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Chuck-boring is employed in three cases; for holes of shallow depth, taper holes, and holes that are screw-threaded. As pieces are overhung in lathe-boring there is not sufficient rigidity neither of the lathe spindle nor of the tools to admit of deep boring. The tools being guided in a straight line, and capable of acting at any angle to the axis of rotation, the facilities for making tapered holes are complete; and as the tools are stationary, and may be instantly adjusted, the same conditions answer for cutting internal screw-threads; an operation corresponding to cutting external screws, except that the cross motions of the tool slide are reversed.

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VI.There seem to be three principal points aimed at in the very ingenious theory which we have endeavoured to summarise as adequately as space would permit. Zeller apparently wishes to bring Socrates into line with the great tradition of early Greek thought, to distinguish him markedly from the Sophists, and to trace back to his initiative the intellectual method of Plato and Aristotle. We cannot admit that the threefold attempt has succeeded. It seems to us that a picture into which so much Platonic colouring has been thrown would for that reason alone, and without any further objection, be open to very grave suspicion. But even accepting the historical accuracy of everything that Plato has119 said, or of as much as may be required, our critics inferences are not justified by his authorities. Neither the Xenophontic nor the Platonic Socrates seeks knowledge for its own sake, nor does either of them offer a satisfactory definition of knowledge, or, indeed, any definition at all. Aristotle was the first to explain what science meant, and he did so, not by developing the Socratic notion, but by incorporating it with the other methods independently struck out by physical philosophy. What would science be without the study of causation? and was not this ostentatiously neglected by the founder of conceptualism? Again, Plato, in the Theaettus, makes his Socrates criticise various theories of knowledge, but does not even hint that the critic had himself a better theory than any of them in reserve. The author of the Phaedo and the Republic was less interested in reforming the methods of scientific investigation than in directing research towards that which he believed to be alone worth knowing, the eternal ideas which underlie phenomena. The historical Socrates had no suspicion of transcendental realities; but he thought that a knowledge of physics was unattainable, and would be worthless if attained. By knowledge he meant art rather than science, and his method of defining was intended not for the latter but for the former. Those, he said, who can clearly express what they want to do are best secured against failure, and best able to communicate their skill to others. He made out that the various virtues were different kinds of knowledge, not from any extraordinary opinion of its preciousness, but because he thought that knowledge was the variable element in volition and that everything else was constant. Zeller dwells strongly on the Socratic identification of cognition with conduct; but how could anyone who fell at the first step into such a confusion of ideas be fitted either to explain what science meant or to come forward as the reformer of its methods? Nor is it correct to say that Socrates approached an object from every point of view, and took note of all its characteristic qualities. On the contrary, one would120 be inclined to charge him with the opposite tendency, with fixing his gaze too exclusively on some one quality, that to him, as a teacher, was the most interesting. His identification of virtue with knowledge is an excellent instance of this habit. So also is his identification of beauty with serviceableness, and his general disposition to judge of everything by a rather narrow standard of utility. On the other hand, Greek physical speculation would have gained nothing by a minute attention to definitions, and most probably would have been mischievously hampered by it. Aristotle, at any rate, prefers the method of Democritus to the method of Plato; and Aristotle himself is much nearer the truth when he follows on the Ionian or Sicilian track than when he attempts to define what in the then existing state of knowledge could not be satisfactorily defined. To talk about the various elementsearth, air, fire, and wateras things with which everybody was already familiar, may have been a crude unscientific procedure; to analyse them into different combinations of the hot and the cold, the light and the heavy, the dry and the moist, was not only erroneous but fatally misleading; it was arresting enquiry, and doing precisely what the Sophists had been accused of doing, that is, substituting the conceit for the reality of wisdom. It was, no doubt, necessary that mathematical terms should be defined; but where are we told that geometricians had to learn this truth from Socrates? The sciences of quantity, which could hardly have advanced a step without the help of exact conceptions, were successfully cultivated before he was born, and his influence was used to discourage rather than to promote their accurate study. With regard to the comprehensive all-sided examination of objects on which Zeller lays so much stress, and which he seems to regard as something peculiar to the conceptual method, it had unquestionably been neglected by Parmenides and Heracleitus; but had not the deficiency been already made good by their immediate successors? What else is the121 