For the notation , Say Does denote all element of ? Take a different example: Say Does denote only some element of ? How do you decide whether it's some or all ?
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By itself, the statement is meaningless. However, the statement does make sense. Implications such as this only make sense with universal quantifiers.
Originally Posted by novice For the notation , Say Does denote all element of ? Take a different example: Say Does denote only some element of ? How do you decide whether it's some or all ? The set of all elements in is The set is the set of all belonging to but not to . Now what is the question?
Originally Posted by icemanfan By itself, the statement is meaningless. It is not meaningless. It says "If x is in A then x is in A union B". That is perfectly good well formed English sentence. And it is true.
Last edited by Plato; February 18th 2010 at 02:26 PM.
Originally Posted by Plato The set of all elements in is The set is the set of all belonging to but not to . Now what is the question? Plato, You have answered my question pointedly by showing the set builder notation. Thanks.
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