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- Aleph_number abstract "In set theory, a discipline within mathematics, 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 .The cardinality of the natural numbers is (read aleph-naught, aleph-null, or aleph-zero), the next larger cardinality is aleph-one , then and so on. Continuing in this manner, it is possible to define a cardinal number for every ordinal number α, as described below.The concept goes back to Georg Cantor, who defined the notion of cardinality and realized that infinite sets can have different cardinalities.The aleph numbers differ from the infinity (∞) commonly found in algebra and calculus. 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.".
- Aleph_number thumbnail Aleph0.svg?width=300.
- Aleph_number wikiPageID "293961".
- Aleph_number wikiPageRevisionID "588933942".
- Aleph_number hasPhotoCollection Aleph_number.
- Aleph_number id "p/a011280".
- Aleph_number title "Aleph-0".
- Aleph_number title "Aleph-zero".
- Aleph_number urlname "Aleph-0".
- Aleph_number subject Category:Cardinal_numbers.
- Aleph_number subject Category:Infinity.
- Aleph_number type Abstraction100002137.
- Aleph_number type CardinalNumber113597585.
- Aleph_number type CardinalNumbers.
- Aleph_number type DefiniteQuantity113576101.
- Aleph_number type Measure100033615.
- Aleph_number type Number113582013.
- Aleph_number comment "In set theory, a discipline within mathematics, 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 .The cardinality of the natural numbers is (read aleph-naught, aleph-null, or aleph-zero), the next larger cardinality is aleph-one , then and so on.".
- Aleph_number label "Alef-getal".
- Aleph_number label "Aleph (nombre)".
- Aleph_number label "Aleph number".
- Aleph_number label "Aleph-Funktion".
- Aleph_number label "Número aleph".
- Aleph_number label "Skala alefów".
- Aleph_number label "Álef (cardinales)".
- Aleph_number label "艾禮富數".
- Aleph_number sameAs Funkce_alef.
- Aleph_number sameAs Aleph-Funktion.
- Aleph_number sameAs Álef_(cardinales).
- Aleph_number sameAs Aleph_(nombre).
- Aleph_number sameAs 알레프_수.
- Aleph_number sameAs Alef-getal.
- Aleph_number sameAs Skala_alefów.
- Aleph_number sameAs Número_aleph.
- Aleph_number sameAs m.01qz72.
- Aleph_number sameAs Mx4rvgw0fZwpEbGdrcN5Y29ycA.
- Aleph_number sameAs Q908627.
- Aleph_number sameAs Q908627.
- Aleph_number sameAs Aleph_number.
- Aleph_number wasDerivedFrom Aleph_number?oldid=588933942.
- Aleph_number depiction Aleph0.svg.
- Aleph_number isPrimaryTopicOf Aleph_number.