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CHAPTER XIII

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As to the manner of cutting out or planing up the lumber for patterns, and the manner of framing them together, it is useless to devote space to the subject here; one hour's practical observation in a pattern-shop, and another hour spent in examining different kinds of patterns, is worth more to the apprentice than a whole volume written to explain how these last-named operations are performed. A pattern, unless finished with paint or opaque varnish, will show the manner in which the wood is disposed in framing the parts together."What did Mr. Balmayne tell you?" Hetty asked in reply.
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THREE:"I'm going to make a late call?" Leona Lalage said suddenly.

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TWO:The tall, slim pilot, grinned at the compliments and then went on working his jaws on the gum he habitually chewed.Designing, or generating the plans of machinery, may be considered the leading element in engineering manufactures or machine construction, that one to which all others are subordinate, [75] both in order and importance, and is that branch to which engineering knowledge is especially directed. Designing should consist, first, in assuming certain results, and, secondly, in conceiving of mechanical agents to produce these results. It comprehends the geometry of movements, the disposition and arrangement of material, the endurance of wearing surfaces, adjustments, symmetry; in short, all the conditions of machine operation and machine construction. This subject will be again treated of at more length in another section.

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TWO:We are here confronted with an important and much disputed question, Was Aristotle an empiricist? We hold most decidedly that he was, if by empiricist is meant, what alone should be meantone who believes that the mind neither anticipates anything in the content, nor contributes anything to the form of experience; in other words, who believes knowledge to be the agreement of thought with things imposed by things on thought. We have already shown, when discussing Sir A. Grants view to the contrary, that Aristotle was in no sense a transcendental idealist. The other half of our position is proved by the chapter in the Posterior Analytics already referred to, the language of which is prima facie so much in favour of our view that the burden of proof391 rests on those who give it another interpretation. Among these, the latest with whom we are acquainted is Zeller. The eminent German historian, after asserting in former editions of his work that Aristotle derived his first principles from the self-contemplation of the Nous, has now, probably in deference to the unanswerable arguments of Kampe, abandoned this position. He still, however, assumes the existence of a rather indefinable priori element in the Aristotelian noology, on the strength of the following considerations:In the first place, according to Aristotle, even sense-perception is not a purely passive process, and therefore intellectual cognition can still less be so (p. 190). But the passages quoted only amount to this, that the passivity of a thing which is raised from possibility to actuality differs from the passivity implied in the destruction of its proper nature; and that the objects of abstract thought come from within, not from without, in the sense that they are presented by the imagination to the reason. The pure empiricist need not deny either position. He would freely admit that to lose ones reason through drunkenness or disease is a quite different sort of operation from being impressed with a new truth; and he would also admit that we generalise not directly from outward experience, but from that highly-abridged and representative experience which memory supplies. Neither process, however, constitutes an anticipation of outward experience or an addition to it. It is from the materialist, not from the empiricist, that Aristotle differs. He believes that the forms under which matter appears are separable from every particular portion of matter, though not from all matter, in the external world; and he believes that a complete separation between them is effected in the single instance of self-conscious reason, which again, in cognising any particular thing is identified with that thing minus its matter. Zellers next argument is that the cognition of ideas by the Nous is immediate, whereas the process of generalisation from experience described by Aristotle392 is extremely indirect. Here Zeller seems to misunderstand the word ?μεσο?. Aristotle never applies it to knowledge, but only to the objective relations of ideas with one another. Two terms constitute an immediate premise when they are not connected by another term, quite irrespective of the steps by which we come to recognise their conjunction. So with the terms themselves. They are immediate when they cannot be derived from any ulterior principle; when, in short, they are simple and uncaused. Finally, the objection that first principles, being the most certain and necessary of any, cannot be derived from sensible experience, which, dealing only with material objects, must inherit the uncertainty and contingency of matter,is an objection, not to the empiricist interpretation of Aristotles philosophy, but to empiricism itself; and it is not allowable to explain away the plain words of an ancient writer in order to reconcile them with assumptions which he nowhere admits. That universality and necessity involve an priori cognition or an intellectual intuition, is a modern theory unsupported by a single sentence in Aristotle.287 We quite agree with Zeller when he goes on to say that in Aristotles psychology certain thoughts and notions arise through the action of the object thought about on the thinking mind, just as perception arises through the action of the perceived object on the percipient (p. 195); but how this differs from the purest empiricism is more than we are able to understand.

