## Animated Logical Graphs • 45

Re: Richard J. LiptonThe Art Of Math
Re: Animated Logical Graphs • (30)

There’s a nice interplay between geometric and logical dualities in C.S. Peirce’s graphical systems of logic, rooted in his discovery of the amphecks $\textsc{nand}$ and $\textsc{nnor}$ and flowering in his logical graphs for propositional and predicate calculus.  Peirce’s logical graphs bear the dual interpretations he dubbed entitative and existential graphs.

Here’s a Table of Boolean Functions on Two Variables, using an extension of Peirce’s graphs from trees to cacti, illustrating the duality so far as it affects propositional calculus.

$\text{Boolean Functions on Two Variables}$

### Resources

cc: Cybernetics Communications (1) (2)FB | Logical Graphs • Ontolog Forum (1) (2)
cc: Peirce List (1) (2) (3) (4) (5) (6) (7) (8) • Structural Modeling (1) (2) • Systems (1) (2)

### 11 Responses to Animated Logical Graphs • 45

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