Jon Awbrey
unread,Oct 29, 2023, 12:50:11 PM10/29/23Sign in to reply to author
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to Cybernetic Communications, Laws of Form, Structural Modeling, SysSciWG
Logical Graphs • Interpretive Duality 2
•
https://inquiryintoinquiry.com/2023/10/29/logical-graphs-interpretive-duality-2/
All,
A logical concept represented by a boolean variable has its
“extension”, the cases it covers in a designated universe
of discourse, and its “comprehension” (or “intension”), the
properties it implies in a designated hierarchy of predicates.
The formulas and graphs tabulated in previous posts are well-adapted
to articulate the syntactic and intensional aspects of propositional
logic. But their very tailoring to those tasks tends to slight the
extensional and therefore empirical applications of logic.
Venn diagrams, despite their unwieldiness as the number of
logical dimensions increases, are indispensable in providing
the visual intuition with a solid grounding in the extensions
of logical concepts. All that makes it worthwhile to reset
our table of boolean functions on two variables to include
the corresponding venn diagrams.
Venn Diagrams and Logical Graphs on Two Variables
•
https://inquiryintoinquiry.files.wordpress.com/2020/11/venn-diagrams-and-logical-graphs-on-two-variables.png
Regards,
Jon
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