philosophy of Empedocles, the Atomists, and Anaxagoras, but an attemptwe must add, a by no means unsuccessful attemptto recombine the opposing aspects of Nature which had been too exclusively insisted on at Ephesus and Elea? Again, to say that the Sophists had destroyed physical speculation by setting these partial aspects of truth against one another is, in our opinion, equally erroneous. First of all, Zeller here falls into the old mistake, long ago corrected by Grote, of treating the class in question as if they all held similar views. We have shown in the preceding chapter, if indeed it required to be shown, that the Sophists were divided into two principal schools, of which one was devoted to the cultivation of physics. Protagoras and Gorgias were the only sceptics; and it was not by setting one theory against another, but by working out a single theory to its last consequences, that their scepticism was reached; with no more effect, be it observed, than was exercised by Pyrrho on the science of his day. For the two great thinkers, with the aid of whose conclusions it was attempted to discredit objective reality, were already left far behind at the close of the fifth century; and neither their reasonings nor reasonings based on theirs, could exercise much influence on a generation which had Anaxagoras on Nature and the encyclopaedia of Democritus in its hands. There was, however, one critic who really did what the Sophists are charged with doing; who derided and denounced physical science on the ground that its professors were hopelessly at issue with one another; and this critic was no other than Socrates himself. He maintained, on purely popular and superficial grounds, the same sceptical attitude to which Protagoras gave at least the semblance of a psychological justification. And he wished that attention should be concentrated on the very subjects which Protagoras undertook to teachnamely, ethics, politics, and dialectics. Once more, to say that Socrates was conscious of not coming up to his own122 standard of true knowledge is inconsistent with Xenophons account, where he is represented as quite ready to answer every question put to him, and to offer a definition of everything that he considered worth defining. His scepticism, if it ever existed, was as artificial and short-lived as the scepticism of Descartes.Besides the machine tools named, there are special machines to be found in most works, machines directed to the performance of certain work; by a particular adaptation such machines are rendered more effective, but they are by such adaptation unfitted for general purposes.
ONE: THREE:Those who will may see in all this an anticipation of chemical substitution and double decomposition. We can assure them that it will be by no means the most absurd parallel discovered between ancient and modern ideas. It is possible, however, to trace a more real connexion between the Aristotelian physics and mediaeval thought. We do not of361 course mean the scholastic philosophy, for there never was the slightest doubt as to its derivation; we allude to the alchemy and astrology which did duty for positive science during so many centuries, and even overlapped it down to the time of Newton, himself an ardent alchemist. The superstitions of astrology originated independently of the peripatetic system, and probably long before it, but they were likely to be encouraged by it instead of being repressed, as they would have been by a less anthropomorphic philosophy. Aristotle himself, as we have seen, limited the action of the heavens on the sublunary sphere to their heating power; but, by crediting them with an immortal reason and the pursuit of ends unknown to us, he opened a wide field for conjecture as to what those ends were, and how they could be ascertained. That the stars and planets were always thinking and acting, but never about our affairs, was not a notion likely to be permanently accepted. Neither was it easy to believe that their various configurations, movements, and names (the last probably revealed by themselves) were entirely without significance. From such considerations to the casting of horoscopes is not a far remove. The Aristotelian chemistry would still more readily lend itself to the purposes of alchemy. If Nature is one vast process of transmutation, then particular bodies, such as the metals, not only may, but must be convertible into one another. And even those who rejected Aristotles logic with scorn still clung to his natural philosophy when it flattered their hopes of gain. Bacon kept the theory of substantial forms. His originality consisted in looking for a method by which any form, or assemblage of forms might be superinduced at pleasure on the underlying matter. The real development of knowledge pursued a far different course. The great discoverers of the sixteenth and seventeenth centuries achieved their success by absolutely reversing the method of Aristotle, by bringing into fruitful contact principles which he had condemned to barren isolation.362 They carried terrestrial physics into the heavens; they brought down the absoluteness and eternity of celestial law to earth; they showed that Aristotles antithetical qualities were merely quantitative distinctions. These they resolved into modes of motion; and they also resolved all motions into one, which was both rectilinear and perpetual. But they and their successors put an end to all dreams of transmutation, when they showed by another synthesis that all matter, at least within the limits of our experience, has the changeless consistency once attributed exclusively to the stellar spheres.CHAPTER VI. GREEK PHILOSOPHY AND MODERN THOUGHT.

