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Revision as of 14:10, 5 November 2007
, 14:10, 5 November 2007→Commentary Note 10.7: markup
===Commentary Note 10.7===
===Commentary Note 10.7===
Here is what I get when I try to analyze Peirce's "giver of a horse to a lover of a woman" example along the same lines as the 2-adic compositions.
Here is what I get when I try to analyze Peirce's
"giver of a horse to a lover of a woman" example
along the same lines as the 2-adic compositions.
We may begin with the mark-up shown in Figure 6.
We may begin with the mark-up shown in Figure 6.
<pre>
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Figure 6. Giver of a Horse to a Lover of a Woman
Figure 6. Giver of a Horse to a Lover of a Woman
</pre>
If we analyze this in accord with the "spreadsheet" model
If we analyze this in accord with the "spreadsheet" model of relational composition, the core of it is a particular way of composing a 3-adic "giving" relation ''G'' ⊆ ''T'' × ''U'' × ''V'' with a 2-adic "loving" relation ''L'' ⊆ ''U'' × ''W'' so as to obtain a specialized sort of 3-adic relation (''G'' o ''L'') ⊆ ''T'' × ''W'' × ''V''. The applicable constraints on tuples are shown in Table 9.
of relational composition, the core of it is a particular
way of composing a 3-adic "giving" relation G c T x U x V
with a 2-adic "loving" relation L c U x W so as to obtain
a specialized sort of 3-adic relation (G o L) c T x W x V.
The applicable constraints on tuples are shown in Table 9.
<pre>
Table 9. Composite of Triadic and Dyadic Relations
Table 9. Composite of Triadic and Dyadic Relations
o---------o---------o---------o---------o---------o
o---------o---------o---------o---------o---------o
| G o L # T | | W | V |
| G o L # T | | W | V |
o---------o---------o---------o---------o---------o
o---------o---------o---------o---------o---------o
</pre>
The hypergraph picture of the abstract composition is given in Figure 10.
The hypergraph picture of the abstract composition is given in Figure 10.
<pre>
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