omnitude

1860, William Hamilton, Lectures in Logic, edited by Henry L. Mansel and John Veitch, Boston: Gould & Lincoln, Volume 2, Lecture 8, p. 173, Universal Judgments are those in which the whole number of objects within a sphere or class are judged of,—as All men are mortal, or Every man is mortal, the all in the one case defining the whole collectively,—the every in the other defining it discretively. In such judgments the notion of a determinative wholeness or totality, in the form of omnitude or allness, is involved.