[CG] Re: Transformations of Logical Graphs

Transformations of Logical Graphs • 8 • https://inquiryintoinquiry.com/2024/05/12/transformations-of-logical-graphs… Semiotic Transformations — Re: Transformations of Logical Graphs • 2 • https://inquiryintoinquiry.com/2024/05/06/transformations-of-logical-graphs… Turning again to our Table of Orbits let's see what we can learn about the structure of the sign relational system in view. As we saw in Episode 2, the transformation group T = {1, t} partitions the set X of 16 logical graphs and also the set O of 16 boolean functions into 10 orbits, all together amounting to 4 singleton orbits and 6 doubleton orbits. Points in singleton orbits are called “fixed points” of the transformation group T : X → X since they are left unchanged, or changed into themselves, by all group actions. Viewed in the frame of the sign relation L ⊆ O × X × X, where the transformations in T are literally “translations” in the linguistic sense, these “T‑invariant graphs” have the same denotations in O for both Existential Interpreters and Entitative Interpreters. Interpretive Duality as Sign Relation • Orbit Order • https://inquiryintoinquiry.files.wordpress.com/2021/03/peirce-duality-as-si… Resources — Logic Syllabus • https://inquiryintoinquiry.com/logic-syllabus/ Survey of Animated Logical Graphs • https://inquiryintoinquiry.com/2024/03/18/survey-of-animated-logical-graphs… Survey of Semiotics, Semiosis, Sign Relations • https://inquiryintoinquiry.com/2024/01/26/survey-of-semiotics-semiosis-sign… Regards, Jon cc: https://www.academia.edu/community/lPxNme