Plurative propositions are those introduced by “most,” “few,” “a few,” or equivalent quantity signs. For example, “_Most_ birds are useful to man”; “_Few_ men know how to live”; “_A few_ of the prisoners escaped,” are plurative propositions. “Most” means more than half, while “few” and “a few” mean less than half. In either case the proposition is particular. Stated logically, the illustrative propositions would take the form of “Some birds are useful to man”; “Some men do not know how to live”; “Some of the prisoners escaped.” The reader will observe the difference in significance between _few_ and _a few_. The former is negative in character and when introducing a proposition makes it a particular negative (O). The latter always introduces a particular affirmative (I). (5) Partitive Propositions. Partitive propositions are particulars which imply a complementary opposite. These arise through the ambiguous use of _all-not_, _some_ and _few_. _All-not_ may sometimes be interpreted as _not all_ and sometimes as _no_. To illustrate: The proposition, “All men are not mortal,” is distinctly a universal negative or an E, while the proposition, “All that glitters is not gold,” is a particular negative or an O. The logical form of the first is, “No men are mortal,” and of the second, “Some glittering things are not gold.” When used in the “not-all” sense, the proposition is partitive because if the O-meaning is intended the I is implied. For example, “All that glitters is not gold,” is partitive because the statement implies that some glittering things _are_ gold (I) as well as the complement, “Some glittering things _are not_ gold” (O). A knowledge of both the affirmative and negative aspects is taken for granted in the statement of either the one or the other. “All-not,” then, is negative in any case, but universal when it means _no_ and particular when it means _not all_. Any proposition is partitive in nature when the quantity sign is _not all_, or _all-not_ interpreted as the equivalent of _not all_. It may be observed here that _all_ has two distinct uses. First, it may be used in a collective sense; second, in a distributive sense. For example: _All_ is used in the _collective_ sense in such propositions as, “All the members of the football team weighed exactly one ton,” or “All the angles of the triangle are equal to two right angles.” Using _all_ in the distributive sense would make true these: “All the members of the football team weigh more than 140 pounds”; “All the angles of a triangle are less than two right angles.” _All_ is used collectively when reference is made to an aggregate, but distributively when reference is made to each.