Concept
Cantor's theorem
Overview
in set theory, the theorem that a set has a strictly smaller cardinality than its powerset
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Related ideas
- Finite set
- Georg Cantor
- Infinite set
- Integer
- Negation
- Ernst Zermelo
- Real number
- Natural number
- Reductio ad absurdum
- Power set
- Set (mathematics)
- Set theory
- Subset
- Zermelo set theory
- Singleton (mathematics)
- Bijection
- Bertrand Russell
- Russell's paradox
- Philosophy of mathematics
- Gottlob Frege
- Alonzo Church
- Cantor's diagonal argument
- Axiom schema of specification
- Countable set
Place in the tradition
Part of Metalogic.