59

Before p 64{?}

The multitude of a collection would be just what it is if there were no other collection
in the world. Let me offer a definition. The multitude of a gath,—
remember, it is a pure gath and the special firstnesses or flavors of the
characters of its units and sets of units is put out of the question,— consists
in the complexity of the relations existing between its units in virtue of
its peculiar character purely as a gath. But what is meant by the complexity
of relations? What does it consist in? In order to bring this home to
you I compare a greater collection with a smaller. Among the

[diagram]

units of any gath of multitude five or more there is the relation
shown in this graph. In no smaller gath is such a scheme
possible. It is in the possession of such schemes that multitude