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Much of matter in the treatises on probabilities relates to
mathematical methods of dealing with high numbers
so as readily to get results of far greater accuracy than
there can ever be any need of in practical questions about chance
which are of their nature only rough.

When Pascal's triangle which forms the left
hand part of our diagram is imagined carried out to many
terms, the extreme parts of it are utterly insignificant.
Now the central parts and all but the most extreme end are well represented
by a curve called the probability curve and by a
certain function called the theta of probabilities.
The rule for using it is given in Studies in Logic.

The theory of probabilities is a very beautiful
doctrine mathematically considered and is of the
very extremest value for Logic. The central theorem
of it is due to