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Axiom of Comprehension


An axiom schema of set theory which states: if P(x) is a property then x : P is a set. I.e. all the things with some property form a set. Acceptance of this axiom leads to Russell' s Paradox which is why Zermelo set theory replaces it with a restricted form. (1995-03-31)

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[ = ] [ ad ] [ al ] [ am ] [ an ] [ ar ] [ arc ] [ at ] [ axiom ] [ cc ] [ ch ] [ do ] [ du ] [ ed ] [ er ] [ es ] [ et ] [ fi ] [ file ] [ fo ] [ for ] [ gs ] [ h ] [ hing ] [ hr ] [ id ] [ il ] [ in ] [ io ] [ is ] [ it ] [ la ] [ Lex ] [ ma ] [ mo ] [ mod ] [ module ] [ na ] [ nc ] [ ng ] [ om ] [ op ] [ Paradox ] [ pe ] [ ph ] [ pl ] [ pr ] [ pt ] [ query ] [ rc ] [ re ] [ ro ] [ Russell ] [ Russell' s Paradox ] [ sc ] [ se ] [ set ] [ set theory ] [ so ] [ st ] [ state ] [ strict ] [ th ] [ theory ] [ to ] [ tr ] [ us ] [ Z ] [ Zermelo set theory ]






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