What gives significance and value to truths is that they permit of interesting predictions. - Christine Ladd-Franklin

I shall adopt the convention by which particular propositions are taken as implying the existence of their subjects, and universal propositions as not implying the existence of their subjects. would infer that the two propositions The sea-serpent is not found in the water, The sea-serpent is not found out of the water,
are contradictory; bur , , and would infer that the sea-serpent does not exist. With this convention, contradiction can never exist between universal propositions nor between particular propositions taken by themselves. A universal proportion can be contradicted only by a particular proposition, and a particular only by a universal. The above premises are inconsistent with The sea-serpent has (at least once) has been found.
With this convention, hypothetical and categorical propositions receive the same formal treatment.
If a, then b = all a is b = a implies b. (Peirce.)

… was of the brooding type. He sat when he addressed his handful of students (who turned out afterwards, however, to be a not unimportant handful) and he had all the air, as has been noted by , of the typical philosopher who is engaged, at the moment, in bringing fresh truth by divination out of some inexhaustible well. He got his effect not by anything that could be called an inspiring personality, in the usual sense of the term, but rather by creating the impression that we had before us a profound, original, dispassionate and impassioned seeker of truth. No effort was made to create a connected and not inconsistent whole out of the matter of each lecture. In fact, so devious and unpredictable was his course that he once, to the delight of his students, proposed at the end of his lecture, that we should form (for greater freedom of discussion) a Metaphysical Club, though he had begun the lecture by defining metaphysics to be the “science of unclear thinking.”