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Updated: May 24, 2025
All modern chemistry is founded on this principle; and laws like the law of multiple proportions, introduce an evident discontinuity to which we find analogies in the law of electrolysis.
All along the curve of transformation the two states may exist in equilibrium, but we may assert that it is impossible to realize a continuous series of intermediaries between these two states. There will always be a more or less marked discontinuity in some of the properties.
The limitations of her trance information, its discontinuity and fitfulness, and its apparent inability to develop beyond a certain point, although they end by arousing one's moral and human impatience with the phenomenon, yet are, from a scientific point of view, amongst its most interesting peculiarities, since where there are limits there are conditions, and the discovery of them is always the beginning of an explanation.
Every one looked cheerful, in spite of the awful discontinuity of past and future, with every familiar association with material things dissevered; and the discipline and order were practically perfect. As these notes of mine must be short, I had better turn to my more generalized reflections. Two things in retrospect strike me especially, and are the most emphatic of all my impressions.
If the earth were wholly covered with water of a uniform depth, its climates would be distributed with greater regularity, and the perturbations of climate would be comparatively small and regular; though even under such circumstances there would still exist a tendency to discontinuity and complexity of movements from that influence of rain, the peculiar character of which we shall soon consider.
And yet again, if he did, may we, with all reverence for Lamb's exquisite genius, have permission to say that his own constitution of intellect sinned by this very habit of discontinuity. It was a habit of mind not unlikely to be cherished by his habits of life. Amongst these habits was the excess of his social kindness.
Form rose out of void solution and discontinuity; like united itself with like in definite arrangement: and soon either in actual vision and possession, or in fixed reasonable hope, the image of the whole Enterprise had shaped itself, so to speak, into a solid mass.
It is reasonable to expect that the vegetable merges into the mineral by the same insensible degrees, and that the one becomes the other without any real discontinuity. The change, if we may call it such, probably takes place in the interior world of matter among the primordial atoms, where only the imagination can penetrate.
As we go back in time, we meet with constant alternations of sea and land, of estuary and open ocean; and, in correspondence with these alternations, we observe the changes in the fauna and flora to which I have referred. But the inspection of these changes gives us no right to believe that there has been any discontinuity in natural processes.
It is always, in fact, the mode of discontinuity once chosen that appears to us as the actually real one and that which fixes our attention, just because it rules our action.
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