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2

Ladies & Gentlemen:
Skip To Vol 2 p. 124

As a specimen of mathematical
logic in action, I am going to tell you this
evening something about the new doctrine
of maniness, or multitude.

But I must hasten to the subject of numbers.
Whole numbers can on the one hand be studied in two
ways which are surprisingly different from
one another throughout. They can be studied
as qualities of collections, making the members of one collection
many and those of another few, which is
called by the Germans with their usual incapacity for language,
the doctrine of Cardinal Numbers; but
which ought to be called the doctrine of Multitude. Or, on the
other hand, numbers may be considered simply
as objects in a sequence, as ordinal numbers.
The latter study is a branch of pure mathematics

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