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In mathematics, cardinality is an inherent property of sets, roughly meaning the number of individual objects they contain, which may be infinite. The concept is understood through one-to-one correspondences between sets. That is, if their objects can be paired such that each object has a pair, and no object is paired more than once.
History, Countability & Cardinal numbers
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Cardinality | is a | inherent property of sets | 0.90 | text |
| Zermelo | instance of | which has been shown to be both unprovable and undisprovable in standard set theories | 0.80 | text |
| unions | instance of | a cardinal that cannot be approached from below using basic set-theoretic operations | 0.80 | text |
| limits | instance of | a cardinal that cannot be approached from below using basic set-theoretic operations | 0.80 | text |
| and powersets | instance of | a cardinal that cannot be approached from below using basic set-theoretic operations | 0.80 | text |
| Donald A | instance of | its relationship with large cardinals and the continuum hypothesis is still of heavy interest among set theorists | 0.80 | text |
| the pairing between the intervals | instance of | He discussed examples | 0.80 | text |
| Paul Mahlo | instance of | This work was continued and popularized by several other influential set theorists | 0.80 | text |
| Cardinality | related to Aleph numbers | The | 0.60 | section |
| Cardinality | related to Aleph numbers | Hebrew | 0.60 | section |
| Cardinality | related to Aleph numbers | Then | 0.60 | section |
| Cardinality | related to Aleph numbers | Von Neumann | 0.60 | section |
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