infinity
E1008369
Infinity is a mathematical and philosophical concept denoting an unbounded quantity that is larger than any finite number or limit.
Observed surface forms (1)
| Surface form | Occurrences |
|---|---|
| Infinity | 0 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
abstract concept
ⓘ
mathematical concept ⓘ philosophical concept ⓘ |
| alsoKnownAs | the infinite ⓘ |
| appearsIn |
cardinal arithmetic
ⓘ
improper integrals ⓘ infinite series ⓘ limits of functions ⓘ ordinal arithmetic ⓘ |
| contrastedWith |
finite number
ⓘ
finitude ⓘ |
| formalizedBy |
calculus
ⓘ
measure theory ⓘ model theory ⓘ set theory ⓘ topology ⓘ |
| hasConcept |
aleph-null
ⓘ
continuum cardinality ⓘ countable infinity ⓘ uncountable infinity ⓘ |
| hasDefinition | an unbounded quantity that is larger than any finite number or limit ⓘ |
| hasLogicalRole | used in quantification over infinite domains ⓘ |
| hasPhilosophicalIssue |
Zeno's paradoxes
NERFINISHED
ⓘ
actual existence of infinite totalities ⓘ paradoxes of the infinite ⓘ |
| hasProperty |
can appear as an extended real number
ⓘ
can represent divergence of a sequence or series ⓘ larger than any natural number ⓘ not a real number in the usual number system ⓘ |
| hasRepresentation |
infinite sequences
ⓘ
infinite sets ⓘ unbounded intervals ⓘ |
| hasTheologicalAspect |
God's omnipotence
ⓘ
God's omniscience ⓘ divine infinity ⓘ |
| hasType |
actual infinity
ⓘ
potential infinity ⓘ |
| relatedTo |
cardinality
ⓘ
continuum ⓘ limit ⓘ transfinite numbers ⓘ unboundedness ⓘ |
| studiedBy | Georg Cantor NERFINISHED ⓘ |
| symbolizedBy | ∞ ⓘ |
| usedInField |
cosmology
ⓘ
mathematics ⓘ philosophy ⓘ physics ⓘ theology ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.