it is light,” is true; for, “It is not light,” which is the opposite to the conclusion expressed, is contradictory to the premiss, “It is day.” And a conjunctive proposition is incorrect, when it is such that the opposite of the conclusion is not inconsistent with the premiss, as for instance, “If it is day, Dion is walking.” For the fact that Dion is not walking, is not contradictory of the premiss, “It is day.”
An adjunctive proposition is correct, which begins with a true premiss, and ends in a consequence which follows of necessity, as for instance, “Since it is day, the sun is above the earth.” But it is incorrect when it either begins with a false premiss, or ends with a consequence which does not follow properly; as for instance, “Since it is night, Dion is walking,” for this may be said in the day-time.
A causal proposition is correct, when it begins with a true premiss, and ends in a consequence which necessarily follows from it, but yet does not have its premiss reciprocally consequent upon its conclusion; as for instance, “Because it is day, it is light.” For the fact of its being light, is a necessary consequence of its being day; but the fact of its being day, is not necessarily a consequence of its being light.
A causal proposition is incorrect, which either begins with a false premiss, or ends with a conclusion that does not follow from it, or which has a premiss which does not correspond to the conclusion; as for instance, “Because it is night, Dion is walking.”
A proposition is persuasive, which leads to the assent of the mind, as for instance, “If she brought him forth, she is his mother.” But still this is a falsehood, for a hen is not the mother of an egg. Again, there are some propositions which are possible, and some which are impossible; and some which are necessary, and some which are not necessary.