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Updated: June 18, 2025
Acting alone, the river would cut a trench its own width, and were the rocks through which it saws one homogeneous mass, or of uniform texture and hardness, the width of the trench would probably have been very uniform and much less than it is now. The condition that has contributed to its great width is the heterogeneity of the different formations some hard and some soft.
A sweeping formula which allows us to foresee all the future avatars of the materialist doctrine, and to class them beforehand in the same category. The criticisms which have been directed against materialism are all, or nearly all, variations of the principle of heterogeneity.
Besides that orderly heterogeneity which distinguishes organisms, there is the disorderly or chaotic heterogeneity, into which a loose mass of inorganic matter lapses; and at present no reason has been given why the homogeneous germ of a plant or animal should not lapse into the disorderly instead of the orderly heterogeneity.
The more we investigate the state of the Celtic world in ancient times, the clearer it becomes, that in civilisation it was very far from being homogeneous, and this heterogeneity of civilisation must have had its influence on religion as well as on other social phenomena.
All life, whether organic or inorganic, consists, as we know, in a change from a state of simple homogeneity to one of complex heterogeneity. The process is apparently the same in a nebula or a brachiopod, although much more intricate in the latter.
With a heterogeneity of shades, when we mix the tints and neutralise them by one another, we easily create homogeneity; but take the result of this work, that is to say, the average final colour, and it will be impossible to reconstitute the wealth of the original. Do you desire a precise example of the work we must accomplish?
There was a suggestion of queerly disordered pictures superimposed one upon another; an arrangement in which the essentials of time as well as of space seemed dissolved and mixed in the most illogical fashion. In this kaleidoscopic vortex of phantasmal images were occasional snap-shots, if one might use the term, of singular clearness but unaccountable heterogeneity.
The opponents of the doctrine have not ceased to answer that the matter of to-morrow, like the matter of to-day, can generate none but material effects, and that a difficulty is not solved by putting off its solution to some indefinite date in our scientific evolution: and it certainly seems that the counter-stroke is decisive, if we admit the principle of heterogeneity with its natural consequence.
While philosophers take as a principle of idealism, that the mental can only know the mental, physiologists take, as a like principle, the heterogeneity existing, or supposed to exist, between the nerve impression and the sensation.
This deduction from the law which holds throughout the cosmos as now known to us, would have much weight even were it unsupported by induction; but a survey of chemical phenomena at large discloses several groups of inductive evidences supporting it. The first is that since the cooling of the Earth reached an advanced stage, the components of its crust have been ever increasing in heterogeneity.
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