denumerable

denumerable
Capable of being assigned numbers from the natural numbers. Especially applied to sets where finite sets and sets that have a one-to-one mapping to the natural numbers are called denumerable.

The empty set is denumerable because it is finite; the rational numbers are, surprisingly, denumerable because every possible fraction can be assigned a number.


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  • denumerable — adj. that can be counted. Syn: countable, enumerable, numerable. [WordNet 1.5] …   The Collaborative International Dictionary of English

  • denumerable — denumerable/non denumerable …   Philosophy dictionary

  • denumerable — [dē no͞o′mər ə bəl, dēnyo͞o′mər ə bəl] adj. [ DE + NUMERABLE] countable: said of a set, either finite or infinite, whose elements can be put in one to one correspondence with the natural integers …   English World dictionary

  • denumerable/non-denumerable — A denumerable set is one whose cardinality is that of the natural numbers. A set is non denumerable if it is of greater cardinality than this. Cantor s theorem proves the existence of such sets. A finite set is of lesser cardinality than the… …   Philosophy dictionary

  • denumerable — adjective Date: 1902 countable • denumerability noun • denumerably adverb …   New Collegiate Dictionary

  • denumerable — denumerability, n. denumerably, adv. /di nooh meuhr euh beuhl, nyooh /, adj. countable (def. 2b). [1900 05; DE + NUMERABLE] * * * …   Universalium

  • denumerable — [dɪ nju:m(ə)rəb(ə)l] adjective Mathematics able to be counted by one to one correspondence with the set of integers. Derivatives denumerability noun denumerably adverb Origin early 20th cent.: from late L. denumerare count out …   English new terms dictionary

  • denumerable — de·numerable …   English syllables

  • denumerable — de•nu•mer•a•ble [[t]dɪˈnu mər ə bəl, ˈnyu [/t]] adj. math. countable 2), b) • Etymology: 1900–05 de•nu mer•a•bil′i•ty, n. de•nu′mer•a•bly, adv …   From formal English to slang

  • denumerable — /dəˈnjumərəbəl/ (say duh nyoohmuhruhbuhl) adjective Mathematics (of a set) finite or countable …  

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