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I beg you I particularly to call your attention
to my use of the word Multitude. I never
use this word to mean a Collection or Plural.
I always use it as an abstract noun denoting
that character of a Collection which makes
it greater than some collections and less
than others. Thus, twoness, tenness, three-
hundred-and-sixty-five-ness, are individual
Multitudes, as I use the word.

At the very outset of the study of the logic
of mathematics our attention is forced to the
subject of Multitude. Everybody knows that
there is a Mathematics of Multitude; and I am
going this evening to tell you some elementary things
about it that you probably do not know.