Unformatted text preview: ; is the empty set± it has no elements. The set f;g has exactly one element, the empty set. You must make that distinction. So ; ± f 1 ; 2 ; 3 g , because every element of ; is an element of f 1 ; 2 ; 3 g , but it²s not true that f;g ± f 1 ; 2 ; 3 g because ; 6 = 1 and ; 6 = 2 and ; 6 = 3 . You also have to make the distinction between (1 ; 3) , which is an ordered pair, and f 1 ; 3 g , which is a set. The set f 1 ; 3 g is an element of 2 f 1 ; 2 ; 3 g while the ordered pair (1 ; 3) is an element of f 1 ; 2 g ² f 3 ; 4 ; 5 g . 1...
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 Spring '08
 STAFF
 Set Theory, Empty set

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