Note 2 — Chapter VII

06 Some being again interpreted in its ordinary logical sense. Mr Johnson points out that if some means some but not all, we are led to the paradoxical conclusion that ω is equivalent to U. We may regard a statement involving a reference to some but not all as a statement relating to some at least, combined with a denial of the corresponding statement in which all is substituted for some. On this interpretation, Some S is not some P affirms that “S and P are not identically one,” but also denies that “some S is not any P” and that “some P is not any S”; that is, it affirms SaP and PaS.