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The mixed constitution will be stable if it represents the actual balance of power between different classes in the state. When we come to Aristotle's analysis of existing constitutions, we find that while he regards them as imperfect approximations to the ideal, he also thinks of them as the result of the struggle between classes.
In this way the partial glimpses obtained by us in different modes differ from each other; not that God is anything but the most perfect unity, but that apparently conflicting views arise from our inability to apprehend Him, except in this imperfect manner, i.e. by successive slight approximations along different lines of approach.
With or without her witness, at any rate, she was led by comparison to a sense of the quantity of earnest intention operating, and operating so harmoniously, between her companions; and it was in the mitigated midnight of these approximations that she had made out the promise of her dawn.
We should be horrified were any serious attempt made to make the rule the basis of legislation in any civilized state today, but men have not always been so fastidious. Approximations to it have been incorporated into the laws of various peoples.
He was sometimes unluckily engaged in disputes with ladies, with whom algebraick axioms had no great weight, and saw many whose favour and esteem he could not but desire, to whom he was very little recommended by his theories of the tides, or his approximations to the quadrature of the circle.
We must needs use language, but we must use it always with the thought in our minds of its unreal exactness, its actual habitual deflection from fact. All propositions are approximations to an elusive truth, and we employ them as the mathematician studies the circle by supposing it to be a polygon of a very great number of sides. We must make use of terms and sometimes of provisional terms.
So, too, all thinkers, using the actual world in their processes, are at a disadvantage. The figures of the geometer, the quantities of the chemist, the measurements of the astronomer, are inexact approximations to their equivalent in the mind. Art, as an embodiment in mortal images, is subject to the conditions of mortality.
The ancients should not be wholly deprived of the credit of their guesses because they were unable to prove them. May they not have had, like the animals, an instinct of something more than they knew? Besides general notions we seem to find in the Timaeus some more precise approximations to the discoveries of modern physical science. First, the doctrine of equipoise.
Their conclusions are only true on certain suppositions, which are, or ought to be, approximations to the truth, but are seldom, if ever, exactly true; and to this hypothetical character is to be ascribed the peculiar certainty, which is supposed to be inherent in demonstration.
My explanation is that Mrs. Harrington is a woman and consequently ready to hear what she has been led to expect she would hear. As for Harrington, he is a devoted husband. For let us look at the matter with an open mind. Our alphabetical representations of animal sounds are at best only rough approximations. Most often they are not even that. They are mere arbitrary symbols.
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