=42. General.= In the formal sciences we began the specialization of the
object from the most general concept of thing conceivable, possessing no
other characteristic attribute than its capability of being
distinguished from other things; and we carried the specialization so
far that we could follow in its movements an object definite as to time
and space. This object, to be sure, was defined only in that it occupied
a definite space, and accordingly had a definite form. As a matter of
fact, the spacial thing of geometry and phoronomy reveals no further
attributes.
It is here that the physical sciences enter into their dominion one
after the other, and fill the empty space of the geometric thing with
definite attributes. These are the secondary qualities of Locke, of
which he assumed that they do not belong so much to the bodies
themselves as that they merely appear to us so on account of the nature
of our human sense organs. Now that our knowledge concerning the nature
of those properties as well as the structure of our sense organs is
much more thorough, we have more definite ideas also of the subjective
part of the corresponding experiences, and in a large measure are able
to separate it from the objective part.
All properties which physical bodies in contradistinction to geometric
bodies possess can be traced back to a fundamental concept, which, in
conjunction with the concepts explained in the former chapter, serves to
characterize and distinguish the physical structure. For example, the
fact that we can distinguish cubes of equal size but of different
material, different temperature, and different luminosity, can be traced
back always and entirely to the different kinds of energy acting in the
geometric space in question. The concept of energy, therefore, plays
approximately the same rôle in the physical sciences as the concept of
thing in the formal sciences, and the essentials of this new field of
science are the comprehensive knowledge and development of this concept.
Because of its great importance it has long been known and applied in
individual forms. But the systematization of the physical sciences
relative to energy is a matter of only recent date.
=43. Mechanics.= Recently many scientists have taken exception to the
traditional division of mechanics into _statics_, or the science of
equilibrium, and _dynamics_, or the science of motion, because it does
not correspond to the essence of the thing, equilibrium being only the
limit-case of motion. However, the classic presentations of this
science are based on that division, so that it must express an essential
difference. This difference we can clearly recognize through the
application of the concept of energy to mechanics. We then learn that
statics is the science of work, or the energy of position, and that
dynamics is the science of living force, or of the energy of motion.
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