Abstract
Let us now consider the third class of statements, those completely nonrestrictive. For example, "Something exists." Since this is the pure contradictory of the wholly restrictive, "Nothing exists," which we have found reason to regard as impossible, and since the contradictory of an impossible statement is necessary, we should expect "Something exists" to be necessarily true, a statement valid a priori. And we see that it excludes nothing from existence, except bare "nothing" itself. But the existence of bare nothing is no existence. Further, "Something exists" is in no conceivable circumstances falsifiable, since the falsifying experience would have to exist, and it would also have to be the experience of something existing--at least if, as I should maintain, experience is essentially a relative term, requiring that to which it is relative, or of which it is the experience. But though "Something exists" is unfalsifiable, it is verified every moment. Could the verifiable but in any conceivable world absolutely unfalsifiable be false? I hold that the necessarily true must be knowable as true and only as true, and that, conversely, whatever is in principle verifiable though not falsifiable is thereby shown to be necessarily true.