of Mathematics in the Natural Sciences is a landmark 1960 essay by physicist Eugene Wigner that explores why abstract mathematics so powerfully and mysteriously describes physical reality.
-
C.
Enumeration of the Sciences
Enumeration of the Sciences is a foundational philosophical treatise by Al-Farabi that systematically classifies and analyzes the various branches of knowledge in the Islamic intellectual tradition.
-
D.
Mathematical Discovery
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
-
E.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
- 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: On the Common Mathematical Science Target entity description: On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
-
A.
An Essay on the Usefulness of Mathematical Learning
An Essay on the Usefulness of Mathematical Learning is an early 18th-century treatise by John Arbuthnot that argues for the intellectual and practical value of studying mathematics.
-
B.
The Unreasonable Effectiveness of Mathematics in the Natural Sciences
The Unreasonable Effectiveness of Mathematics in the Natural Sciences is a landmark 1960 essay by physicist Eugene Wigner that explores why abstract mathematics so powerfully and mysteriously describes physical reality.
-
C.
Enumeration of the Sciences
Enumeration of the Sciences is a foundational philosophical treatise by Al-Farabi that systematically classifies and analyzes the various branches of knowledge in the Islamic intellectual tradition.
-
D.
Mathematical Discovery
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
-
E.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
Neoplatonic work
ⓘ
philosophical treatise ⓘ |
| aimsTo | integrate mathematics into a theurgic and theological framework ⓘ |
| associatedWith | Syrian Neoplatonic school NERFINISHED ⓘ |
| author | Iamblichus of Chalcis NERFINISHED ⓘ |
| concerns |
didactic function of mathematical study
ⓘ
ontological status of numbers ⓘ relation of mathematical science to higher contemplation ⓘ |
| context | late antique Platonism ⓘ |
| explores |
nature of mathematics
ⓘ
relation between mathematics and metaphysics ⓘ relation between mathematics and theology ⓘ role of mathematics in reality ⓘ |
| focusesOn |
educational role of mathematics in philosophy
ⓘ
hierarchy of sciences ⓘ place of mathematics in the hierarchy of being ⓘ status of mathematical objects ⓘ |
| genre | prose ⓘ |
| hasPhilosophicalPosition |
mathematical study as preparation for higher metaphysical insight
ⓘ
mathematics as a bridge between physical and intelligible worlds ⓘ |
| historicalPeriod | Late Antiquity ⓘ |
| influencedBy |
Plato
ⓘ
Pythagorean tradition NERFINISHED ⓘ earlier Middle Platonism ⓘ |
| language | Ancient Greek ⓘ |
| mainTopic |
Neoplatonism
NERFINISHED
ⓘ
mathematics ⓘ metaphysics ⓘ theology ⓘ |
| partOf | Iamblichus’ philosophical corpus ⓘ |
| philosophicalDiscipline |
metaphysics of number
ⓘ
philosophy of mathematics ⓘ philosophy of science ⓘ |
| philosophicalTradition | Neoplatonism NERFINISHED ⓘ |
| regionOfOrigin | Eastern Roman Empire NERFINISHED ⓘ |
| relatedWork |
Iamblichus’ theological treatises
NERFINISHED
ⓘ
Iamblichus’ writings on Pythagoreanism ⓘ |
| studiedIn |
classical studies
ⓘ
history of ancient philosophy ⓘ history of mathematics ⓘ |
| treatsMathematicsAs | intermediate between sensible and intelligible realms ⓘ |
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: On the Common Mathematical Science Description of subject: On the Common Mathematical Science is a Neoplatonic philosophical treatise by Iamblichus of Chalcis that explores the nature and role of mathematics within his broader metaphysical and theological system.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.