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# denumerable set

conjunto numerable

English-Spanish mathematics dictionary. . 1964.

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• 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 — [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 — adjective 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… …   Wiktionary

• set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   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 — /dəˈnjumərəbəl/ (say duh nyoohmuhruhbuhl) adjective Mathematics (of a set) finite or countable …   Australian English dictionary

• denumerable — adj. Math. countable by correspondence with the infinite set of integers. Derivatives: denumerability n. denumerably adv. Etymology: LL denumerare (as DE , numerare NUMBER) …   Useful english dictionary

• Countable set — Countable redirects here. For the linguistic concept, see Count noun. Not to be confused with (recursively) enumerable sets. In mathematics, a countable set is a set with the same cardinality (number of elements) as some subset of the set of… …   Wikipedia

• Dedekind-infinite set — In mathematics, a set A is Dedekind infinite if some proper subset B of A is equinumerous to A. Explicitly, this means that there is a bijective function from A onto some proper subset B of A. A set is Dedekind finite if it is not Dedekind… …   Wikipedia

• infinite set — (or collection or number) See denumerable/non denumerable …   Philosophy dictionary

• Skolem paradox — Leopold Löwenheim (1878–1948) in 1915 and Thoralf Skolem (1887–1963) in 1920 showed that any denumerable set of sentences that has a model has a denumerably infinite model. The theory of real numbers can be axiomatized as a theory with a… …   Philosophy dictionary