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ONE:Lawrence looked a little confused for a moment. He knew his own weakness in that respect.For a long time a search of the house disclosed nothing. Up and down they looked, but no trace of Leona Lalage could be found. Under the tiles of the roof was a small closet, and in a vague kind of way Lawrence poked his stick in there. Something soft yielded to his touch.
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ONE:Nor did I see any inhabitants in the burning78 town. It was practically impossible to stay in the streets; burning walls and roofs and gutters crashed down with a great noise, so that the streets were as much on fire as the houses themselves. Only at the crossings were any soldiers to be seen, who, in various stages of intoxication, constantly aimed at the burning houses, and shot everything that tried to escape from the burning stables and barns: pigs, horses, cows, dogs, and so on.
THREE:"I would give all I possess in the world to clear it, Lawrence."I guess I better explain, Jeff decided. I didnt think you was so suspicious and quick or Id of done different.

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THREE:Somebody had found her out. It must be so, because all her plans were anticipated by the terrible antagonist who worked in the dark. Her case was much like that of a despairing criminal who takes one huge sum to conceal the loss of another until the inevitable crash comes.

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FORE:When I was eating a little at one of the hotels near the railway station, I was offered the newspaper l'Ami de l'Ordre, which had appeared again for the first time on that day, September 7th, under the Censorship of the German authorities. For curiosity's sake I translate here the first leaderette, published under the rule of the new masters:

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FORE:

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FORE:"So this brave lady succeeded in getting the sentence of death withdrawn. But the Germans wanted to torture their wretched prisoners on any or no plea. They were placed near the church wall, kept standing there all night, were told that they would be shot by and by, and threatened by the soldiers with their bayonets.

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FORE:Even the most guilty when brought to book are not without some feeling of shame, however defiant they may appear, but it is a horrible thing when the innocent has to stand and answer to a criminal charge. A wave of indignation passed over Bruce, to be followed by utter helplessness.

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FORE:

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FORE:"Having gone so far, the rest is easy. And this is where my scheme comes in again. Bruce has to take his coat off. In the guise of the Spanish lady--a slight variation of my mysterious woman--you hang his coat up carefully in a closet for him. You knew that 200 in notes was in that pocket, notes that Bruce had come by quite honestly. The rest is easy."

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Chuck-boring is employed in three cases; for holes of shallow depth, taper holes, and holes that are screw-threaded. As pieces are overhung in lathe-boring there is not sufficient rigidity neither of the lathe spindle nor of the tools to admit of deep boring. The tools being guided in a straight line, and capable of acting at any angle to the axis of rotation, the facilities for making tapered holes are complete; and as the tools are stationary, and may be instantly adjusted, the same conditions answer for cutting internal screw-threads; an operation corresponding to cutting external screws, except that the cross motions of the tool slide are reversed.

