limit aleph

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• Aleph number — In the branch of mathematics known as set theory, the aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets. They are named after the symbol used to denote them, the Hebrew letter aleph (aleph).The… …   Wikipedia

• 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 and only if λ is neither a… …   Wikipedia

• Regular cardinal — In set theory, a regular cardinal is a cardinal number that is equal to its own cofinality. So, crudely speaking, a regular cardinal is one which cannot be broken into a smaller collection of smaller parts.(The situation is slightly more… …   Wikipedia

• Beth number — In mathematics, the infinite cardinal numbers are represented by the Hebrew letter aleph (aleph) indexed with a subscript that runs over the ordinal numbers (see aleph number). The second Hebrew letter eth (beth) is used in a related way, but… …   Wikipedia

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• Transfinite number — Transfinite numbers are cardinal numbers or ordinal numbers that are larger than all finite numbers, yet not necessarily absolutely infinite. The term transfinite was coined by Georg Cantor, who wished to avoid some of the implications of the… …   Wikipedia

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