112

I have now said all I need say
about rationals. It is plain that in order
to consider analytic continuity I
must take up irrationals. I shall not need to consider any other ordinal. In order to
consider true continuity I must consider
the doctrine of multitude; and it will be
more convenient to consider multitude
first and irrationals afterward.

But at the very threshold of multitude,
I am met by a great logical difficulty.
For the whole doctrine of Multitude is founded
upon a conception of the relation of
one collection's being greater than
another which is by no means the
common-sense idea of that relation
and which was first given to the world by
Bernard Bolzano, who was at once a
logician and a catholic theologian, a
combination of specialties pretty
sure to lead to grave personal inconvenience,