ABSTRACT

A judgment or belief when expressed in language is commonly called a proposition. The judgment itself never involves less than two terms; only in the simplest cases, the subject is really inexpressible in language, because it is apprehended too vaguely, and so its verbal expression is more natural if without an expressed subject. A judgment is not produced by putting together two discrete terms, nor is more complex judgments and inferences produced by putting together several discrete judgments. Judgments and propositions are of varying degrees of complexity. The more complex ones involve three, four, or even more terms. The more complex propositions are best treated as composed of simpler propositions, related in certain ways, just as the simpler propositions are composed of terms. Implication and inferability are correlative terms—to say that certain conclusions are inferable from certain premises, is equivalent to saying that those premises imply those conclusions.