The Foundations of Geometry
E255570
The Foundations of Geometry is a seminal mathematical text by Oswald Veblen that rigorously develops the axiomatic basis of geometry in a modern, logical framework.
All labels observed (1)
| Label | Occurrences |
|---|---|
| The Foundations of Geometry canonical | 1 |
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
geometry textbook
ⓘ
mathematics book ⓘ non‑fiction book ⓘ |
| academicDiscipline | pure mathematics ⓘ |
| aim | to provide a rigorous axiomatic basis for geometry ⓘ |
| author | Oswald Veblen ⓘ |
| bibliographicCategory | monograph ⓘ |
| countryOfOrigin |
United States of America
ⓘ
surface form:
United States
|
| field |
axiomatic set theory
ⓘ
geometry ⓘ mathematical logic ⓘ |
| hasEdition | reprinted editions in the 20th century ⓘ |
| hasInfluenced |
modern treatments of axiomatic geometry
ⓘ
research in mathematical logic and foundations ⓘ |
| hasPart |
system of axioms for congruence
ⓘ
system of axioms for continuity ⓘ system of axioms for incidence ⓘ system of axioms for order ⓘ system of axioms for parallels ⓘ |
| influencedBy |
David Hilbert
ⓘ
Euclid ⓘ Giuseppe Peano ⓘ |
| language | English ⓘ |
| mainConcept |
logical derivation of geometric theorems from axioms
ⓘ
primitive geometric notions such as point and line ⓘ |
| notableFor |
influence on 20th‑century foundations of mathematics
ⓘ
modern axiomatic treatment of geometric concepts ⓘ rigorous logical development of geometry ⓘ |
| publicationYear | 1904 ⓘ |
| publisher | Cambridge University Press ⓘ |
| relatedWork |
Grundlagen der Geometrie
ⓘ
surface form:
Foundations of Geometry by David Hilbert
|
| structure | organized into axioms theorems and proofs ⓘ |
| subject |
affine geometry
ⓘ
axiomatic foundations of geometry ⓘ logical foundations of mathematics ⓘ metric geometry ⓘ projective geometry ⓘ |
| targetAudience |
advanced students of mathematics
ⓘ
mathematical researchers ⓘ |
| timePeriod | early 20th century ⓘ |
| uses |
axiomatic method
ⓘ
symbolic logic ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.