Éléments de mathématique
E671749
Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Treatise on Analysis | 2 |
| Éléments de mathématique canonical | 2 |
| Bourbaki Éléments | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7553220 — 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: Éléments de mathématique Context triple: [Bourbaki school of mathematics, notableWork, Éléments de mathématique]
-
A.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
B.
Éléments de géométrie algébrique
Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
-
C.
Les Principes du calcul infinitésimal
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
-
D.
Théorie analytique des probabilités
Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
-
E.
Séminaire de Géométrie Algébrique du Bois Marie
Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
- 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: Éléments de mathématique Target entity description: Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
-
A.
Cours d’Analyse
Cours d’Analyse is a foundational 19th-century mathematics textbook by Augustin-Louis Cauchy that rigorously developed the theory of functions, limits, and continuity, helping to formalize modern analysis.
-
B.
Éléments de géométrie algébrique
Éléments de géométrie algébrique is a foundational multi-volume treatise that reshaped modern algebraic geometry by developing the theory of schemes and cohomology in a highly general, abstract framework.
-
C.
Les Principes du calcul infinitésimal
Les Principes du calcul infinitésimal is a philosophical and metaphysical critique of modern infinitesimal calculus in which René Guénon examines its foundational concepts from the standpoint of traditional metaphysics.
-
D.
Théorie analytique des probabilités
Théorie analytique des probabilités is Pierre-Simon Laplace’s foundational treatise that systematically developed probability theory and laid the groundwork for modern statistics.
-
E.
Séminaire de Géométrie Algébrique du Bois Marie
Séminaire de Géométrie Algébrique du Bois Marie is a foundational multi-volume series of advanced seminars that reshaped modern algebraic geometry through the development of schemes, cohomology theories, and the Grothendieck school’s methods.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book series
ⓘ
treatise ⓘ |
| approach | structuralism in mathematics ⓘ |
| author | Nicolas Bourbaki ⓘ |
| collectiveAuthor |
Bourbaki group
ⓘ
linked to:
Nicolas Bourbaki
|
| countryOfOrigin | France ⓘ |
| foundation | axiomatic set theory ⓘ |
| hasAbbreviation |
Bourbaki Éléments
ⓘ
linked to:
Éléments de mathématique
Éléments ⓘ |
| hasPart |
Algèbre
ⓘ
Algèbre commutative ⓘ Espaces vectoriels topologiques ⓘ Fonctions d’une variable réelle ⓘ Groupes et algèbres de Lie ⓘ Intégration ⓘ Théorie des ensembles ⓘ
linked to:
set theory
Théories spectrales ⓘ Topologie générale ⓘ Variétés différentielles et analytiques ⓘ Éléments de l’histoire des mathématiques ⓘ |
| influenced |
mathematical structuralism
ⓘ
modern algebra textbooks ⓘ modern analysis textbooks ⓘ |
| language | French ⓘ |
| mainSubject |
Lie groups
ⓘ
algebra ⓘ analysis ⓘ commutative algebra ⓘ homological algebra ⓘ integration ⓘ mathematics ⓘ measure theory ⓘ set theory ⓘ spectral theory ⓘ topology ⓘ |
| notableFor |
abstract structural approach
ⓘ
influence on 20th-century mathematics ⓘ rigorous formal style ⓘ |
| originalTitle | Éléments de mathématique ⓘ |
| publicationPeriodStart | 1939 ⓘ |
| publisher |
Hermann
ⓘ
Springer ⓘ |
| targetAudience |
advanced mathematics students
ⓘ
professional mathematicians ⓘ |
| usesConcept |
morphism
ⓘ
set ⓘ structure ⓘ |
| writingStyle |
axiomatic
ⓘ
formal ⓘ impersonal ⓘ |
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: Éléments de mathématique Description of subject: Éléments de mathématique is an influential, multi-volume treatise that systematically rebuilds modern mathematics from set-theoretic foundations in a highly rigorous and abstract style.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Éléments de mathématique
linked to: Éléments de mathématique
subject linked to:
Dieudonné
linked to: Éléments de mathématique