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Turning again to our Table of Orbits let’s see what we can learn about the structure of the sign relational system in view.

We saw in Episode 62 that the transformation group partitions the set of 16 logical graphs and also the set of 16 boolean functions into 10 orbits:  4 orbits of size 1 each and 6 orbits of size 2 each.

Points in singleton orbits are called fixed points of the transformation group since they are left unchanged, or changed into themselves, by all group actions.  Viewed in the frame of the sign relation where the transformations in are literally translations in the linguistic sense, these -invariant graphs have the same denotations in for both Existential Interpreters and Entitative Interpreters.

Resources

• Logic Syllabus
• C.S. Peirce • Logic and Signs
• C.S. Peirce • Logic as Semiotic
• Sign Relation • Triadic Relation
• Survey of Animated Logical Graphs
• Survey of Semiotics, Semiosis, Sign Relations

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