Set (in mathematics)

GPTKB entity

Statements (62)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:canBe infinite
finite
empty
gptkbp:containsElement gptkb:set_theory
member
gptkbp:definedIn collection of distinct objects
gptkbp:field gptkb:mathematics
gptkbp:hasAxiom gptkb:von_Neumann–Bernays–Gödel_set_theory
gptkb:Zermelo-Fraenkel_set_theory
gptkbp:hasDefinitionBy gptkb:Georg_Cantor
gptkbp:hasParadox gptkb:Russell's_paradox
gptkbp:hasProperty cardinality
power set
subset
superset
gptkbp:hasSpecialCase empty set
singleton set
gptkbp:hasType power set
multiset
finite set
empty set
infinite set
singleton set
countable set
fuzzy set
uncountable set
ordered set
unordered set
https://www.w3.org/2000/01/rdf-schema#label Set (in mathematics)
gptkbp:introducedIn late 19th century
gptkbp:notation curly braces {}
gptkbp:operator gptkb:intersection
Union
difference
Cartesian product
complement
gptkbp:relatedTo gptkb:software
equivalence relation
element
partition
relation
subset
superset
universal set
gptkbp:studiedIn gptkb:set_theory
gptkbp:symbol S
A
B
C
X
Y
Z
gptkbp:usedIn gptkb:algebra
gptkb:logic
gptkb:probability_theory
gptkb:topology
analysis
computer science
discrete mathematics
gptkbp:bfsParent gptkb:Mengde
gptkbp:bfsLayer 6