60

64
After p 63[?]

consists. But every such scheme holds for every gath,
except for the cuts that ligatures traverse. That is to say
every form of relationship exists between the members
of all gaths alike, except in respect to the identity and
diversity of the correlates. We may go further. Every scheme holds
for every gath if there are no cuts. Therefore multitude
consists in the complexity of indefinite
relationships between the units of a gath as such. But this
complexity consists solely in the diversity of correlates.
Hence the multitude of a gath consists in the othernesses among
its units that the multitude permits. This is so obvious that it is truly wonderful that nobody
has ever said it before this minute, when I say it to you. On the
other hand, the smallness of a collection expressed by
enclosing such a scheme in a cut, consists in the necessitation of identities.

Now some logicians look upon every proposition
as expressing a description of identity. That may be
a contorted conception of a proposition, but it is not