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Math Help - Conjunction, Disjunction

  1. #1
    Senior Member DivideBy0's Avatar
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    Conjunction, Disjunction

    What's the difference between \cap and \wedge, or \cup and \vee?

    So far I've interpreted \wedge and \vee as being used more in sentence structure, rather than for instance showing properties of sets. For instance would this be right?
    A=\lbrace 2,4,6 \rbrace \wedge B=\lbrace 4,5,6 \rbrace \implies A \cap B = \lbrace 4,6 \rbrace
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  2. #2
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    Quote Originally Posted by DivideBy0 View Post
    What's the difference between \cap and \wedge, or \cup and \vee?
    The first of each pair is use in mathematical set theory.
    The second has been used in traditional logic.
    In fact, as a pair they denote the same concept.

    Intersection implies being in both sets, AND.
    Union imlpies being in at least one of the sets, OR.
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