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What does that mean, 'sharing experience'?
Does it mean that 'some original pathema' (SOP),
some impression of the 'world as a whole' (WAAW),
is apportioned into lots and distributed to our
several rations, here, on this earthly sphere?
Something to muse on while I drone.
Having the incidence matrix of -- what shall I name it for short? -- "Lot(2^2^2)"
before me, I am emboldened to try and sketch its lattice diagram in Asciiischean.
In the diagram, the name "j", coded in Hexadecimal, will denote the function f_j.
By way of laying out the lattice of Lot(16) a bit more elegantly in the frame of
the plane, let me exploit a trick of Peirce, known as the "teridentity relation",
in order to identify the scattered avatars of entities in the order whose tokens
are required to be distributed throughout a host of different sites in the plane,
all the more facilely to meet the demands of their various and sundry incidents.
____________F____________
/ / \ \
/ / \ \
/ / \ \
/ / \ \
/ / \ \
__7__ __B__ __D__ __E__
/ | \ / | \ / | \ / | \
3 5 6 3 9 A 5 9 C 6 A C
\ \ \ / \ \ / / \ / / /
\ \ / \ / / / / /
\ \ / \ \ / \ / / \ / /
\ / \ / / / / /
\ / \ \ / \ / \ / / \ /
3 \ \ / 9 \ / / C
| \ \ / / \ \ / / |
| \ / / \ / / |
| \ / \ / \ / \ / |
| 5 \ / A |
| / \ / \ / \ / \ |
| / \ \ / \ \ |
| / / \ \ / / \ \ |
3 / / \ 6 / \ \ C
/ \ / / \ / \ / \ \ / \
/ \ / \ \ \ \ \
/ / \ / / \ / \ \ / \ \
/ / \ / \ \ \ \ \
/ / / \ / / \ \ / \ \ \
3 5 9 3 6 A 5 6 C 9 A C
\__|__/ \__|__/ \__|__/ \__|__/
1 2 4 8
\ \ / /
\ \ / /
\ \ / /
\ \ / /
\___________\ /___________/
0
Table. Incidence Matrix of the Implication Ordering <f_i => f_j>
o-----o------o----------o---------------------------------------------------------------o
| | | f_i | f_j |
| p | 1100 | o---o---o---o---o---o---o---o---o---o---o---o---o---o---o---o---o
| q | 1010 | | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
o-----o------o----------o---o---o---o---o---o---o---o---o---o---o---o---o---o---o---o---o
| | | | |
| f_0 | 0000 | () | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 |
| | | | |
| f_1 | 0001 | (p)(q) | 1 1 1 1 1 1 1 1 |
| | | | |
| f_2 | 0010 | (p) q | 1 1 1 1 1 1 1 1 |
| | | | |
| f_3 | 0011 | (p) | 1 1 1 1 |
| | | | |
| f_4 | 0100 | p (q) | 1 1 1 1 1 1 1 1 |
| | | | |
| f_5 | 0101 | (q) | 1 1 1 1 |
| | | | |
| f_6 | 0110 | (p, q) | 1 1 1 1 |
| | | | |
| f_7 | 0111 | (p q) | 1 1 |
| | | | |
| f_8 | 1000 | p q | 1 1 1 1 1 1 1 1 |
| | | | |
| f_9 | 1001 | ((p, q)) | 1 1 1 1 |
| | | | |
| f_A | 1010 | q | 1 1 1 1 |
| | | | |
| f_B | 1011 | (p (q)) | 1 1 |
| | | | |
| f_C | 1100 | p | 1 1 1 1 |
| | | | |
| f_D | 1101 | ((p) q) | 1 1 |
| | | | |
| f_E | 1110 | ((p)(q)) | 1 1 |
| | | | |
| f_F | 1111 | (()) | 1 |
| | | | |
o-----o------o----------o---------------------------------------------------------------o
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