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Updated: May 18, 2025
The early lyre of the Greeks had four, constituting their tetrachord. In course of some centuries lyres of seven and eight strings were employed; and, by the expiration of a thousand years, they had advanced to their "great system" of the double octave. Through all which changes there of course arose a greater heterogeneity of melody.
He had to deal, then, with a heterogeneity as pronounced as that which confronted Napoleon; but he was not of the stuff for which you prepare Waterloos. No one dreamed that he would treat the world other than as such a heterogeneity. His relations expected to be made the Jeromes, Eugenes, and Murats of the Hollands, Spains, and Sicilies to hand.
Yet more heterogeneous and less stable still are the salts; which present us with compound atoms each made up of five, six, seven, eight, ten, twelve, or more atoms, of three, if not more, kinds. Then there are the hydrated salts, of a yet greater heterogeneity, which undergo partial decomposition at much lower temperatures.
We shall find that the production of many effects by one cause, which, as already shown, has been all along increasing the physical heterogeneity of the Earth, has further involved an increasing heterogeneity in its flora and fauna, individually and collectively. An illustration will make this clear.
If we remember that, in the far past, men had only nouns and verbs to convey their ideas with, and that from then to now the growth has been towards a greater number of implements of thought, and consequently towards a greater complexity and variety in their combinations; we may infer that we are now, in our use of sentences, much what the primitive man was in his use of words; and that a continuance of the process that has hitherto gone on, must produce increasing heterogeneity in our modes of expression.
Should the Nebular Hypothesis ever be established, then it will become manifest that the Universe at large, like every organism, was once homogeneous; that as a whole, and in every detail, it has unceasingly advanced towards greater heterogeneity; and that its heterogeneity is still increasing.
Far from being identical, these two facts are as distinct as any facts can be, and their distinction is so deep that it should be raised to the height of a principle, the principle of heterogeneity. This is almost exactly the reasoning that numbers of philosophers have repeated for several years without giving proof of much originality.
But while the entire assemblage of societies thus fulfils the law of evolution by increase of heterogeneity, while within each of them contrasts of structure, caused by differences of environments and entailed occupations, cause unlikenesses implying further heterogeneity, we may infer that the primary process of evolution integration which, up to the present time, has been displayed in the formation of larger and larger nations, will eventually reach a still higher stage, and bring yet greater benefits.
In any case philosophy retains as an inalienable possession the negative conclusion, that, in view of the heterogeneity of consciousness and motion, the inner life is not reducible to material phenomena.
Disregarding even their racial heterogeneity and the lack of ability to think as a nation, it is sufficient to point out that under liberal franchise privileges only about 3 per cent of the Filipinos vote and only 5 per cent of the people are said to read the public press.
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