Book 7
1.69
With simple propositions are classed those of negation, denial, privation, affirmation, the definitive and the indefinitive; with those that are not simple the hypothetical, the inferential, the coupled or complex, the disjunctive, the causal, and that which indicates more or less. An example of a negative proposition is It is not day. Of the negative proposition one species is the double negative. By double negative is meant the negation of a negation, e.g. It is not not-day. Now this presupposes that it is day.
1.70
A denial contains a negative part or particle and a predication: such as this, No one is walking. A privative proposition is one that contains a privative particle reversing the effect of a judgement, as, for example, This man is unkind. An affirmative or assertory proposition is one that consists of a noun in the nominative case and a predicate, as Dion is walking. A definitive proposition is one that consists of a demonstrative in the nominative case and a predicate, as This man is walking. An indefinitive proposition is one that consists of an indefinite word or words and a predicate, e.g. Some one is walking, or There’s some one walking; He is in motion.
