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By way of a first definition, a '''higher order sign relation''' is a sign relation, some of whose signs are '''higher order signs'''.  If an extra degree of precision is needed, higher order signs can be distinguished in a variety of different ''species'' or ''types'', to be taken up next.
 
By way of a first definition, a '''higher order sign relation''' is a sign relation, some of whose signs are '''higher order signs'''.  If an extra degree of precision is needed, higher order signs can be distinguished in a variety of different ''species'' or ''types'', to be taken up next.
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In devising a nomenclature for the required species of higher order signs, it is a good idea to generalize slightly, designing an analytic terminology that can be adapted to classify the higher order signs of arbitrary relations, not just the higher order signs of sign relations.  The work of developing a more powerful vocabulary can be put to good account at a later stage of this project, when it is necessary to discuss the structural constituents of arbitrary relations and to reflect on the language that is used to discuss them.  However, by way of making a gradual approach, it nonetheless helps to take up the classification of higher order signs in a couple of passes, first considering the categories of higher order signs as they apply to sign relations and then discussing how the same ideas are relevant to arbitrary relations.
    
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<pre>
In devising a nomenclature for the required species of HO signs, it is a good idea to generalize slightly, designing an analytic terminology that can be adapted to classify the HO signs of arbitrary relations, not just the HO signs of sign relations.  The work of developing a more powerful vocabulary can be put to good account at a later stage of this project, when it is necessary to discuss the structural constituents of arbitrary relations and to reflect on the language that is used to discuss them.  However, by way of making a gradual approach, it still helps to take up the classification of HO signs in a couple of passes, first considering the categories of HO signs as they apply to sign relations and then discussing how the same ideas are relevant to arbitrary relations.
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Here are the species of HO signs that can be used to discuss the structural constituents and intensional genera of sign relations:
 
Here are the species of HO signs that can be used to discuss the structural constituents and intensional genera of sign relations:
  
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