aleph number oor Masedonies

aleph number

naamwoord
en
(set theory) Any of a sequence of numbers used to represent the cardinality of infinite sets, denoted by the Hebrew letter aleph.

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Алеф-број

en
sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered
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The aleph numbers differ from the infinity (∞) commonly found in algebra and calculus.
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The continuum hypothesis states that there are no intermediate cardinal numbers between aleph-null and the cardinality of the continuum (the set of real numbers): that is to say, aleph-one is the cardinality of the set of real numbers.
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Alephs measure the sizes of sets; infinity, on the other hand, is commonly defined as an extreme limit of the real number line (applied to a function or sequence that "diverges to infinity" or "increases without bound"), or an extreme point of the extended real number line.
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