THREE:Those who will may see in all this an anticipation of chemical substitution and double decomposition. We can assure them that it will be by no means the most absurd parallel discovered between ancient and modern ideas. It is possible, however, to trace a more real connexion between the Aristotelian physics and mediaeval thought. We do not of361 course mean the scholastic philosophy, for there never was the slightest doubt as to its derivation; we allude to the alchemy and astrology which did duty for positive science during so many centuries, and even overlapped it down to the time of Newton, himself an ardent alchemist. The superstitions of astrology originated independently of the peripatetic system, and probably long before it, but they were likely to be encouraged by it instead of being repressed, as they would have been by a less anthropomorphic philosophy. Aristotle himself, as we have seen, limited the action of the heavens on the sublunary sphere to their heating power; but, by crediting them with an immortal reason and the pursuit of ends unknown to us, he opened a wide field for conjecture as to what those ends were, and how they could be ascertained. That the stars and planets were always thinking and acting, but never about our affairs, was not a notion likely to be permanently accepted. Neither was it easy to believe that their various configurations, movements, and names (the last probably revealed by themselves) were entirely without significance. From such considerations to the casting of horoscopes is not a far remove. The Aristotelian chemistry would still more readily lend itself to the purposes of alchemy. If Nature is one vast process of transmutation, then particular bodies, such as the metals, not only may, but must be convertible into one another. And even those who rejected Aristotle��s logic with scorn still clung to his natural philosophy when it flattered their hopes of gain. Bacon kept the theory of substantial forms. His originality consisted in looking for a method by which any form, or assemblage of forms might be superinduced at pleasure on the underlying matter. The real development of knowledge pursued a far different course. The great discoverers of the sixteenth and seventeenth centuries achieved their success by absolutely reversing the method of Aristotle, by bringing into fruitful contact principles which he had condemned to barren isolation.362 They carried terrestrial physics into the heavens; they brought down the absoluteness and eternity of celestial law to earth; they showed that Aristotle��s antithetical qualities were merely quantitative distinctions. These they resolved into modes of motion; and they also resolved all motions into one, which was both rectilinear and perpetual. But they and their successors put an end to all dreams of transmutation, when they showed by another synthesis that all matter, at least within the limits of our experience, has the changeless consistency once attributed exclusively to the stellar spheres.The next step was to create a method for determining the particular configuration on which any given property of matter depends. If such a problem could be solved at all, it would be by some new system of practical analysis. Bacon did not see this because he was a Schoolman, emancipated, indeed,377 from ecclesiastical authority, but retaining a blind faith in the power of logic. Aristotle��s Organon had been the great storehouse of aids to verbal disputation; it should now be turned into an instrument for the more successful prosecution of physical researches. What definitions were to the one, that Forms should be to the other; and both were to be determined by much the same process. Now Aristotle himself had emphatically declared that the concepts out of which propositions are constructed were discoverable by induction and by induction alone. With him, induction meant comparing a number of instances, and abstracting the one circumstance, if any, in which they agreed. When the object is to establish a proposition inductively, he has recourse to a method of elimination, and bids us search for instances which, differing in everything else, agree in the association of two particular marks.541 In the Topics he goes still further and supplies us with a variety of tests for ascertaining the relation between a given predicate and a given subject. Among these, Mill��s Methods of Difference, Residues, and Concomitant Variations are very clearly stated.542 But he does not call such modes of reasoning Induction. So far as he has any general name for them at all, it is Dialectic, that is, Syllogism of which the premises are not absolutely certain; and, as a matter of nomenclature, he seems to be right. There is, undoubtedly, a process by which we arrive at general conclusions from the comparison of particular instances; but this process in its purity is nothing more nor less than induction by simple enumeration. All other reasoning requires the aid of universal propositions, and is therefore, to that extent, deductive. The methods of elimination or, as they are now called, of experiment, involve at every step the assumption of378 general principles duly specified in the chapter of Mill��s Logic where they are analysed. And wherever we can rise immediately from, a single instance to a general law, it is because the examination of that single instance has been preceded by a chain of deductive reasoning.

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THREE:This search after a scientific basis for conduct was quite in the spirit of Socrates, but Plato seems to have set very little value on his master��s positive contributions to the systematisation of life. We have seen that the Apologia is purely sceptical in its tendency; and we find a whole group of Dialogues, probably the earliest of Plato��s compositions, marked by the same negative, inconclusive tone. These are commonly spoken of as Socratic, and so no doubt they are in reference to the subjects discussed; but they would be more accurately described as an attempt to turn the Socratic method against its first originator. We know from another source that tem183perance, fortitude, and piety were the chief virtues inculcated and practised by Socrates; while friendship, if not strictly speaking a virtue, was equally with them one of his prime interests in life. It is clear that he considered them the most appropriate and remunerative subjects of philosophical discussion; that he could define their nature to his own satisfaction; and that he had, in fact, defined them as so many varieties of wisdom. Now, Plato has devoted a separate Dialogue to each of the conceptions in question,119 and in each instance he represents Socrates, who is the principal spokesman, as professedly ignorant of the whole subject under discussion, offering no definition of his own (or at least none that he will stand by), but asking his interlocutors for theirs, and pulling it to pieces when it is given. We do, indeed, find a tendency to resolve the virtues into knowledge, and, so far, either to identify them with one another, or to carry them up into the unity of a higher idea. To this extent Plato follows in the footsteps of his master, but a result which had completely satisfied Socrates became the starting-point of a new investigation with his successor. If virtue is knowledge, it must be knowledge of what we most desire��of the good. Thus the original difficulty returns under another form, or rather we have merely restated it in different terms. For, to ask what is temperance or fortitude, is equivalent to asking what is its use. And this was so obvious to Socrates, that, apparently, he never thought of distinguishing between the two questions. But no sooner were they distinguished than his reduction of all morality to a single principle was shown to be illusive. For each specific virtue had been substituted the knowledge of a specific utility, and that was all. Unless the highest good were one, the means by which it was sought could not converge to a single point; nor, according to the new ideas, could their mastery come under the jurisdiction of a single art.

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