Foundations of Set Theory (with Andrey Kolmogorov)
E173183
"Foundations of Set Theory" is a classic 20th-century mathematical text co-authored by Pavel Alexandrov and Andrey Kolmogorov that systematically develops the basic concepts and axioms of set theory.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Foundations of Set Theory | 1 |
| Foundations of Set Theory (with Andrey Kolmogorov) canonical | 1 |
Statements (40)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
set theory book ⓘ textbook ⓘ |
| aim | systematic development of basic set-theoretic concepts ⓘ |
| approach | axiomatic method ⓘ |
| associatedWith |
Moscow school of mathematics
ⓘ
surface form:
Moscow mathematical school
|
| author |
Andrei Kolmogorov
ⓘ
surface form:
Andrey Kolmogorov
Pavel Alexandrov ⓘ |
| coAuthorWith |
Andrei Kolmogorov
ⓘ
surface form:
Andrey Kolmogorov
Pavel Alexandrov ⓘ |
| countryOfOrigin | Soviet Union ⓘ |
| covers |
Zermelo–Fraenkel-style axioms of set theory
ⓘ
operations on sets ⓘ set-theoretic constructions used in analysis ⓘ |
| educationalUse | introduction to modern set theory ⓘ |
| field |
mathematical logic
ⓘ
set theory ⓘ |
| genre | mathematics textbook ⓘ |
| hasForm | printed book ⓘ |
| hasInfluenceOn | Soviet-era curricula in analysis and topology ⓘ |
| influencedBy | early 20th-century axiomatic set theory ⓘ |
| intendedAudience |
students of mathematics
ⓘ
teachers of mathematics ⓘ |
| language | Russian ⓘ |
| notableFor |
clear exposition of elementary set theory
ⓘ
influence on teaching of set theory in the Soviet Union ⓘ |
| originalTitle | Основы теории множеств ⓘ |
| pedagogicalLevel |
beginning graduate
ⓘ
undergraduate ⓘ |
| publicationCentury | 20th century ⓘ |
| structure | systematic, axiomatic presentation ⓘ |
| topic |
axiomatic set theory
ⓘ
basic concepts of set theory ⓘ cardinal numbers ⓘ cardinality ⓘ infinite sets ⓘ ordinal numbers ⓘ relations and functions ⓘ sets and subsets ⓘ |
| usedAs | university textbook ⓘ |
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Abraham Fraenkel
this entity surface form:
Foundations of Set Theory