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, 14:10, 5 November 2007
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| ===Commentary Note 10.7=== | | ===Commentary Note 10.7=== |
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− | <pre>
| + | 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. | |
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| We may begin with the mark-up shown in Figure 6. | | We may begin with the mark-up shown in Figure 6. |
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| + | <pre> |
| o-------------------------------------------------o | | o-------------------------------------------------o |
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| o-------------------------------------------------o | | o-------------------------------------------------o |
| 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 |
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| | 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> |
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| The hypergraph picture of the abstract composition is given in Figure 10. | | The hypergraph picture of the abstract composition is given in Figure 10. |
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| + | <pre> |
| o---------------------------------------------------------------------o | | o---------------------------------------------------------------------o |
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