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TWO:Cores are employed mainly for what may be termed the displacement of metal in moulds. There is no clear line of distinction between cores and moulds, as founding is now conducted; cores may be of green sand, and made to surround the exterior of a piece, as well as to make perforations or to form recesses within it. The term 'core,' in its technical sense, means dried moulds, as distinguished from green sand. Wheels or other castings are said to be cast in cores when the moulds are made in pieces and dried. Supporting and venting cores, and their expansion, are conditions to which especial attention [95] is called. When a core is surrounded with hot metal, it gives off, because of moisture and the burning of the 'wash,' a large amount of gas which must have free means of escape. In the arrangement of cores, therefore, attention must be had to some means of venting, which is generally attained by allowing them to project through the sides of the mould and communicate with the air outside.Meanwhile, hedonism had been temporarily taken up by Plato, and developed into the earliest known form of utilitarianism. In his Protagoras, he endeavours to show that every virtue has for its object either to secure a greater pleasure by the sacrifice of a lesser pleasure, or to avoid a greater pain by the endurance of a lesser pain; nothing being taken into account but the interests of the individual agent concerned. Plato afterwards discarded the theory sketched in the Protagoras for a higher and more generous, if less distinctly formulated morality; but while ceasing to be a hedonist he remained a utilitarian; that is to say, he insisted on judging actions by their tendency to promote the general welfare, not by the sentiments which they excite in the mind of a conventional spectator.

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TWO:Leona made no reply. Her eyes were fixed moodily on space.We have seen how Greek thought had arrived at a perfectly just conception of the process by which all physical transformations are effected. The whole extended universe is an aggregate of bodies, while each single body is formed by a combination of everlasting elements, and is destroyed by their separation. But if Empedocles was right, if these primary substances were no other than the fire, air, water, and earth of everyday experience, what became of the Heracleitean law, confirmed by common observation, that, so far from remaining unaltered, they were continually passing into one another? To this question the atomic theory gave an answer so conclusive, that, although ignored or contemned by later schools, it was revived with the great revival of science in the sixteenth century, was successfully employed in the explanation of every order of phenomena, and still remains the basis of all physical enquiry. The undulatory theory of light, the law of universal gravitation, and the laws of chemical combination can only be expressed in terms implying the existence of atoms; the laws of gaseous diffusion, and of thermodynamics generally, can only be understood with their help; and the latest develop34ments of chemistry have tended still further to establish their reality, as well as to elucidate their remarkable properties. In the absence of sufficient information, it is difficult to determine by what steps this admirable hypothesis was evolved. Yet, even without external evidence, we may fairly conjecture that, sooner or later, some philosopher, possessed of a high generalising faculty, would infer that if bodies are continually throwing off a flux of infinitesimal particles from their surfaces, they must be similarly subdivided all through; and that if the organs of sense are honeycombed with imperceptible pores, such may also be the universal constitution of matter.26 Now, according to Aristotle, Leucippus, the founder of atomism, did actually use the second of these arguments, and employed it in particular to prove the existence of indivisible solids.27 Other considerations equally obvious suggested themselves from another quarter. If all change was expressible in terms of matter and motion, then gradual change implied interstitial motion, which again involved the necessity of fine pores to serve as channels for the incoming and outgoing molecular streams. Nor, as was supposed, could motion of any kind be conceived without a vacuum, the second great postulate of the atomic theory. Here its advocates directly joined issue with Parmenides. The chief of the Eleatic school had, as we have seen, presented being under the form of a homogeneous sphere, absolutely continuous but limited in extent. Space dissociated from matter was to him, as afterwards to Aristotle, non-existent and impossible. It was, he exclaimed, inconceivable, nonsensical. Unhappily inconceivability is about the worst negative criterion of truth ever yet invented. His challenge was now35 taken up by the Atomists, who boldly affirmed that if non-being meant empty space, it was just as conceivable and just as necessary as being. A further stimulus may have been received from the Pythagorean school, whose doctrines had, just at this time, been systematised and committed to writing by Philolaus, its most eminent disciple. The hard saying that all things were made out of number might be explained and confirmed if the integers were interpreted as material atoms.

THREE:Neither for aught that bringsMeanwhile a new and powerful agency was about to interpose with decisive effect in the doubtful struggle. This was the study of mathematics. Revived by the Arabians and never wholly neglected during the Middle Ages, it had profited by the general movement of the Renaissance, and was finally applied to the cosmical problem by Galileo. In this connexion, two points of profound philosophical interest must be noted. The first is that, even in its fall, the Aristotelian influence survived, to some extent, both for good and for evil. To Aristotle belongs the merit of having been the first to base astronomy on physics. He maintains the earths immobility on experimental no less than on speculative grounds. A stone thrown straight up in the air returns to its starting-point instead of falling to the west of it; and the absence of stellar385 parallax seems to show that there is no change in our position relatively to the heavenly bodies. After satisfying himself, on empirical considerations, that the popular astronomy is true, he proceeds to show that it must be true, by considerations on the nature of matter and motion, which, although mistaken, are conceived in a genuinely scientific spirit. Now Galileo saw that, to establish the Copernican system, he must first grapple with the Peripatetic physics, and replace it by a new dynamical theory. This, which he could hardly have effected by the ordinary mathematical methods, he did by borrowing the analytical method of Atomism and applying it to the measurement of motion. The law of falling bodies was ascertained by resolving their descent into a series of moments, and determining its rate of velocity at successive intervals; and curvilinear motions were similarly resolved into the combination of an impulsive with an accelerating force, a method diametrically opposed to that of Bacon, who would not even accept the rough analysis of the apparent celestial motions proposed by Greek astronomers.
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FORE:"All right," Hetty said cheerfully. "I'll go and get it for you."

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