Transformations of Logical Graphs • 11
•
https://inquiryintoinquiry.com/2024/05/15/transformations-of-logical-graphs…
Semiotic Transformations —
Re: Transformations of Logical Graphs • 8
•
https://inquiryintoinquiry.com/2024/05/12/transformations-of-logical-graphs…
Continuing our scan of the Table in Episode 8, the next two
orbits contain the logical graphs for the boolean functions
f₂, f₁₁, f₄, f₁₃, in that order. A first glance shows the two
orbits have surprisingly intricate structures and relationships
to each other — let's isolate that section for a closer look.
Table 1. Interpretive Duality • Subtractions and Implications
•
https://inquiryintoinquiry.files.wordpress.com/2021/05/peirce-duality-e280a…
• The boolean functions f₂ and f₄ are called “subtraction functions”.
• The boolean functions f₁₁ and f₁₃ are called “implication functions”.
• The logical graphs for f₂ and f₁₁ are dual to each other.
• The logical graphs for f₄ and f₁₃ are dual to each other.
The values of the subtraction and implication functions for each
(x, y) in B × B and the text expressions for their logical graphs
are given in the following Table.
Table 2. Subtractions and Implications • Truth Table
•
https://inquiryintoinquiry.files.wordpress.com/2021/05/subtractions-and-imp…
Resources —
Logic Syllabus
•
https://inquiryintoinquiry.com/logic-syllabus/
Logical Implication • Zeroth Order Logic
•
https://oeis.org/wiki/Logical_implication
•
https://oeis.org/wiki/Zeroth_order_logic
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/VDq921