Cf: Genus, Species, Pie Charts, Radio Buttons • Discussion 4
https://inquiryintoinquiry.com/2021/11/23/genus-species-pie-charts-radio-bu…
Re: Genus, Species, Pie Charts, Radio Buttons • 1
https://inquiryintoinquiry.com/2021/11/10/genus-species-pie-charts-radio-bu…
Re: Laws of Form
https://groups.io/g/lawsofform/topic/genus_species_pie_charts/86943252
::: John Mingers (
https://groups.io/g/lawsofform/message/1239 )
<QUOTE JM:>
I feel as though you have posted these same diagrams many times,
and it is always portrayed as clearing the ground for something else.
But the something else never arrives! I would be really interested
to know what the next step is in your ideas.
</QUOTE>
Dear John,
Thanks for the question. Bruce Schuman mentioned radio button logic and
I jumped on it “like a duck on a June bug” — as they say in several southern
States I know — because that very thing marks an important first step in the
application of minimal negation operators to represent finite domains of values,
contextual individuals, genus and species, partitions, and so on. But some of
the comments I got next gave me pause and made me feel I should go back and
clarify a few points.
I wasn't sure, but I got the sense Bruce was reading the cactus graphs I posted
as an order of hierarchical, ontological, or taxonomic diagrams. What they really
amount to are the abstract, human-viewable renditions of linked data structures or
“pointer” data structures in computer memory. I explained the transformation from
planar forms of enclosure to their topological dual trees to the pointer structures
in one of the articles on logical graphs I wrote for Wikipedia and later Google's
now-defunct Knol. People can find a version of that on the following page of my blog.
Logical Graphs • Introduction
https://inquiryintoinquiry.com/2008/07/29/logical-graphs-1/
Resources
=========
Minimal Negations Operators
https://oeis.org/wiki/Minimal_negation_operator
Survey of Animated Logical Graphs
https://inquiryintoinquiry.com/2021/05/01/survey-of-animated-logical-graphs…
Regards,
Jon