ONE:I walked about a little longer to examine the damage done. The fine Pont des Arches was for the greater part destroyed by the retreating Belgians, as well as the Pont Maghin. This is a pity, especially as regards the first-named bridge, so famous as a work of art, and the more so as other bridges had not been touched and could be used by the Germans. The bombardment did not damage the town to any great extent, but it was remarkable that the largest houses had suffered most.The curious one shrugged his shoulders. Then a loud clear voice rang to the roof, the voice of a woman who declared that she could prove it. A ripple of amazement followed. Before it died away Hetty became conscious of the fact that the voice was hers, and that she had spoken.
TWO:The mere fact that Aristotle himself had pronounced in favour of the geocentric system did not count for much. The misfortune was that he had constructed an entire physical philosophy in harmony with it; that he had linked this to his metaphysics; and that the sensible experience on whose authority he laid so much stress, seemed to testify in its behalf. The consequence was that those thinkers who, without being professed Aristotelian partisans, still remained profoundly affected by the Peripatetic spirit, could not see their way to accepting a theory with which all the hopes of intellectual progress were bound up. These considerations will enable us to understand the attitude of Bacon towards the new astronomy; while, conversely, his position in this respect will serve to confirm the view of his character set forth in382 the preceding pages. The theory, shared by him with Aristotle, that Nature is throughout composed of Form and Matter reached its climax in the supposition that the great elementary bodies are massed together in a series of concentric spheres disposed according to some principle of graduation, symmetry, or contrast; and this seemed incompatible with any but a geocentric arrangement. It is true that Bacon quarrelled with the particular system maintained by Aristotle, and, under the guidance of Telesio, fell back on a much cruder form of cosmography; but his mind still remained dominated by the fancied necessity of conceiving the universe under the form of a stratified sphere; and those who persist in looking on him as the apostle of experience will be surprised to find that he treated the subject entirely from an priori point of view. The truth is that Bacon exemplified, in his own intellectual character, every one of the fundamental fallacies which he has so picturesquely described. The unwillingness to analyse sensible appearances into their ideal elements was his Idol of the Tribe; the thirst for material utilities was his Idol of the Den: the uncritical acceptance of Aristotles metaphysics, his Idol of the Theatre; and the undefined notions associated with induction, his Idol of the Market.
ONE:"You left that lady behind you?" he said. "Who is to testify to that? If you can prove such to be the case, why----"
TWO:CHAPTER XXI. MECHANICAL DRAWING.Nearly every hour another proclamation was posted; and this made the people still more nervous. One of them brought the information that the province of Lige had to pay a war-tax of fifty million francs. Another forbade the people to be out in the streets after six o'clock p.m.; the doors must remain open, the windows show the lights. Burning and shooting were threatened if any more arms should be found, and all houses were to be searched.
ONE:The Countess laughed lightly. Her mood seemed friendly.By assuming this or any other well-proved example, and estimating larger or smaller shafts by keeping their diameters as the cube root of the power to be transmitted, the distance between bearings as the diameter, and the speed inverse as the diameter, the reader will find his calculations to agree approximately with the modern practice of our best engineers. This is not mentioned to give proportions for shafts, so much as to call attention to accidental strains, such as winding belts, and to call attention to a marked discrepancy between actual practice and such proportions as would be given by what has been called the measured or determinable strains to which shafts are subjected.
TWO:In the theory of reasoning the simple proposition is taken as a starting-point; but instead of deducing the syllogism379 from the synthesis of two premises, Aristotle reaches the premises through the conclusion. He tells us, indeed, that reasoning is a way of discovering from what we know, something that we did not know before. With him, however, it is really a process not of discovery but of proof. He starts with the conclusion, analyses it into predicate and subject or major and minor, and then, by a further analysis, introduces a middle term connecting the two. Thus, we begin with the proposition, Caius is mortal, and prove it by interpolating the notion humanity between its two extremes. From this point of view the premises are merely a temporary scaffolding for bringing the major and minor into connexion with the middle term; and this is also the reason why Aristotle recognises three syllogistic figures only, instead of the four admitted by later logicians. For, the middle may either be contained in one extreme and contain the other, which gives us the first figure; or it may contain both, which gives the second figure; or be contained in both, which gives the third; and this is an exhaustive enumeration of the possible combinations.274
