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Updated: May 3, 2025
The apparent indefiniteness and inconsistency of the classifications and definitions of Natural History belongs, in a far higher degree, to all other except mathematical speculations; and the modes in which approximations to exact distinctions and general truths have been made in Natural History, may be worthy our attention, even for the light they throw upon the best modes of pursuing truth of all kinds.
That the indirect method the method of conveying the meaning by a series of approximations is best fitted for the uncultivated, may indeed be inferred from their habitual use of it. The form of expression adopted by the savage, as in "Water, give me," is the simplest type of the approximate arrangement.
The figures, at best, are rough approximations. Their importance lies, not in their accuracy, but in the picture which they give of relationships. The Total Wealth of the United States, Classified by Groups, with the Percentage of the Total Wealth in Each Group Total Estimated Wealth Total of all groups $187,739 100
If the chess-board fashion becomes now, with seeming suddenness, the common although not the universal rule, that is probably the outcome of the developments sketched in the last chapter. Approximations to chess-board planning had been here and there employed in the century before Alexander.
But if we turn to pathology, it offers us some remarkable approximations to true Xenogenesis. As I have already mentioned, it has been known since the time of Vallisnieri and of Réaumur, that galls in plants, and tumours in cattle, are caused by insects, which lay their eggs in those parts of the animal or vegetable frame of which these morbid structures are outgrowths.
It is also so difficult that not to take the line of least resistance is fatuity. It is at least an approximation to ascribe the primacy of realism to Courbet, though ascriptions of the kind are at best approximations.
We may still take delight in its lovely proportions, its rich decoration, or its elastic and reedy moulding; but be assured, wherever shafts, or any approximations to the forms of shafts, are employed, for whatever office, or on whatever scale, be it in jambs or piers, or balustrades, or traceries, without capitals, there is a defiance of the natural laws of construction; and that, wherever such examples are found in ancient buildings, they are either the experiments of barbarism, or the commencements of decline.
Nor is this general disposition to find a coincidence between a fair exterior and moral excellence altogether unsupported by facts of, at least, a partial realization. For, though a perfect correspondence cannot be looked for in a state where all else is imperfect, he is most unfortunate who has never met with many, and very near, approximations to the desired union.
An important portion of the field of inductive knowledge does not consist of universal truths, but of approximations to such truths; and when a conclusion is said to rest on probable evidence, the premises it is drawn from are usually generalizations of this sort.
They showed their interest especially by the endowment of temples and monasteries. The temples were given great estates, and the peasants on those estates became temple servants. The land belonging to the temples was free from taxation. We have as yet no exact statistics of the Mongol epoch, only approximations.
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