Animated Logical Graphs • 11

Re: Richard CoyneInside Out Logic

Venn diagrams make for very iconic representations of their universes of discourse.  That is one of the main sources of their intuitive utility and also the main source of their logical limitations — they begin to exceed our human capacity for visualization once we climb to four or five circles (Boolean variables) or so.

Peirce’s logical graphs at the Alpha level, as interpreted for propositional calculus, are iconic in certain respects but far less so than Venn diagrams.  They are more properly understood as symbolic representations, in a way that exceeds the logical capacities of icons.  That is the source of their considerably greater power as a symbolic calculus.


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.

3 Responses to Animated Logical Graphs • 11

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

  2. Pingback: Survey of Animated Logical Graphs • 3 | Inquiry Into Inquiry

  3. Pingback: Survey of Animated Logical Graphs • 4 | Inquiry Into Inquiry

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