Interpretive Duality in Logical Graphs • 2
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https://inquiryintoinquiry.com/2024/04/23/interpretive-duality-in-logical-g…
Re: Interpretive Duality in Logical Graphs • 1
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https://inquiryintoinquiry.com/2024/04/22/interpretive-duality-in-logical-g…
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 the previous post 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
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https://inquiryintoinquiry.com/wp-content/uploads/2020/11/venn-diagrams-and…
Regards,
Jon
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