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replace/augment section with better examples
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== Examples ==
 
== Examples ==
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Let <math>A</math> be the set of all [[prime number]]s, and let <math>B</math> be the set of all [[even number]]s.  What is the intersection, <math>A \cap B</math>?  It is a set containing one element, 2.  Since any even number greater than 2 has two as a proper factor, no even number aside from 2 belongs to <math>A</math>.  However, 2 is a prime number.  Thus, the intersection is <math>\{2\}</math>.
    
There is the set of unborn children who were [[abortion|aborted]], about which striking conclusions can be drawn.  Given the large and diverse number of elements of this set, it would likely include many who could surpass existing athletic and intellectual achievements.  Indeed, many of the world records and [[Nobel Prize]] achievements recognized today would have been outdone by members of this set.
 
There is the set of unborn children who were [[abortion|aborted]], about which striking conclusions can be drawn.  Given the large and diverse number of elements of this set, it would likely include many who could surpass existing athletic and intellectual achievements.  Indeed, many of the world records and [[Nobel Prize]] achievements recognized today would have been outdone by members of this set.
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