Infinitude
E740680
Infinitude is a philosophical and mathematical concept referring to the quality or state of being infinite, without any limit or end.
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical concept
ⓘ
philosophical concept ⓘ |
| appliesTo |
processes
ⓘ
sequences ⓘ sets ⓘ space ⓘ time ⓘ |
| canBeAttributedTo |
divine beings (in some theological doctrines)
ⓘ
the universe (in some cosmological models) ⓘ |
| contrastedWith | Finitude ⓘ |
| distinguishedFrom | very large but finite quantities ⓘ |
| expressedBy | the symbol ∞ in mathematics ⓘ |
| fieldOfUse |
Mathematics
ⓘ
Philosophy ⓘ |
| formalizedIn |
limit concepts in calculus
ⓘ
set-theoretic definitions of infinite sets ⓘ |
| hasAspect |
actual infinity
ⓘ
potential infinity ⓘ |
| hasDefinition |
the condition of having no limit or end
ⓘ
the quality or state of being infinite ⓘ |
| hasHistoricalDiscussionBy |
Aristotle
NERFINISHED
ⓘ
Georg Cantor NERFINISHED ⓘ |
| hasLogicalForm |
endless extension
ⓘ
unbounded quantity ⓘ |
| hasPhilosophicalIssue |
nature of the infinite
ⓘ
paradoxes of infinity ⓘ |
| hasProperty |
cannot be enumerated completely in finite time
ⓘ
lacks a finite bound ⓘ |
| hasType |
cardinal infinitude
ⓘ
ordinal infinitude ⓘ qualitative infinitude ⓘ spatial infinitude ⓘ temporal infinitude ⓘ |
| involvesConcept |
absence of terminal point
ⓘ
non-finiteness ⓘ unending continuation ⓘ |
| relatedTo |
Boundlessness
ⓘ
Infinity ⓘ Unboundedness ⓘ |
| studiedIn |
mathematical analysis
ⓘ
metaphysics ⓘ ontology ⓘ set theory ⓘ |
| usedInArgument |
Zeno's paradoxes
NERFINISHED
ⓘ
cosmological arguments ⓘ ontological arguments ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject surface form:
Infinitude