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SUO: Re: Sign Relations & Communication




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For your contemplation, after the Tables of the
sign relations L(A) and L(B) are Figures that show
the projections of L(A) and L(B) on the three faces
of the embedding sign relational space, for the sake
of symmetry shown here in the order SxOxI.  The fact
that any of the corresponding projections are distinct
tells us that L(A) and L(B) can be distinguished from
each other by looking at their 2-adic components.

Table 1.  Sign Relation L(A)
o---------------o---------------o---------------o
| Object        | Sign          | Interpretant  |
o---------------o---------------o---------------o
| A             | "A"           | "A"           |
| A             | "A"           | "i"           |
| A             | "i"           | "A"           |
| A             | "i"           | "i"           |
o---------------o---------------o---------------o
| B             | "B"           | "B"           |
| B             | "B"           | "u"           |
| B             | "u"           | "B"           |
| B             | "u"           | "u"           |
o---------------o---------------o---------------o

Table 2.  Sign Relation L(B)
o---------------o---------------o---------------o
| Object        | Sign          | Interpretant  |
o---------------o---------------o---------------o
| A             | "A"           | "A"           |
| A             | "A"           | "u"           |
| A             | "u"           | "A"           |
| A             | "u"           | "u"           |
o---------------o---------------o---------------o
| B             | "B"           | "B"           |
| B             | "B"           | "i"           |
| B             | "i"           | "B"           |
| B             | "i"           | "i"           |
o---------------o---------------o---------------o

|                       o
|                      /%\
|                 "u" /%%%\ "u"
|                    /%%%%%\
|                   o%%%%%%%o
|                  / \%%%%%/ \
|             "i" /   \%%%/   \ "i"
|                /     \%/     \
|               o       o       o
|              /%\     /%\     /%\
|         "B" /%%%\   /%%%\   /%%%\ "B"
|            /%%%%%\ /%%%%%\ /%%%%%\
|           o%%%%%%%o%%%%%%%o%%%%%%%o
|          / \%%%%%/ \%%%%%/ \%%%%%/ \
|     "A" /   \%%%/   \%%%/   \%%%/   \ "A"
|        /     \%/     \%/     \%/     \
|       o       o       o       o       o
|       |\     /%\     /%\     /%\     /|
|       |%\   /%%%\   /%%%\   /%%%\   /%|
|       |%%\ /%%%%%\ /%%%%%\ /%%%%%\ /%%|
|       |%%%o%%%%%%%o%%%%%%%o%%%%%%%o%%%|
|       |%%%|\%%%%%/ \%%%%%/ \%%%%%/|%%%|
|       |%%%| \%%%/   \%%%/   \%%%/ |%%%|
|       |%%%|  \%/     \%/     \%/  |%%%|
|       o%%%|   o       o       o   |%%%o
|       |\%%|   |\     /%\     /|   |%%/|
|       | \%|   |%\   /%%%\   /%|   |%/ |
|       |  \|   |%%\ /%%%%%\ /%%|   |/  |
|       |   o   |%%%o%%%%%%%o%%%|   o   |
|       |   |\  |%%%|\%%%%%/|%%%|  /|   |
|       |   |%\ |%%%| \%%%/ |%%%| /%|   |
|       |   |%%\|%%%|  \%/  |%%%|/%%|   |
|       o   |%%%o%%%|   o   |%%%o%%%|   o
|        \  |%%%|\%%|   |   |%%/|%%%|  /
|     "u" \ |%%%| \%|   |   |%/ |%%%| / "u"
|          \|%%%|  \|   |   |/  |%%%|/
|           o%%%|   o   B   o   |%%%o
|            \%%|   |\  |  /|   |%%/
|         "i" \%|   |%\ | /%|   |%/ "i"
|              \|   |%%\|/%%|   |/
|               o   |%%%o%%%|   o
|                \  |%%%|%%%|  /
|             "B" \ |%%%|%%%| / "B"
|                  \|%%%|%%%|/
|                   o%%%A%%%o
|                    \%%|%%/
|                 "A" \%|%/ "A"
|                      \|/
|                       o
|                   <S, O, I>
|
| Figure 1.  Projections of Sign Relation L(A)

|                       o
|                      /%\
|                 "u" /%%%\ "u"
|                    /%%%%%\
|                   o%%%%%%%o
|                  / \%%%%%/ \
|             "i" /   \%%%/   \ "i"
|                /     \%/     \
|               o       o       o
|              / \     /%\     / \
|         "B" /   \   /%%%\   /   \ "B"
|            /     \ /%%%%%\ /     \
|           o       o%%%%%%%o       o
|          /%\     /%\%%%%%/%\     /%\
|     "A" /%%%\   /%%%\%%%/%%%\   /%%%\ "A"
|        /%%%%%\ /%%%%%\%/%%%%%\ /%%%%%\
|       o%%%%%%%o%%%%%%%o%%%%%%%o%%%%%%%o
|       |\%%%%%/ \%%%%%/%\%%%%%/ \%%%%%/|
|       | \%%%/   \%%%/%%%\%%%/   \%%%/ |
|       |  \%/     \%/%%%%%\%/     \%/  |
|       |   o       o%%%%%%%o       o   |
|       |   |\     / \%%%%%/ \     /|   |
|       |   |%\   /   \%%%/   \   /%|   |
|       |   |%%\ /     \%/     \ /%%|   |
|       o   |%%%o       o       o%%%|   o
|       |\  |%%%|\     /%\     /|%%%|  /|
|       |%\ |%%%|%\   /%%%\   /%|%%%| /%|
|       |%%\|%%%|%%\ /%%%%%\ /%%|%%%|/%%|
|       |%%%o%%%|%%%o%%%%%%%o%%%|%%%o%%%|
|       |%%%|\%%|%%%|\%%%%%/|%%%|%%/|%%%|
|       |%%%| \%|%%%| \%%%/ |%%%|%/ |%%%|
|       |%%%|  \|%%%|  \%/  |%%%|/  |%%%|
|       o%%%|   o%%%|   o   |%%%o   |%%%o
|        \%%|   |\%%|   |   |%%/|   |%%/
|     "u" \%|   | \%|   |   |%/ |   |%/ "u"
|          \|   |  \|   |   |/  |   |/
|           o   |   o   B   o   |   o
|            \  |   |\  |  /|   |  /
|         "i" \ |   |%\ | /%|   | / "i"
|              \|   |%%\|/%%|   |/
|               o   |%%%o%%%|   o
|                \  |%%%|%%%|  /
|             "B" \ |%%%|%%%| / "B"
|                  \|%%%|%%%|/
|                   o%%%A%%%o
|                    \%%|%%/
|                 "A" \%|%/ "A"
|                      \|/
|                       o
|                   <S, O, I>
|
| Figure 2.  Projections of Sign Relation L(B)

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