Éléments de mathématique¶
Bourbaki, N. (1939). Éléments de mathématique.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Abstraction
This sourceStructuralist program organizing mathematics around shared abstract 'structures' (sets, groups, rings, topologies).
- Set and Membership
- The Bourbaki collective's
This sourceMulti-volume series. Paris: Hermann, from 1939 onwards (Fascicule I: Théorie des ensembles, 1939; subsequent fascicules on algebra, topology, integration, etc.). Pseudonymous collective authorship; provided the systematic set-theoretic foundation for twentieth-century pure mathematics.
- The Bourbaki collective's
- Well-Foundedness (Well-Ordering)
- These six components compose: a carrier is presented; a strict relation is identified; the well-foundedness condition is verified (or assumed as an axiom); the rank function supplies the ordinal-valued measure; totality may or may not be added; and the use drives the downstream argument — a compositional packaging that Bourbaki (1939) makes explicit in their axiomatic treatment of noetherian (well-founded) induction.
This sourceLong-running mathematical treatise developing the Bourbaki program: abstraction of mathematics into universal structures (sets, groups, rings, topologies, etc.) — a deliberate project to identify the most general structural patterns. Exemplifies systematic abstraction in mathematics.
- These six components compose: a carrier is presented; a strict relation is identified; the well-foundedness condition is verified (or assumed as an axiom); the rank function supplies the ordinal-valued measure; totality may or may not be added; and the use drives the downstream argument — a compositional packaging that Bourbaki (1939) makes explicit in their axiomatic treatment of noetherian (well-founded) induction.
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