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In mathematics, specifically set theory, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states:
History, Arguments for and against the continuum hypothesis & Independence from ZFC
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continuum hypothesis ch displaystyle set zfc aleph theory infinite cardinality axiom numbers sets proof gödel independence axioms integers consistent cardinal
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Continuum hypothesis | is a | special case for the ordinal α | 0.90 | text |
| the set of integers or rational numbers | instance of | despite the sets themselves containing different elements.With infinite sets | 0.80 | text |
| the existence of a bijection between two sets becomes more difficult to demonstrate | instance of | despite the sets themselves containing different elements.With infinite sets | 0.80 | text |
| Continuum hypothesis | related to Cardinality of infinite sets | Two | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | Intuitively | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | Hence | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | With | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | The | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | However | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | Perhaps | 0.60 | section |
| Continuum hypothesis | related to Cardinality of infinite sets | In | 0.60 | section |
| Continuum hypothesis | related to External links | Wiktionary-logo-en-v2 | 0.60 | section |
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