Mathematical Duality in Logical Graphs • Discussion 1
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https://inquiryintoinquiry.com/2024/05/04/mathematical-duality-in-logical-g…
Re: Mathematical Duality in Logical Graphs • 1
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https://inquiryintoinquiry.com/2024/05/03/mathematical-duality-in-logical-g…
Re: Laws of Form • Lyle Anderson
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https://groups.io/g/lawsofform/message/109
Re: Brading, K., Castellani, E., and Teh, N., (2017),
“Symmetry and Symmetry Breaking”, The Stanford Encyclopedia of
Philosophy (Winter 2017), Edward N. Zalta (ed.).
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https://plato.stanford.edu/archives/win2017/entries/symmetry-breaking/
Dear Lyle,
Thanks for the link to the article on symmetry and symmetry breaking.
I did once take a Master's in Mathematics, specializing in combinatorics,
graph theory, and group theory. When it comes to the bearing of symmetry
groups on logical graphs and the calculus of indications, it will take
careful attention to the details of the relationship between the two
interpretations singled out by Peirce and Spencer Brown.
Both Peirce and Spencer Brown recognized the relevant duality,
if they differed in what they found most convenient to use in
their development and exposition, and most of us will emphasize
one interpretation or the other as a matter of facility or taste
in a chosen application, so it requires a bit of effort to keep
the underlying unity in focus. I recently made another try at
taking a more balanced view, drawing up a series of tables in
parallel columns the way one commonly does with dual theorems
in projective geometry, so I'll shortly share more of that work.
Resources —
Logic Syllabus
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https://inquiryintoinquiry.com/logic-syllabus/
Logical Graphs • First Impressions
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https://inquiryintoinquiry.com/2023/08/24/logical-graphs-first-impressions/
Logical Graphs • Formal Development
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https://inquiryintoinquiry.com/2023/09/01/logical-graphs-formal-development…
Regards,
Jon
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