TWO:But, notwithstanding these partial advantages, and though the duke and his army were enduring all the severities of a Highland winter, exposed to the cutting east winds on that inclement coast, and compelled to keep quarters for some time, Cumberland was steadily seizing every opportunity to enclose the Highlanders in his toils. His ships cut off all supplies coming by sea. They captured two vessels sent from France to their aid, on board of one of which they took the brother of the Duke of Berwick. The Hazard, a sloop which the Highlanders had seized and sent several times to France, was now pursued by an English cruiser, and driven ashore on the coast of Sutherland: on board her were a hundred and fifty men and officers, and ten thousand pounds in gold, which the clan Mackay, headed by Lord Reay, got possession of. This last blow, in addition to other vessels sent out to succour him being compelled to return to France, reduced Charles to the utmost[105] extremities. He had only five hundred louis-d'ors left in his chest, and he was obliged to pay his troops in meal, to their great suffering and discontent. Cumberland was, in fact, already conquering them by reducing them to mere feeble skeletons of men. The dry winds of March rendered the rivers fordable, and, as soon as it grew milder, he availed himself of this to coop the unhappy Highlanders up still more narrowly in their barren wilds, and stop all the passes into the Lowlands, by which they might obtain provisions. He himself lay at Aberdeen with strong outposts in all directions; Mordaunt at Old Meldrum, and Bland at Strathbogie. As soon as he received an abundance of provisions by a fleet of transports, along with Bligh's regiment, hearing that the Spey was fordable, on the 7th of April he issued orders to march, and the next day set forward himself from Aberdeen with Lord Kerr's dragoons and six regiments of foot, having the fleet still following along the shore with a gentle and fair wind. On reaching the Spey Lord John Drummond disputed their passage, having raised a battery to sweep the ford, and ranged his best marksmen along the shore. But the heavier artillery of the duke soon drove Lord John from the ground; he set fire to his barracks and huts, and left the ford open to the enemy, who soon got across. On Sunday, the 13th of April, the English advanced to Alves, and on the 14th reached Nairn. As the van, consisting of the Argyllshire men, some companies of Grenadiers, and Kingston's Light Horse, entered Nairn, the rear of Lord John Drummond had not quitted it, and there was skirmishing at the bridge. The Highlanders still retreated to a place called the Lochs of the Clans, about five miles beyond Nairn, where the prince came up with reinforcements, and, turning the flight, pursued the English back again to the main body of their army, which was encamped on the plain to the west of Nairn.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.
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