line and generalization,
by any application of the Inductive Method, has completely vanished.

The hopelessness of a Science of History prior to the discovery of a
Unitary Law and the introduction of the Deductive Method into all
domains of investigation, now becomes plainly apparent. Until the
occurrence of that event we shall look in vain for a true Science of
History. With the advent of such a discovery, it will be possible to
carry the precision and infallibility of Mathematical Demonstration into
all departments of Thought, and to subject the Phenomena of History to
well-defined and indubitable Laws.

We must guard, however, against entertaining the supposition that a
Unitary Science will bring _all_ the Phenomena of the universe within
the compass of _Demonstrable_ apprehension. The province of Science is
not infinite, but circumscribed. We are limited in the application of
Mathematical Laws, even within the sphere of Pure Mathematics; general
equations of the fifth degree having until recently resisted all
attempts to solve them; and fields yet remain into which we cannot
advance. The power of the human mind to analyze Phenomena ceases at some
point, and there our ability to _apply_ Scientific Principles, however
indubitable in themselves, ends. It is the office of Exact Science to
furnish us with a knowledge of the inherent Laws which everywhere
pervade the Universe and govern continuously and unalterably its
activities. To the extent to which it is possible to trace the
constituent elements of Thought or Things we can have the guidance of
these Laws or Principles. But when we reach that point in any department
of investigation where the complexity of the Phenomena renders it
impossible for the human intellect to successfully analyze it and
discover its separate parts, the sphere of accurate Scientific Knowledge
is transcended. The Intuition--the faculty which apprehends what we may
call the spirit of _Concrete_ things, which goes to conclusions by a
rapid process that overleaps intermediate steps, which is our guide in
the numerous decisions that we are called to make in our every-day life,
and which perceives, in a somewhat vague and indefinite manner--becomes
our only guide in this Realm of the Inexact.

The advent of a Unitary Science and the inauguration of a true Deductive
Method in all domains of Thought, will, indeed, completely revolutionize
our Scientific bases, and render precision and infallibility