Peirce’s 1870 “Logic Of Relatives” • Comment 10.12

Potential ambiguities in Peirce’s two versions of the “rich black man” example can be resolved by providing them with explicit graphical markups, as shown in Figures 28 and 29.


LOR 1870 Figure 28
(28)

LOR 1870 Figure 29
(29)

On the other hand, as the forms of relational composition become more complex, the corresponding algebraic products of elementary relatives, for example, \mathrm{(x\!:\!y\!:\!z)(y\!:\!z)(z)}, will not always determine unique results without the addition of more information about the intended linkings of terms.

This entry was posted in Graph Theory, Logic, Logic of Relatives, Logical Graphs, Mathematics, Peirce, Relation Theory, Semiotics and tagged , , , , , , , . Bookmark the permalink.

One Response to Peirce’s 1870 “Logic Of Relatives” • Comment 10.12

  1. Pingback: Survey of Relation Theory • 3 | Inquiry Into Inquiry

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