FORE:The Scottish rebellion had been an auspicious circumstance for the arms of France. Marshal Saxe had taken the field, to the surprise of the Allies, in the very middle of winter, invested Brussels, and compelled it to surrender on the 20th of February, 1746. One town fell after another; Mons, Antwerp, Charleroi, and finally, Namur capitulated on the 19th of September, after a siege of only six days. As soon as Cumberland could leave Scotland after the battle of Culloden, he returned to London, in the hope that he should be appointed, covered, as he was, with his bloody laurels, to the supreme command of the Allied forces in Flanders, where he flattered himself he could arrest the progress of the French. But that command had been conferred on Prince Charles of Lorraine, the Emperor's brother, much to the disgust of both Cumberland and the king. On the 11th of October the Prince of Lorraine engaged the French at Raucoux, on the Jaar, and was signally defeated; the English cavalry, under General Ligonier, managing to save his army from total destruction, but not being able to stem the overthrow. At the close of the campaign the French remained almost entire masters of the Austrian Netherlands.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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