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Inaccessible cardinal
Inaccessible cardinal In set theory, an uncountable cardinal number κ is called weakly inaccessible if the following two conditions hold. cf ... where cf denotes the cofinality. Such a cardinal is called a regular cardinal. There ...
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Talk:Inaccessible cardinal
Talk:Inaccessible cardinal Anonymous Coward: Hey, it sure seems to ... aleph-null fits the description of an inaccessible cardinal. Am I missing something? No. |
Talk:Strongly inaccessible cardinal
Talk:Strongly inaccessible cardinal Rename or merge By default, "inaccessible" means "strongly inaccessible". This page should be moved to "Inaccessible cardinal", and the latter should be ...
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Limit cardinal
Limit cardinal In mathematics, limit cardinals are a type of cardinal number. With the cardinal successor operation defined, we can define a limit cardinal in analogy to that for limit ordinals: λ is a (weak) limit cardinal if λ is not a successor ...
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Mahlo cardinal
Mahlo cardinal In mathematics, a Mahlo cardinal is a certain kind of large cardinal number. Formally, a cardinal number κ is called Mahlo iff the set U = {λ < κ: λ is inaccessible} is stationary in κ. Assuming that ...
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Talk:Cardinal
Talk:Cardinal The consistency of the existence of strongly inaccessible cardinals can not be proved under ZFC ... correct? I thought the existence of strongly inaccessible cardinals can (provably) not be proved, while ... the consistency of the existence of strongly inaccessible cardinals" has not yet been proved while ... rank less than that of an inacc. cardinal form a model of ZFC). Incidentally, ...
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Regular cardinal
Regular cardinal An infinite cardinal number κ is called regular if cf ... smaller cardinals. If we demand a regular cardinal be also an uncountable limit cardinal, we get a weakly inaccessible cardinal (ℵ 0 is a regular ...
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Measurable cardinal
Measurable cardinal In mathematics, a measurable cardinal is a certain kind of large cardinal number. Formally, a measurable cardinal is a cardinal number κ such that there exists ...
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Large cardinal property
Large cardinal property For a list of examples, see list of large cardinal properties. In the mathematical field of set theory, a large cardinal property is a property of cardinal numbers, such that the existence of such a cardinal provably cannot be proved within the ...
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Talk:Cardinal number
Talk:Cardinal number Older discussion Summarising: The original assertion ... by AxelBoldt. The page has moved from Cardinal to Cardinal number. --- Someone should explain what the following types of cardinals are: inaccessible, Mahlo, indescribable, ineffable, partition, Ramsey, measurable, strongly ... I think we want it for all cardinal numbers n. --AxelBoldt 19:15, August ...
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