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VI.There seem to be three principal points aimed at in the very ingenious theory which we have endeavoured to summarise as adequately as space would permit. Zeller apparently wishes to bring Socrates into line with the great tradition of early Greek thought, to distinguish him markedly from the Sophists, and to trace back to his initiative the intellectual method of Plato and Aristotle. We cannot admit that the threefold attempt has succeeded. It seems to us that a picture into which so much Platonic colouring has been thrown would for that reason alone, and without any further objection, be open to very grave suspicion. But even accepting the historical accuracy of everything that Plato has119 said, or of as much as may be required, our critics inferences are not justified by his authorities. Neither the Xenophontic nor the Platonic Socrates seeks knowledge for its own sake, nor does either of them offer a satisfactory definition of knowledge, or, indeed, any definition at all. Aristotle was the first to explain what science meant, and he did so, not by developing the Socratic notion, but by incorporating it with the other methods independently struck out by physical philosophy. What would science be without the study of causation? and was not this ostentatiously neglected by the founder of conceptualism? Again, Plato, in the Theaettus, makes his Socrates criticise various theories of knowledge, but does not even hint that the critic had himself a better theory than any of them in reserve. The author of the Phaedo and the Republic was less interested in reforming the methods of scientific investigation than in directing research towards that which he believed to be alone worth knowing, the eternal ideas which underlie phenomena. The historical Socrates had no suspicion of transcendental realities; but he thought that a knowledge of physics was unattainable, and would be worthless if attained. By knowledge he meant art rather than science, and his method of defining was intended not for the latter but for the former. Those, he said, who can clearly express what they want to do are best secured against failure, and best able to communicate their skill to others. He made out that the various virtues were different kinds of knowledge, not from any extraordinary opinion of its preciousness, but because he thought that knowledge was the variable element in volition and that everything else was constant. Zeller dwells strongly on the Socratic identification of cognition with conduct; but how could anyone who fell at the first step into such a confusion of ideas be fitted either to explain what science meant or to come forward as the reformer of its methods? Nor is it correct to say that Socrates approached an object from every point of view, and took note of all its characteristic qualities. On the contrary, one would120 be inclined to charge him with the opposite tendency, with fixing his gaze too exclusively on some one quality, that to him, as a teacher, was the most interesting. His identification of virtue with knowledge is an excellent instance of this habit. So also is his identification of beauty with serviceableness, and his general disposition to judge of everything by a rather narrow standard of utility. On the other hand, Greek physical speculation would have gained nothing by a minute attention to definitions, and most probably would have been mischievously hampered by it. Aristotle, at any rate, prefers the method of Democritus to the method of Plato; and Aristotle himself is much nearer the truth when he follows on the Ionian or Sicilian track than when he attempts to define what in the then existing state of knowledge could not be satisfactorily defined. To talk about the various elementsearth, air, fire, and wateras things with which everybody was already familiar, may have been a crude unscientific procedure; to analyse them into different combinations of the hot and the cold, the light and the heavy, the dry and the moist, was not only erroneous but fatally misleading; it was arresting enquiry, and doing precisely what the Sophists had been accused of doing, that is, substituting the conceit for the reality of wisdom. It was, no doubt, necessary that mathematical terms should be defined; but where are we told that geometricians had to learn this truth from Socrates? The sciences of quantity, which could hardly have advanced a step without the help of exact conceptions, were successfully cultivated before he was born, and his influence was used to discourage rather than to promote their accurate study. With regard to the comprehensive all-sided examination of objects on which Zeller lays so much stress, and which he seems to regard as something peculiar to the conceptual method, it had unquestionably been neglected by Parmenides and Heracleitus; but had not the deficiency been already made good by their immediate successors? What else is the121 philosophy of Empedocles, the Atomists, and Anaxagoras, but an attemptwe must add, a by no means unsuccessful attemptto recombine the opposing aspects of Nature which had been too exclusively insisted on at Ephesus and Elea? Again, to say that the Sophists had destroyed physical speculation by setting these partial aspects of truth against one another is, in our opinion, equally erroneous. First of all, Zeller here falls into the old mistake, long ago corrected by Grote, of treating the class in question as if they all held similar views. We have shown in the preceding chapter, if indeed it required to be shown, that the Sophists were divided into two principal schools, of which one was devoted to the cultivation of physics. Protagoras and Gorgias were the only sceptics; and it was not by setting one theory against another, but by working out a single theory to its last consequences, that their scepticism was reached; with no more effect, be it observed, than was exercised by Pyrrho on the science of his day. For the two great thinkers, with the aid of whose conclusions it was attempted to discredit objective reality, were already left far behind at the close of the