least, is
certain, _that all our researches are leading up to that question_, and
mankind will never rest till it is answered.'
'All the Phenomena of Physics,' says Professor Silliman, in his _First
Principles of Philosophy_, 'are dependent on a limited number of general
laws, _of which they are the necessary consequences_. However various
and complex may be the phenomena, their laws are few, and distinguished
for their exceeding simplicity. All of them may be represented by
numbers and algebraic symbols, and these condensed _formulae_ enable us
to conduct investigations _with the certainty and precision of pure
Mathematics_. As in geometry, all the properties of figures are deduced
from a few axioms and definitions; so _when the general laws of Physics
are known, we may deduce from them, by a series of rigorous reasonings,
all the phenomena to which they give rise_.'
Auguste Comte, in his elaborate and encyclopaedic _Course of Positive
Philosophy_, tells us that 'these _three_ laws [the Law of Inertia, the
Law of the Equality of action and reaction, and the Law of the
Composition of forces] are the experimental basis of the Science of
Mechanics. From them the mind may proceed _to the logical construction
of the Science, without further reference to the external world_. * * *
We cannot, however, conceive of any case which is not met by these three
laws of Kepler, of Newton, and of Galileo, and their expression is so
precise that they can be immediately treated in the form of analytical
equations easily obtained.' While also exhibiting the small number of
Principles which lie at the foundation of other domains of our
intellectual accumulations, Comte remarks: 'The ultimate perfection of
the Positive system would be (if such perfection could be hoped for) to
represent all phenomena as particular aspects of a single general
fact;--such as Gravitation, for instance.'
These are a few specimens of what may be found in the books, pointing
out the gradual approach of Scientific investigation to the discovery of
a Unitary Law, and the expectation among Scientists of the advent, at
some period not far distant, of a new Science, the greatest among
Sciences, a true Pantology or Universology. Upon the apprehension of
this Law, which must establish the true basis of every domain of thought
or activity, and show it to be identical or analogous in the several
domains, we shall be placed, _in relation to the whole universe_,
preci
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