And may not the many which are doubles be also halves? — doubles, that is, of one thing, and halves of another?

Quite true.

And things great and small, heavy and light, as they are termed, will not be denoted by these any more than by the opposite names?

True; both these and the opposite names will always attach to all of them.

And can any one of those many things which are called by particular names be said to be this rather than not to be this?

He replied: They are like the punning riddles which are asked at feasts or the children’s puzzle about the eunuch aiming at the bat, with what he hit him, as they say in the puzzle, and upon what the bat was sitting.