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which the ends,--which the exceptions and which the rules, in the government of the universe;--who consents to bear a little evil without denying the divine benevolence, but distinctly announces that a certain quantity of dry weather or stormy weather would force him to regard the Deity as the tyrant of his creatures. The great discovery by which Mr Sadler has, as he conceives, vindicated the ways of Providence is enounced with all the pomp of capital letters. We must particularly beg that our readers will peruse it with attention. "No one fact relative to the human species is more clearly ascertained, whether by general observation or actual proof, than that their fecundity varies in different communities and countries. The principle which effects this variation, without the necessity of those cruel and unnatural expedients so frequently adverted to, constitutes what I presume to call THE LAW OF POPULATION; and that law may be thus briefly enunciated:-- "THE PROLIFICNESS OF HUMAN BEINGS, OTHERWISE SIMILARLY CIRCUMSTANCED, VARIES INVERSELY AS THEIR NUMBERS. "The preceding definition may be thus amplified and explained. Premising, as a mere truism, that marriages under precisely similar circumstances will, on the average, be equally fruitful everywhere, I proceed to state, first, that the prolificness of a given number of marriages will, all other circumstances being the same, vary in proportion to the condensation of the population, so that that prolificness shall be greatest where the numbers on an equal space are the fewest, and, on the contrary, the smallest where those numbers are the largest." Mr Sadler, at setting out, abuses Mr Malthus for enouncing his theory in terms taken from the exact sciences. "Applied to the mensuration of human fecundity," he tells us, "the most fallacious of all things is geometrical demonstration;" and he again informs us that those "act an irrational and irrelevant part who affect to measure the mighty depth of God's mercies by their arithmetic, and to demonstrate, by their geometrical ratios, that it is inadequate to receive and contain the efflux of that fountain of life which is in Him." It appears, however, that it is not to the use of mathematical words, but only to the use of those words in their right senses that Mr Sadler objects. The law of inverse variation, or inverse proportion, is as much a part of mathematical science as the law of geometric progression. T
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