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cardinalities

  • plural
    of cardinality.
    cardinality
    noun
    (of a set) the cardinal number indicating the number of elements in the set.

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Even if that remains a mystery, it has long been known that there are sets with much larger cardinalities than that of the set of real numbers—even though the real numbers are themselves infinite.

From Scientific American ● Jul. 13, 2023

The diagram thus comprises 12 uncountable cardinalities of which no more than 10 can be simultaneously different.

From Scientific American ● Aug. 16, 2021

For example, in addition to the cardinal numbers described here, many other infinite cardinalities lying between ℵ1 and the continuum have been discovered since the 1940s.

From Scientific American ● Aug. 16, 2021

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