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Updated: May 24, 2025
They are inwardly as incoherent as they are outwardly wayward and fitful. If they express anything, it is pure "bosh," pure discontinuity, accident, and disturbance, with no law apparent but to interrupt, and no purpose but to baffle. They seem like stray vestiges of that primordial irrationality, from which all our rationalities have been evolved.
We might think that a similar continuity ought to be there met with, that the universal character of the properties of matter forbade all real discontinuity between two different states, and that, in truth, the solid was a prolongation of the liquid state. To discover whether this supposition is correct, it concerns us to compare the properties of liquids and solids.
It follows since to-day discord is the rule, and Man has certainly lost the grace, both physical and mental, of the animals that at some period a break must have occurred in the evolution-process, a discontinuity similar perhaps to that which occurs in the life of a child at the moment when it is born into the world.
The strangest discontinuity of our world of appearance with the supposed world of absolute reality is asserted both by Bradley and by Royce; and both writers, the latter with great ingenuity, seek to soften the violence of the jolt. But it remains violent all the same, and is felt to be so by most readers.
It is even possible to understand why some insisted that if those privileges were, as Burke had argued, essential to the construction of the whole, it was against that whole, alike in purpose and in realization, that they were in revolt. For them the fact of discontinuity was vital.
To this possibility of decomposing matter as much as we please, and in any way we please, we allude when we speak of the continuity of material extension; but this continuity, as we see it, is nothing else but our ability, an ability that matter allows to us to choose the mode of discontinuity we shall find in it.
The spiritual connection between them is a more real bond of union than the visible discontinuity of material parts is ground for separating them in our thoughts.
A miracle is a discontinuity in the laws of nature brought to pass on a special occasion by a personal being in response to a prayer or in order to realize a given purpose. In this sense miracles are incompatible with the doctrine of necessity, and Maimonides's objections hold to-day, except for those to whom religion is independent of the Bible, tradition or any external authority.
It has further been shown that there is no discontinuity between these states that a gas passes into the liquid state through a condition which is neither one nor the other, and that a liquid body becomes solid, or a solid liquid, by the intermediation of a condition in which it is neither truly solid nor truly liquid.
There is implied that a stress changes its shape and dimensions, which in turn implies a limited mass and relative change of position of parts and some degree of discontinuity.
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