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<p>The larger and longer-term index sets, typically having the form <math>J \subseteq \mathbb{N} = \{ 1, 2, 3, \ldots \},\!</math> are used to enumerate families of objects that enjoy a more abiding reference throughout the course of a discussion.</p></li></ol>
 
<p>The larger and longer-term index sets, typically having the form <math>J \subseteq \mathbb{N} = \{ 1, 2, 3, \ldots \},\!</math> are used to enumerate families of objects that enjoy a more abiding reference throughout the course of a discussion.</p></li></ol>
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'''Definition.'''  An ''indicated set'' <math>j \widehat{~} S\!</math> is an ordered pair <math>j \widehat{~} S = (j, S),\!</math> where <math>j \in J\!</math> is the indicator of the set and <math>S\!</math> is the set indicated.
    
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Definition.  An "indicated set" j^S is an ordered pair j^S = <j, S>, where j C J is the indicator of the set and S is the set indicated.
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Definition.  An "indited set" j^S extends the incidental and extraneous indication of a set into a constant indictment of its entire membership.
 
Definition.  An "indited set" j^S extends the incidental and extraneous indication of a set into a constant indictment of its entire membership.
  
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