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单词 cardinal number
释义
cardinal number

Mathematics
  • The number of elements in a set. If two sets can be put in one-to-one correspondence with one another they have the same cardinal number or cardinality. For finite sets the cardinal numbers are 0, 1, 2, 3,…, but infinite sets require new symbols to describe their cardinality. The cardinal number of the natural numbers, integers, and rational numbers is aleph-null. The cardinal number of the real numbers is denoted 𝔠 (for continuum).


Philosophy
  • An object associated with a class of equinumerous sets, that is, sets that may be put into a one-to-one correspondence with each other. Intuitively, the number that measures the size of a set.


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