ws
of number and extension, such as they actually are. The phaenomena of
Astronomy depend on these three classes of laws, and on the law of
gravitation besides; which last has no influence on the truths of
number, geometry, or mechanics. Physics (badly named in common English
parlance Natural Philosophy) presupposes the three mathematical
sciences, and also astronomy; since all terrestrial phaenomena are
affected by influences derived from the motions of the earth and of the
heavenly bodies. Chemical phaenomena depend (besides their own laws) on
all the preceding, those of physics among the rest, especially on the
laws of heat and electricity; physiological phaenomena, on the laws of
physics and chemistry, and their own laws in addition. The phaenomena of
human society obey laws of their own, but do not depend solely upon
these: they depend upon all the laws of organic and animal life,
together with those of inorganic nature, these last influencing society
not only through their influence on life, but by determining the
physical conditions under which society has to be carried on. "Chacun de
ces degre's successifs exige des inductions qui lui sont propres; mais
elles ne peuvent jamais devenir systematiques que sous l'impulsion
deductive resultee de tous les ordres moins compliques."[3]
Thus arranged by M. Comte in a series, of which each term represents an
advance in speciality beyond the term preceding it, and (what
necessarily accompanies increased speciality) an increase of
complexity--a set of phaenomena determined by a more numerous
combination of laws; the sciences stand in the following order: 1st,
Mathematics; its three branches following one another on the same
principle, Number, Geometry, Mechanics. 2nd, Astronomy. 3rd, Physics.
4th, Chemistry. 5th, Biology. 6th, Sociology, or the Social Science, the
phaemomena, of which depend on, and cannot be understood without, the
principal truths of all the other sciences. The subject matter and
contents of these various sciences are obvious of themselves, with the
exception of Physics, which is a group of sciences rather than a single
science, and is again divided by M. Comte into five departments:
Barology, or the science of weight; Thermology, or that of heat;
Acoustics, Optics, and Electrology. These he attempts to arrange on the
same principle of increasing speciality and complexity, but they hardly
admit of such a scale, and M. Comte's mode of placing them varied
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