Bourbaki school of mathematics
E178588
The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
All labels observed (3)
| Label | Occurrences |
|---|---|
| Bourbaki group | 5 |
| Bourbaki | 4 |
| Bourbaki school of mathematics canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1577592 — 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.
Target entity: Bourbaki school of mathematics Context triple: [Bartel Leendert van der Waerden, influenced, Bourbaki school of mathematics]
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A.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
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B.
Lwów School of Mathematics
The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
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C.
Elementary Mathematics from an Advanced Standpoint
"Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
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D.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
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E.
Moscow school of topology
The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Bourbaki school of mathematics Target entity description: The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
-
A.
Erlangen Program
The Erlangen Program is Felix Klein’s influential 1872 framework that classifies and studies geometries based on their underlying symmetry groups and transformation properties.
-
B.
Lwów School of Mathematics
The Lwów School of Mathematics was a renowned early 20th-century Polish mathematical community centered in Lwów, famous for its groundbreaking work in functional analysis, set theory, and probability, and for its collaborative problem-solving culture documented in the Scottish Book.
-
C.
Elementary Mathematics from an Advanced Standpoint
"Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
-
D.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
E.
Moscow school of topology
The Moscow school of topology was a prominent mathematical tradition centered in Moscow that made foundational contributions to general and algebraic topology in the 20th century.
- F. None of above. chosen
Statements (61)
| Predicate | Object |
|---|---|
| instanceOf |
collective pseudonym
ⓘ
group of mathematicians ⓘ |
| aim |
to present mathematics as a unified whole
ⓘ
to rewrite mathematics on a rigorous axiomatic basis ⓘ |
| BourbakiSeminarInstanceOf | mathematical seminar series ⓘ |
| BourbakiSeminarLocation | Paris ⓘ |
| BourbakiSeminarStartTime | 1948 ⓘ |
| countryOfOrigin | France ⓘ |
| field | mathematics ⓘ |
| hasMeeting | Bourbaki seminar ⓘ |
| hasMember |
Alexander Grothendieck
ⓘ
André Weil ⓘ Armand Borel ⓘ Charles Ehresmann ⓘ Claude Chevalley ⓘ Henri Cartan ⓘ Jacques Dixmier ⓘ Jean Delsarte ⓘ Jean Dieudonné ⓘ Jean Leray ⓘ Jean-Louis Koszul ⓘ Jean-Pierre Serre ⓘ Laurent Lafforgue ⓘ Laurent Schwartz ⓘ Pierre Cartier ⓘ Pierre Samuel ⓘ Roger Godement ⓘ Samuel Eilenberg ⓘ Serge Lang ⓘ |
| hasPart |
treatise on Lie groups and Lie algebras
ⓘ
treatise on algebra ⓘ treatise on commutative algebra ⓘ treatise on functions of a real variable ⓘ treatise on integration ⓘ treatise on set theory ⓘ treatise on spectral theory ⓘ treatise on topology ⓘ |
| hasPseudonymousAuthorName | Nicolas Bourbaki ⓘ |
| hasPublicationForm | multi-volume series ⓘ |
| inception |
1930s
ⓘ
1935 ⓘ |
| influenced |
functional analysis
ⓘ
mathematical education in France ⓘ modern algebra ⓘ set theory ⓘ structuralist approaches in mathematics ⓘ topology ⓘ |
| knownFor |
abstract style of exposition
ⓘ
axiomatic approach to mathematics ⓘ multi-volume mathematical treatises ⓘ rigorous reformulation of modern mathematics ⓘ |
| namedAfter | Nicolas Bourbaki ⓘ |
| notableWork | Éléments de mathématique ⓘ |
| placeOfOrigin | Paris ⓘ |
| publicationPublisher |
Hermann
ⓘ
Springer ⓘ
surface form:
Springer-Verlag
|
| usesMethod |
axiomatic method
ⓘ
set-theoretic foundations ⓘ structural approach to mathematical objects ⓘ |
| writingLanguage |
English
ⓘ
French ⓘ |
How these facts were elicited
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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.
Subject: Bourbaki school of mathematics Description of subject: The Bourbaki school of mathematics is a collective pseudonymous group of mainly French mathematicians known for their rigorous, abstract, and axiomatic reformulation of modern mathematics through influential multi-volume treatises.
Referenced by (11)
Full triples — surface form annotated when it differs from this entity's canonical label.