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Unformatted text preview: are likely to construct will not encounter this problem. 2.2.1 Basic Set Constructors We describe set constructors which build new sets from old. In each case. the resulting sets can be assumed to be welldeFned as long as the original sets are welldeFned. D EFINITION 2.5 (C OMBINING SETS ) Let A and B be any sets. We may construct the following sets: Set Union A B = { x : x A x B } Set Intersection A B = { x : x A x B } Difference AB = { x : x A x B } Symmetric difference A B = ( AB ) ( BA ) 1 A colloquial rendition of this paradox is: In a certain town, Kevin the barber shaves all those and only those who do not shave themselves. Who shaves the barber? The riddle has no good answer. 7...
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This note was uploaded on 01/02/2010 for the course MATH Math2009 taught by Professor Koskesh during the Spring '09 term at SUNY Empire State.
 Spring '09
 Koskesh
 Math, Sets

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