## Peirce’s 1870 “Logic of Relatives” • Comment 10.12

### 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.

$\text{Figure 28. Man that is Black that is Rich}$

$\text{Figure 29. Man that is a Rich Individual and is}$
$\text{a Black Person that is that Rich Individual}$

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.

### Resources

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