 Where a = ‘a is false’, its primary significate either exists or does not. If it does, then in any event it is not independent of a in the sense required by the third kind of truth. In either case, then, a will be false in the third sense. If the word ‘false’ in a is taken in the second sense, therefore, a’s primary significate does exist, since it is a fact that a is false in the third sense. In short, the insoluble is true in the second sense, but false in the third sense.