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74

I am sorry there is no time to go further into
the graphical treatment, because it becomes more
and more interesting as we go on, and the results
are very important. For instance, in order to prove
by graphs that the Syllogism of Transposed Quantity holds good for
all finite multitudes, since it is evidently impossible
to scribe the graphs of all enumerable multitudes
it is necessary to scribe a graph which shall describe what a graph of
any enumerable multitude is like. The idea of a graph of a
graph is in itself interesting. But it becomes far more
so when we see what the character of that graph must be.
In that way it can be proved what is, I confess, pretty plain,
without the grapbs that the smallest multitude that
is greater than all finite multitudes is the multitude
of a sam for which there is some relation,

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