  Toward the end of the chapter on categorical syllogisms there is a long footnote (MAL, pp. 42–45) claiming (MAL, pp. 42, 43) that secondary expressions alone are sufficient for the analysis of [his generalization of] Aristotelian categorical logic. The footnote loses much of its force because the results it presents depend heavily on the weak elimination theorem being best possible, which is not the case. Regarding the secondary expressions, in the Postscript to MAL he says: