Cantor's infinity

GPTKB entity

Properties (55)
Predicate Object
gptkbp:instanceOf mathematical concept
gptkbp:competesWith finite numbers
gptkbp:description different sizes of infinity
gptkbp:developedBy gptkb:Georg_Cantor
https://www.w3.org/2000/01/rdf-schema#label Cantor's infinity
gptkbp:includes countable infinity
uncountable infinity
gptkbp:introduced cardinality
gptkbp:isAssociatedWith gptkb:Cantor's_theorem
gptkbp:isAttendedBy gptkb:Cantor_set
power set
infinity symbol
Cantor's_diagonal_argument
gptkbp:isAvenueFor theoretical physics
gptkbp:isChallengedBy intuitionistic logic
philosophical skepticism
constructivist mathematics
gptkbp:isCitedIn mathematical conferences
academic circles
mathematical philosophy
gptkbp:isConnectedTo gptkb:Zermelo-Fraenkel_set_theory
continuum hypothesis
axiomatic set theory
gptkbp:isConsidered a foundational concept
a paradoxical concept
a key concept in mathematics.
gptkbp:isCriticizedFor philosophers
gptkbp:isDiscussedIn mathematical literature
philosophical texts
mathematical seminars
gptkbp:isExaminedBy diagonal argument
gptkbp:isExploredIn academic journals
set operations
infinite series
mathematical logic
philosophy of mathematics
mathematical proofs
gptkbp:isInfluencedBy theoretical computer science
abstract algebra
modern mathematics
gptkbp:isRecognizedFor a groundbreaking concept
gptkbp:isRelatedTo gptkb:Hilbert's_hotel
real numbers
cardinal numbers
topology
measure theory
real analysis
ordinal numbers
gptkbp:isStudiedIn set theory courses
gptkbp:isUsedIn computer science
mathematics
probability theory
quantum_mechanics
gptkbp:keyIssues transfinite numbers
gptkbp:relatedTo set theory