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alephnull
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The answer ALEPHNULL has 1 possible clue(s) in existing crosswords.
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Possible Crossword Clues |
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Smallest infinite cardinal number |
Last Seen in these Crosswords & Puzzles |
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Jun 2 2017 New York Times |
Alephnull might refer to |
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In mathematics, and in particular set theory, the Aleph numbers are a sequence of numbers used to represent the cardinality (or size) of infinite sets that can be well-ordered. They are named after the symbol used to denote them, the Hebrew letter aleph ( * * * * ℵ * * * {\displaystyle \aleph } * ) (though in older mathematics books the letter aleph is often printed upside down by accident, partly because a Monotype matrix for aleph was mistakenly constructed the wrong way up).The cardinality of the natural numbers is * * * * * ℵ * * 0 * * * * * {\displaystyle \aleph _{0}} * (read aleph-naught or aleph-zero; the German term aleph-null is also sometimes used), the next larger cardinality is aleph-one * * * * * ℵ * * 1 * * * * * {\displaystyle \aleph _{1}} * , then * * * * * ℵ * * 2 * * * * * {\displaystyle \aleph _{2}} * and so on. Continuing in this manner, it is possible to define a cardinal number * * * * * ℵ * * α * * * * * {\displaystyle \aleph _{\alpha }} * for every ordinal number α, as described below. * The concept and notation are due 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. |