Adversus Geometras
E875377
Adversus Geometras is a work by the ancient skeptic philosopher Sextus Empiricus that critically examines and challenges the foundations and claims of geometry and mathematical sciences.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Adversus Geometras canonical | 1 |
| Against the Geometers | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10642573 — 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: Adversus Geometras Context triple: [Sextus Empiricus, hasWorkPart, Adversus Geometras]
-
A.
De institutione geometrica
De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
-
B.
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.
-
C.
Commentary on Euclid's Elements
Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
-
D.
De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
-
E.
Libellus de quinque corporibus regularibus
Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
- 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: Adversus Geometras Target entity description: Adversus Geometras is a work by the ancient skeptic philosopher Sextus Empiricus that critically examines and challenges the foundations and claims of geometry and mathematical sciences.
-
A.
De institutione geometrica
De institutione geometrica is a late antique Latin treatise on geometry that adapts and transmits classical Greek mathematical knowledge within the framework of the quadrivium.
-
B.
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.
-
C.
Commentary on Euclid's Elements
Commentary on Euclid's Elements is a late antique philosophical and mathematical treatise by Proclus that analyzes and interprets Euclid’s foundational geometry text while preserving valuable information about earlier Greek mathematics.
-
D.
De triangulis omnimodis
De triangulis omnimodis is a foundational 15th-century mathematical treatise by Regiomontanus that systematically develops plane and spherical trigonometry.
-
E.
Libellus de quinque corporibus regularibus
Libellus de quinque corporibus regularibus is a 15th-century mathematical treatise by Piero della Francesca that systematically studies the five Platonic solids and their geometric properties.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
ancient Greek text
ⓘ
philosophical work ⓘ |
| aim |
to challenge the certainty of geometrical knowledge
ⓘ
to undermine dogmatic claims of mathematical sciences ⓘ |
| associatedPhilosopher | Sextus Empiricus ⓘ |
| author | Sextus Empiricus ⓘ |
| circaDate | 2nd century CE ⓘ |
| concerns |
relation between perception and geometrical concepts
ⓘ
status of axioms and postulates in geometry ⓘ |
| critiques |
claims of demonstrative certainty
ⓘ
epistemic status of mathematical theorems ⓘ foundations of geometry ⓘ |
| epistemologicalPosition | suspension of judgment about geometrical claims ⓘ |
| genre | skeptical philosophy ⓘ |
| historicalPeriod | Hellenistic philosophy ⓘ |
| influences | later skepticism about mathematics ⓘ |
| intendedTarget |
dogmatic geometers
ⓘ
mathematical dogmatists ⓘ |
| language | Ancient Greek ⓘ |
| literaryForm | prose ⓘ |
| mainSubject |
geometry
ⓘ
mathematics ⓘ |
| partOfTradition | ancient Greek skepticism ⓘ |
| philosophicalMethod |
reductio-style criticism of proofs
ⓘ
skeptical argumentation ⓘ |
| philosophicalSchool |
Pyrrhonism
ⓘ
linked to:
Pyrrhonian skepticism
|
| philosophicalStance | skeptical ⓘ |
| philosophicalTheme |
fallibility of human knowledge
ⓘ
limits of demonstration ⓘ skepticism about theoretical sciences ⓘ |
| positionOnMathematics | critical ⓘ |
| preservedIn | Sextus Empiricus’ corpus of skeptical writings ⓘ |
| questionedConcept |
necessity of geometrical truths
ⓘ
self-evidence of geometrical axioms ⓘ universality of mathematical knowledge ⓘ |
| reception |
cited in discussions of ancient philosophy of mathematics
ⓘ
studied in modern scholarship on Sextus Empiricus ⓘ |
| regionOfOrigin |
Greco-Roman world
ⓘ
linked to:
Ancient Mediterranean world
|
| relatedField |
history of philosophy
ⓘ
philosophy of mathematics ⓘ |
| relatedWorkByAuthor | Adversus Mathematicos ⓘ |
| titleLanguage | Latin ⓘ |
| translatedTitle |
Against the Geometers
ⓘ
linked to:
Adversus Geometras
|
| workType | polemical treatise ⓘ |
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: Adversus Geometras Description of subject: Adversus Geometras is a work by the ancient skeptic philosopher Sextus Empiricus that critically examines and challenges the foundations and claims of geometry and mathematical sciences.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Adversus Geometras