 uncountable set

A set, containing infinite number of elements, whose elements can not be mapped onetoone to the natural numbers. A set with a cardinality greater than that of the set of natural numbers.
Wikipedia foundation.
Wikipedia foundation.
Uncountable set — Uncountable redirects here. For the linguistic concept, see Uncountable noun. In mathematics, an uncountable set is an infinite set that contains too many elements to be countable. The uncountability of a set is closely related to its cardinal… … Wikipedia
Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… … Wikipedia
Set theory — This article is about the branch of mathematics. For musical set theory, see Set theory (music). A Venn diagram illustrating the intersection of two sets. Set theory is the branch of mathematics that studies sets, which are collections of objects … Wikipedia
Set theory of the real line — is an area of mathematics concerned with the application of set theory to aspects of the real numbers. For example, one knows that all countable sets of reals are null, i.e. have Lebesgue measure 0; one might therefore ask the least possible size … Wikipedia
uncountable — 1. noun An uncountable noun. 2. adjective a) So many as to be incapable of being counted. The reasons for our failure were as uncountable as the grains of sand on a beach. b) Incapable of being put into one to one … Wiktionary
SET — See: Securities Exchange of Thailand See: Stock Exchange of Thailand * * * SET SET noun [uncountable] COMPUTING secure electronic transfer a way of buying and paying for goods on the Internet that allows the safe exchange of personal and… … Financial and business terms
setaside — UK / US noun [uncountable] British a) a system in which the European Union pays farmers not to grow crops in particular areas, in order to control prices or the amount of crops grown b) land that is not used for crops according to this system … 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
Luzin set — In real analysis and descriptive set theory, a Luzin set (or Lusin set), named for N. N. Luzin, is an uncountable subset A of the reals such that every uncountable subset of A is nonmeager; that is, of second Baire category. Equivalently, A is an … Wikipedia
Perfect set property — In descriptive set theory, a subset of a Polish space has the perfect set property if it is either countable or has a nonempty perfect subset.As nonempty perfect sets in a Polish space always have the cardinality of the continuum, a set with the… … Wikipedia