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14 bytes added ,  19:42, 13 August 2008
→‎Duality : logical and topological: modify description of root nodes & sub [them/it]{agreement}
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<p>[[Image:Logical_Graph_Figure_4.jpg|center]]</p>
 
<p>[[Image:Logical_Graph_Figure_4.jpg|center]]</p>
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Though it's not really there in the most abstract topology of the matter, for all sorts of pragmatic reasons we find ourselves almost compelled to single out the outermost region of the plane in a distinctive way and to mark it as the ''[[root node]]'' of the corresponding [[dual graph]], indicated in the above Figure by the ''amphora'' or ''at'' sign, "@".
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Though it's not really there in the most abstract topology of the matter, for all sorts of pragmatic reasons we find ourselves compelled to single out the outermost region of the plane in a distinctive way and to mark it as the ''[[root node]]'' of the corresponding [[dual graph]].  In the present style of Figure the root nodes are marked by horizontal strike-throughs.
    
Extracting the dual graph from its composite matrix, we get this picture:
 
Extracting the dual graph from its composite matrix, we get this picture:
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<p>[[Image:Logical_Graph_Figure_10.jpg|center]]</p>
 
<p>[[Image:Logical_Graph_Figure_10.jpg|center]]</p>
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We have at this point enough material to begin thinking about the forms of [[analogy]], [[iconicity]], [[metaphor]], [[morphism]], whatever you want to call it, that are pertinent to the use of logical graphs in their various logical interpretations, for instance, those that Peirce described as ''[[entitative graph]]s'' and ''[[existential graph]]s''.
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We have at this point enough material to begin thinking about the forms of [[analogy]], [[iconicity]], [[metaphor]], [[morphism]], whatever you want to call them, that are pertinent to the use of logical graphs in their various logical interpretations, for instance, those that Peirce described as ''[[entitative graph]]s'' and ''[[existential graph]]s''.
    
==Computational representation==
 
==Computational representation==
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