89

116

there is no largest. But that does not in the
least prevent there being a multitude
greater than them all, just as the multitude
of all whole numbers is greater than each
whole number though there is no largest
whole number. What then would come next?
Collections of each of these multitudes
is possible, notwithstanding that the least of the ultranumerables
far exceeds the multitude of all the atoms in the universe.
Still a collection of any ultranumerable multitude not
only is possible but [??] it really IS, in the sense in which
any plural is apart from its having ever
been thought of as such. Now, then, let collections
of all these multitudes be aggregated.
What sort of a collection will that be?
It is easy to answer that question infallibly,
though not so easy to comprehend the answer.

116

there is no largest. But that does not in the
least prevent there being a multitude
greater than them all, just as the multitude
of all whole numbers is greater than each
whole number though there is no largest
whole number. What then would come next?
Collections of each of these multitudes
is possible, notwithstanding that the least of the ultranumerables
far exceeds the multitude of all the atoms in the universe.
Still a collection of any ultranumerable multitude not
only is possible but [??] it really IS, in the sense in which
any plural is apart from its having ever
been thought of as such. Now, then, let collections
of all these multitudes be aggregated.
What sort of a collection will that be?
It is easy to answer that question infallibly,
though not so easy to comprehend the answer.