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Difino
| • | This page is a list of some types of cardinals; it is arranged in order of the consistency strength of the axiom asserting the existence of cardinals with the given property. Existence of a cardinal number κ of a given type implies the existence of cardinals of most of the types listed above that type, and for most listed cardinal descriptions φ of lesser consistency strength, V(κ) satisfies "there are unboundedly many cardinals satisfying φ".
· "Small" cardinals: 0, 1, 2, ..., ℵ0, ℵ1,..., κ = ℵκ, ...
Source: [wikipedia: list of large cardinal properties]
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