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Updated: May 10, 2025
In which statement we have two facts directly at variance: with M. Comte's doctrine; first, that the simpler science, statics, reached its present development only by the aid of the principle of virtual velocities, which belongs to the more complex science, dynamics; and that this "single principle" underlying all rational mechanics this most general form which includes alike the relations of statical, hydro-statical, and dynamical forces was reached so late as the time of Lagrange.
As the Descriptology, or verbal daguerreotyping of the Continuity of Society, and hence of the Dynamical aspect of Concrete Sociology, History stands, then, in a sense, at the head of the scale, omitting Theology, the true apex of the pyramid of Sciences, which pyramid Comte has decapitated of this very apex.
I proceeded in this manner throughout, in order to guarantee the greatest exactitude in the dynamical effects of the orchestra. There was nothing, however difficult, which was allowed to be performed in such a way as not to arouse the feelings of the audience in a particular manner.
For reason is not a phenomenon, and therefore not subject to sensuous conditions; and, consequently, even in relation to its causality, the sequence or conditions of time do not influence reason, nor can the dynamical law of nature, which determines the sequence of time according to certain rules, be applied to it. Reason is consequently the permanent condition of all actions of the human will.
The actual power exerted by an engine cannot be deduced from its nominal power, neither can the nominal power be deduced from the power actually exerted, or from anything else than the dimensions of the cylinder. The actual horse power being a dynamical unit, and the nominal horse power a measure of capacity of the cylinder, are obviously incomparable things.
While the student or the philosopher who seeks to render any account of the tide on dynamical grounds is greatly embarrassed by the difficulties introduced by friction, we, for our present purpose in the study of the great romance of modern science opened up to us by the theory of the tides, have to welcome friction as the agent which gives to the tides their significance from our point of view.
It is a dynamical question presented in moral terms.... Keeping a portion of the woman population without prospect of marriage means having prostitutes, that is women as instruments of man's mere sensuality, and this means the killing, in many of them, of all pure love or capacity of it.
It is the person of Jesus Christ that is dynamical; what He was on earth, what He has been ever since in the hearts of individuals and in the Church. In a real sense we are starting again from and with Himself. Anticipating, let us say that these two elements most recently dynamical in Britain have had force likewise in India.
There is, however, the profound difference of stability and instability between the two cases; the most insignificant disturbance of the system at the initial stage was sufficient to precipitate the revolving moon from its condition of dynamical equilibrium, and to start the course of tidal evolution in full vigour.
Now, as heat produces mechanical motion, and mechanical motion heat, they must clearly have some common quality. The dynamical theory asserts, that, as they are both modes of motion, they must be mutually and easily convertible.
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