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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.
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|   | =====1.3.12.1.  Syntactic Transformation Rules=====  |   | =====1.3.12.1.  Syntactic Transformation Rules=====  |