Logical Graphs • Discussion 6
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https://inquiryintoinquiry.com/2023/08/29/logical-graphs-discussion-6/
Re: Logical Graphs • First Impressions
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https://inquiryintoinquiry.com/2023/08/24/logical-graphs-first-impressions/
Logical Graphs • Figures 1 and 2
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https://inquiryintoinquiry.files.wordpress.com/2023/08/logical-graph-figure…
Re:
Academia.edu • Robert Appleton
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https://www.academia.edu/community/lavbw5?c=Q4jlVy
RA:
❝As a professional graphic designer and non-mathematician reading your
two diagrams, I need to ask for a simpler statement of their purpose.
What do Fig 1 and Fig 2 represent to you? And what insight do they
provide us?❞
My Comment —
Figures 1 and 2 are really just a couple of “in medias res” pump‑primers
or ice‑breakers. This will all be explained in the above linked blog post,
where I'm revising the text and upgrading the graphics of some work I first
blogged in 2008 based on work I did even further back. I'll be taking a fresh
look at that as I serialize it here.
Those two Figures come from George Spencer Brown's 1969 book Laws of Form,
where he called them the Law of Calling and the Law of Crossing. GSB revived
and clarified central aspects of Peirce's systems of logical graphs and I find
it helpful to integrate his work into my exposition of Peirce. For now you can
think of those as exemplifying two core formal principles which go to the root
of the mathematical forms underlying logical reasoning.
Regards,
Jon
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