[CG] Re: Logical Graphs • First Impressions

Logical Graphs • First Impressions 6 • https://inquiryintoinquiry.com/2023/08/24/logical-graphs-first-impressions/ Duality : Logical and Topological (concl.) — We have now treated in some detail various forms of the axiom or initial equation which is formulated in string form as “( ( ) ) = ”. For the sake of comparison, let's record the planar and dual forms of the axiom which is formulated in string form as “( )( ) = ( )”. First the plane-embedded maps: Logical Graph • Initial Equation I₁ • https://inquiryintoinquiry.files.wordpress.com/2023/08/logical-graph-arithm… Next the plane maps and their dual trees superimposed: Initial Equation I₁ • Planar Graphs Overlaid By Dual Trees • https://inquiryintoinquiry.files.wordpress.com/2023/09/logical-graph-i1-pla… Finally the rooted trees by themselves: Initial Equation I₁ • Dual Trees • https://inquiryintoinquiry.files.wordpress.com/2023/09/logical-graph-i1-tre… And here are the parse trees with their traversal strings indicated: Initial Equation I₁ • Dual Trees With Parentheses • https://inquiryintoinquiry.files.wordpress.com/2023/09/logical-graph-i1-tre… We have at this point enough material to begin thinking about the forms of analogy, iconicity, metaphor, morphism, whatever we may call them, which bear on the use of logical graphs in their various incarnations, for example, those Peirce described as “entitative graphs” and “existential graphs”. Regards, Jon cc: https://www.academia.edu/community/5wpONV cc: https://mathstodon.xyz/@Inquiry/110945139629369891