fifth century; and neither their reasonings nor reasonings based on theirs, could exercise much influence on a generation which had Anaxagoras on Nature and the encyclopaedia of Democritus in its hands. There was, however, one critic who really did what the Sophists are charged with doing; who derided and denounced physical science on the ground that its professors were hopelessly at issue with one another; and this critic was no other than Socrates himself. He maintained, on purely popular and superficial grounds, the same sceptical attitude to which Protagoras gave at least the semblance of a psychological justification. And he wished that attention should be concentrated on the very subjects which Protagoras undertook to teachnamely, ethics, politics, and dialectics. Once more, to say that Socrates was conscious of not coming up to his own122 standard of true knowledge is inconsistent with Xenophons account, where he is represented as quite ready to answer every question put to him, and to offer a definition of everything that he considered worth defining. His scepticism, if it ever existed, was as artificial and short-lived as the scepticism of Descartes.Besides the machine tools named, there are special machines to be found in most works, machines directed to the performance of certain work; by a particular adaptation such machines are rendered more effective, but they are by such adaptation unfitted for general purposes.
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"What can it all mean?" she whispered.I always said whether you fly a crate full of passengers or handle one full of eggs, you get a good break sometimes!Sir A. Grant is on stronger, or rather on more inaccessible ground, when he uses the distinction between the two reasons as involving a sort of idealistic theory, because here Aristotles meaning is much less clearly expressed. Yet, if our interpretation be the correct one, if the creative Nous simply means the forms of things acting through the imagination on the possibilities of subjective conception, Aristotles view will be exactly the reverse of that contended for by Sir Alexander; thought, instead of moulding, will itself be moulded by external reality. In no case have we a right to set an obscure and disputed passage against Aristotles distinct, emphatic, and reiterated declarations, that sensation and ideation are373 substantially analogous processes, taken together with his equally distinct declaration, that the objects of sensation are independent of our feelings. We think, indeed, that Sir A. Grant will find, on reconsideration, that he is proving too much. For, if the things which reason creates were external to the mind, then Aristotle would go at least as far as those extreme German idealists from whom his expositor is anxious to separate him. Finally, we would observe that to set up Aristotles distinction between form and matter in opposition to the materialistic theories of the present day, shows a profound misconception of its meaning. Form and matter are nowhere distinguished from one another as subject and object. Form simply means the attributes of a thing, the entire aggregate of its differential characteristics. But that this does not of itself amount to conscious reason we are told by Aristotle himself.269 On the other hand, the matter to which some philosophers attribute an independent existence, is not his matter at all, but just the sum of things minus consciousness. The Stagirite did not, it is true, believe in the possibility of such a universe, but only (as we have shown) because he was not acquainted with the highest laws of motion. Yet, even taking matter in his own technical sense, Aristotle would have agreed with Prof. Tyndall, that it contained the promise and the potency of all future life, reason alone excepted. He tells us very clearly that the sensitive soul is a somatic function, something which, although not body, belongs to body; and this we conceive is all that any materialist would now contend for.270 And having gone so far, there really was nothing to prevent him from going a step farther, had he only been acquainted with the dependence of all intelligence on nervous action. At any rate, the tendency is now to obliterate the distinction where he drew it, and to substitute for it another distinction which he neglected. While all functions of consciousness, from the most elementary374 sensation to the most complex reasoning, seem to pass into one another by imperceptible gradations, consciousness in general is still separated from objective existence by an impassable chasm; and if there is any hope of reconciling them it lies in the absolute idealism which he so summarily rejected. What we have had occasion repeatedly to point out in other departments of his system, is verified once more in his psychology. The progress of thought has resulted from a reunion of the principles between which he drew a rigid demarcation. We have found that perception can only be understood as a process essentially homogeneous with the highest thought, and neither more nor less immaterial than it is. On the objective side, both may be resolved into sensori-motor actions; on the subjective side, into groups of related feelings. And here, also, we have to note that when Aristotle anticipates modern thought, it is through his one great mediating, synthetic conception. He observes incidentally that our knowledge of size and shape is acquired, not through the special senses, but by motionan aper?u much in advance of Locke.271VII.Patterns that are deep, and for castings that require to be parallel or square when finished, are made with the least possible amount of draught. If a pattern is a plain form, that affords [99] facilities for lifting or drawing, it may be drawn without taper if its sides are smooth and well finished. Pieces that are shallow and moulded often should, as a matter of convenience, have as much taper as possible; and as the quantity of draught can be as the depth of a pattern, we frequently see them made with a taper that exceeds one inch to the foot of depth.
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