[Inquiry] Re: Examples! Examples! Examples!

[Jon Awbrey]

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EEE.  Note 12

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Now you knew that a Peircean could not be content with a 2-ptych.
So here is the 3-ptych that puts the 1-dimensional space X1 into
the line-up with the lattice X1^ = (X1 -> B) ~=~ Pow(X1) and the
quotient lattice !C!(!P!)/((,)), where !P! = {p_1} = {"x"}, plus
or minus a sprinkling of quotation marks syntactically salted or
sugared according to the arguments of one's idiosyntactic taste.

o-------------------o-----------------------------o-----------------------------o
|                   |                             |                             |
|                   |                             |        o-----------o        |
|                   |                             |       /| " "       |\       |
|                   |              o              |      / | "(x(x))"  | \      |
|                   |             / \             |     /  | ...       |  \     |
|                   |            /   \            |    /   o-----------o   \    |
|                   |           /     \           |   /                     \   |
|                   |          /       \          |  /                       \  |
|                   |         /         \         | o-----------o o-----------o |
|                   |        /           \        | | "(x)"     | | "x"       | |
|   (x) o---o  x    |   (x) o             o  x    | | "(x(()))" | | "((x))"   | |
|                   |        \           /        | | ...       | | ...       | |
|                   |         \         /         | o-----------o o-----------o |
|                   |          \       /          |  \                       /  |
|                   |           \     /           |   \                     /   |
|                   |            \   /            |    \   o-----------o   /    |
|                   |             \ /             |     \  | "()"      |  /     |
|                   |              o              |      \ | "x(x)"    | /      |
|                   |                             |       \| ...       |/       |
|                   |             ( )             |        o-----------o        |
|                   |                             |                             |
o-------------------o-----------------------------o-----------------------------o
Figure 8.  Chart Target X1, Object Lattice X1^, Semiotic Quotient !C!("x")/((,))

Let's not worry too much about the names,
as I am having to neologize them as I go.

Jon Awbrey

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