5.515 It must be recognized in our symbols that what is connected by “∨”, “.”, etc., must be propositions.

And this is the case, for the symbols “p” and “q” presuppose “∨”, “~”, etc. If the sign “p” in pq does not stand for a complex sign, then by itself it cannot have sense; but then also the signs pp, p . p etc. which have the same sense as “p” have no sense. If, however, pp has no sense, then also pq can have no sense.