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====1.3.12.  Syntactic Transformations====
 
====1.3.12.  Syntactic Transformations====
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We have been examining several distinct but closely related notions of ''indication''.  To discuss the import of these ideas in greater depth, it serves to establish a number of logical relations and set-theoretic identities that can be found to hold among their roughly parallel arrays of conceptions and constructions.  Facilitating this task requires in turn a number of auxiliary concepts and notations.
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The diverse notions of indication presently under discussion are expressed in a variety of different notations, enumerated as follows:
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# The functional language of propositions
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# The logical language of sentences
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# The geometric language of sets
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Correspondingly, one way to explain the relationships that exist among the various notions of indication is to describe the translations that they induce among the associated families of notation.
      
=====1.3.12.1.  Syntactic Transformation Rules=====
 
=====1.3.12.1.  Syntactic Transformation Rules=====
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