And _All elephants are sagacious_ does not limit sagacity to elephants: regarding 'sagacious' as possibly denoting many animals of many species that exhibit the quality, this proposition is equivalent to '_All elephants are_ some _sagacious animals_.' The affirmative predication of a quality does not imply exclusive possession of it as denial implies its complete absence; and, therefore, to regard the predicate of an affirmative proposition as distributed would be to go beyond the evidence and to take for granted what had never been alleged.
Some Logicians, seeing that the quantity of predicates, though not distinctly expressed, is recognised, and holding that it is the part of Logic "to make explicit in language whatever is implicit in thought," have proposed to exhibit the quantity of predicates by predesignation, thus: 'Some men are _some_ wise (beings)'; 'some men are not _any_ brave (beings)'; etc.

This is called the Quantification of the Predicate, and leads to some modifications of Deductive Logic which will be referred to hereafter.

(See Sec.

3; chap.vii.Sec.4, and chap.viii.Sec.

3.) Sec.2.As to Quality, Propositions are either Affirmative or Negative.