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THREE: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.From the time of Socrates on, the majority of Greeks, had they been asked what was the ultimate object of endeavour, or what made life worth living, would have answered, pleasure. But among professional philosophers such a definition of the60 supreme good met with little favour. Seeing very clearly that the standard of conduct must be social, and convinced that it must at the same time include the highest good of the individual, they found it impossible to believe that the two could be reconciled by encouraging each citizen in the unrestricted pursuit of his own private gratifications. Nor had such an idea as the greatest happiness of the greatest number ever risen above their horizon; although, from the necessities of life itself, they unconsciously assumed it in all their political discussions. The desire for pleasure was, however, too powerful a motive to be safely disregarded. Accordingly we find Socrates frequently appealing to it when no other argument was likely to be equally efficacious, Plato striving to make the private satisfaction of his citizens coincide with the demands of public duty, and Aristotle maintaining that this coincidence must spontaneously result from the consolidation of moral habits; the true test of a virtuous disposition being, in his opinion, the pleasure which accompanies its exercise. One of the companions of Socrates, Aristippus the Cyrenaean, a man who had cut himself loose from every political and domestic obligation, and who was remarkable for the versatility with which he adapted himself to the most varying circumstances, went still further. He boldly declared that pleasure was the sole end worth seeking, and on the strength of this doctrine came forward as the founder of a new philosophical school. According to his system, the summum bonum was not the total amount of enjoyment secured in a lifetime, but the greatest single enjoyment that could be secured at any moment; and this principle was associated with an idealistic theory of perception, apparently suggested by Protagoras, but carrying his views much further. Our knowledge, said Aristippus, is strictly limited to phenomena; we are conscious of nothing beyond our own feelings; and we have no right to assume the existence of any objects by which they are caused. The study of natural61 science is therefore waste of time; our whole energies should be devoted to the interests of practical life.123 Thus Greek humanism seemed to have found its appropriate sequel in hedonism, which, as an ethical theory, might quote in its favour both the dictates of immediate feeling and the sanction of public opinion.