ONE: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. Aristotles 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, Mills 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 Mills 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.The fall of Granville became the revolution of all parties. The Pelhams, in order to prevent his return to the Ministry through the partiality of the king, determined to construct a Cabinet on what was called a broad bottomthat is, including some of both sections of the Whigs, and even some of the Tories. They opened a communication with Chesterfield, Gower, and Pitt, and these violent oppositionists were ready enough to obtain place on condition of uniting against Granville and Bath. The difficulty was to reconcile the king to them. George was not well affected towards Chesterfield, and would not consent to admit him to any post near his person, but permitted him, after much reluctance, to be named Lord-Lieutenant of Ireland. As for Pitt, he was even more repugnant to the king than Chesterfield, and Pitt, on his part, would accept nothing less than the post of Secretary at War. The Pelhams advised him to have patience and they would overcome the king's reluctance; but when they proposed that the Tory Sir John Hynde Cotton should have a place, George, in his anger, exclaimed, "Ministers are kings in this country!"and so they are for the time. After much negotiation and accommodating of interests and parties, the Ministry was ultimately arranged as follows:Lord Hardwicke remained Lord Chancellor; Pelham was First Lord of the Treasury and Chancellor of the Exchequer; the Duke of Newcastle became one Secretary of State, Lord Harrington the other; the Duke of Devonshire remained Steward of the Household; the Duke of Bedford was appointed First Lord of the Admiralty, with Lord Sandwich as Second Lord; Lord Gower was made Privy Seal; Lord Lyttelton became a member of the Treasury Board; Mr. Grenville was made a Junior Lord of the Admiralty; Sir John Hynde Cotton received the office of Treasurer of the Chamber in the Royal Household; and Bubb Doddington contrived to be included as Treasurer of the Navy. Lords Cobham and Hobart had also appointments; and the Duke of Dorset was made President of the Council.
