Logical Graphs • First Impressions 3
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https://inquiryintoinquiry.com/2023/08/24/logical-graphs-first-impressions/
Duality : Logical and Topological —
In using logical graphs there are two types of duality
to consider, logical duality and topological duality.
Graphs of the order Peirce considered, those embedded in
a continuous manifold like that commonly represented by
a plane sheet of paper, can be represented in linear text
as what are called “traversal strings” and parsed into
“pointer structures” in computer memory.
A blank sheet of paper can be represented in linear text as
a blank space, but that way of doing it tends to be confusing
unless the logical expression under consideration is set off
in a separate display.
For example, consider the axiom or initial equation shown below.
Logical Graph • Arithmetic Initial I₂
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https://inquiryintoinquiry.files.wordpress.com/2023/08/logical-graph-arithm…
This can be written inline as “( ( ) ) = ”
or set off in a text display:
( ( ) ) =
Regards,
Jon
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