Studies in the Theory of Human Society

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The formulation of a law of nature can never be made absolutely exact. Scientific knowledge, therefore, is not that absolutely exact and certain knowledge which the popular mind assumes it to be. It is certainty or exact- ness within a range of error, and to diminish that range is the object of scientific endeavor. When, therefore, we are told that recent work in astronomy demonstrates that the Newtonian laws of motion and the law of gravitation, as Newton formulated it, have been corrected by ...a decimal or two, we are not told that these laws are invalid and that science, after making a splurge in the world, has arrived at bankruptcy, as M. Brunetiere dogmatically proclaimed ; we are told only what any modest scientific gentleman of fair mathematical attainments could very positively have ^ foretold.
^ That the ideas and the methods of Laplace greatly influenced the thought of Auguste Comte, we have abundant evidence. Al- though he was a teacher of mathematics, Comte did not develop his own generalizations by mathematical methods.


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