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rom me. I may now frame the idea of a mathematical circle, in which all diameters are precisely equal, in express contrast to the series of ellipses, with very unequal diameters, which the floundering hoop has illustrated in its career. When once, however, the definition of the circle is attained, no watching of hoops is any longer requisite. The ellipse can be generated ideally out of the definition, and would have been generated, like asymptotes and hyperbolas, even if never illustrated in nature at all. Lemmas from a foreign tongue have only served to disclose a great fecundity in the native one, and the legitimate word that the context required has supplanted the casual stranger that may first have ushered it into the mind. When the idea which dialectic is to elaborate is a moral idea, a purpose touching something in the concrete world, lemmas from experience often play a very large part in the process. Their multitude, with the small shifts in aspiration and esteem which they may suggest to the mind, often obscures the dialectical process altogether. In this case the foreign term is never translated into the native medium; we never make out what ideal connection our conclusion has with our premises, nor in what way the conduct we finally decide upon is to fulfil the purpose with which we began. Reflection merely beats about the bush, and when a sufficient number of prejudices and impulses have been driven from cover, we go home satisfied with our day's ranging, and feeling that we have left no duty unconsidered; and our last bird is our final resolution. [Sidenote: Arrested rationality in morals.] When morality is in this way non-dialectical, casual, impulsive, polyglot, it is what we may call prerational morality. There is indeed reason in it, since every deliberate precept expresses some reflection by which impulses have been compared and modified. But such chance reflection amounts to moral perception, not to moral science. Reason has not begun to educate her children. This morality is like knowing chairs from tables and things near from distant things, which is hardly what we mean by natural science. On this stage, in the moral world, are the judgments of Mrs. Grundy, the aims of political parties and their maxims, the principles of war, the appreciation of art, the commandments of religious authorities, special revelations of duty to individuals, and all systems of intuitive ethics. [Sidenote: Its emo
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