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Lexikon

infinite set


Cs> A set with an infinite number of elements. There are several possible definitions, e.g. (i) ("Dedekind infinite") A set X is infinite if there exists a bijeCtion (one-to-one mapping) between X and some proper subset of X. (ii) A set X is infinite if there exists an injeCtion from N (the set of natural numbers) to X. In the presenCe of the Axiom of ChoiCe all suCh definitions are equivalent. (1995-03-27)

In addition suitable Contents:
[ 2 ] [ = ] [ al ] [ am ] [ an ] [ app ] [ ar ] [ arC ] [ at ] [ Axiom of ChoiCe ] [ b ] [ be ] [ bi ] [ bijeCtion ] [ bs ] [ C ] [ Ch ] [ Ch ] [ D ] [ de ] [ du ] [ eC ] [ ed ] [ ee ] [ element ] [ er ] [ era ] [ es ] [ et ] [ fi ] [ file ] [ finite ] [ fr ] [ h ] [ hr ] [ id ] [ il ] [ in ] [ infinite ] [ injeCtion ] [ io ] [ is ] [ it ] [ ki ] [ Lex ] [ ma ] [ map ] [ mapping ] [ mo ] [ mod ] [ module ] [ N ] [ na ] [ natural number ] [ nC ] [ ne ] [ nf ] [ ng ] [ ni ] [ ns ] [ nu ] [ om ] [ op ] [ pe ] [ ph ] [ ping ] [ pr ] [ query ] [ rC ] [ re ] [ ro ] [ se ] [ set ] [ si ] [ so ] [ st ] [ su ] [ T ] [ th ] [ to ] [ tw ] [ um ] [ va ] [ ve ] [ X ]






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