Animated Logical Graphs • 23

The following Table will suffice to show how the “streamer-cross” forms C.S. Peirce used in his essay on “Qualitative Logic” and Spencer Brown used in his Laws of Form, as they are extended through successive steps of controlled reflection, translate into syntactic strings and rooted cactus graphs:

\text{Form} \text{String} \text{Graph}
Form (a) \texttt{(} a \texttt{)} Cactus (a)
Form (a,b) \texttt{(} a \texttt{,} b \texttt{)} Cactus (a,b)
Form (a,b,c) \texttt{(} a \texttt{,} b \texttt{,} c \texttt{)} Cactus (a,b,c)

cc: Systems ScienceStructural ModelingOntolog ForumLaws of FormCybernetics

This entry was posted in Amphecks, Animata, Boolean Algebra, Boolean Functions, C.S. Peirce, Cactus Graphs, Constraint Satisfaction Problems, Deduction, Diagrammatic Reasoning, Duality, Equational Inference, Graph Theory, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Peirce, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Theorem Proving, Visualization and tagged , , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

1 Response to Animated Logical Graphs • 23

  1. Pingback: Survey of Animated Logical Graphs • 2 | Inquiry Into Inquiry

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