Transformations of Logical Graphs • 14

Posted on May 21, 2024 by Jon Awbrey

Semiotic Transformations

Re: Transformations of Logical Graphs • (8) • (9) • (10) • (11) • (12) • (13)

Completing our scan of the Table in Episode 8, the last orbit up for consideration contains the logical graphs for the boolean functions f_{6} and f_{9}.

\text{Interpretive Duality} \stackrel{_\bullet}{} \text{Difference and Equality}

Interpretive Duality • Difference and Equality

The boolean functions f_{6} and f_{9} are known as logical difference and logical equality, respectively.  The values taken by f_{6} and f_{9} for each pair of arguments (x, y) in \mathbb{B} \times \mathbb{B} and the text expressions for their logical graphs are given in the following Table.

Truth Table • Difference and Equality

Resources

cc: FB | Logical Graphs • Laws of Form • Mathstodon • Academia.edu
cc: Conceptual Graphs • Cybernetics • Structural Modeling • Systems Science

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, Interpretive Duality, Laws of Form, Logic, Logical Graphs, Mathematics, Minimal Negation Operators, Model Theory, Painted Cacti, Proof Theory, Propositional Calculus, Propositional Equation Reasoning Systems, Spencer Brown, Visualization and tagged , , , , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

2 Responses to Transformations of Logical Graphs • 14

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