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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

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

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

From Scientific American Aug. 16, 2021

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