Answering to the first principles of demonstration in logic, if not absolutely identical with them, are what Aristotle calls causes in the nature of things. We have seen what an important part the middle term plays in Aristotles theory of the syllogism. It is the vital principle of demonstration, the connecting link by which the two extreme terms are attached to one another. In the theory of applied logic, whose object is to bring the order of thought into complete parallelism with the order of things, the middle term through which a fact is demonstrated answers to the cause through which it exists. According to our notions, only two terms, antecedent and consequent, are involved in the idea of causation; and causation only becomes a matter for reasoning when we perceive that the sequence is repeated in a uniform manner. But Aristotle was very far from having reached, or even suspected, this point of view. A cause is with him not a determining antecedent, but a secret nexus by which the co-existence of two phenomena is explained. Instead of preceding it intercedes; and this is why he finds its subjective counterpart in the middle term of the syllogism. Some of his own examples will make the matter clearer. Why is the moon eclipsed? Because the earth intervenes between her and the sun. Why is the bright side of the moon always turned towards the sun? Because she shines by his reflected light (here light is the middle term). Why is that person talking to the rich man? Because he wants to borrow money of him. Why are those two men friends? Because they have the same enemy.281
Keeping this in view, and referring to an ordinary planing machine with which the reader is presumed to be familiar, the focal point of the cutting strain is at the edge of the tools, and radiates from this point as from a centre to the various parts of the machine frame, and through the joints fixed and movable between the tools and the frame; to follow back from this cutting point through the mechanism to the frame proper; first starting with the tool and its supports and going to the main frame; then starting from the material to be planed, and following back in the other direction, until we reach the point where the strains are absorbed by the main frame, examining the joints which intervene in the two cases, there will appear some reasons for running carriages.
TWO:"Horrible!" I sighed. "Have they not yet hit the bridge?"
ONE:X.For the rest the transports were not much troubled now, for obviously the bridge was no longer the objective of the Belgian guns. At Vis I was even told that Fort Pontisse had just been57 taken and only Lierce could harass the troops, who, after crossing the bridge, advanced towards Tongeren.
THREE:"Well, sir, I wanted to follow, as far as the German Authorities desire to allow it, the movements of the German armies, in order to give reliable information to the Netherland public, who take a great interest in your progress."
THREE:
THREE:
TWO:"I owe you a deep apology," the Countess whispered, as she held Bruce's hand. "I was exceedingly rude to you the other night. I ought to have waited for your ice, and more especially, I ought to have waited to congratulate you. I am very glad for Hetty's sake. She is a good girl, and I shall miss her."
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TWO:Glory-gosh! he exclaimed, staring.
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THREE:To master the various details of machine manufacture, including draughting, founding, forging, and fitting, is of itself a work equal to most professional pursuits, to say nothing of manual skill; and when we come to add machine functions and their application, generating and transmitting power, with other things that will necessarily be included in practice, the task assumes proportions that makes it appear a hopeless one. Besides, the work of keeping progress with the mechanic arts calls for a continual accretion of knowledge; and it is no small labour to keep informed of the continual changes and improvements that are going on in all parts of the world, which may at any time modify and change both machines and processes. But few men, even under the most favourable conditions, have been able to qualify themselves as competent mechanical engineers sooner than at forty years of age.II.
THREE:"We remind the citizens that by order of the general commanding the German troops, those who have arms in their possession must deliver them immediately to the authorities at the Provincial Palace under penalty of being shot.
THREE:"Murder!" he yelled. "Police, arrest that woman; she has tried to kill me!"He must have the diamonds back again. The old man could never have proved that they had come back once more into Leona Lalage's possession by means of a clever plan, but he was in a position now to say and do a great deal of mischief. But for the accident to the motor, things would have been different.
THREE:The amphibian can set down on the water and shell pass the placealready theres somebody climbing out of the front cockpit onto the wingto grab the thing as they pass! Sandy muttered."Where did you get that key from?" she asked.
THREE:"Dinant had 7,600 inhabitants, of whom ten per cent. were put to death; not a family exists which has not to mourn the death of some victims; many families have been exterminated completely."The following propositions will place this subject of aims and objects before the reader in the sense intended:
THREE:In practice, the truth of this proposition is fully demonstrated by the excess in the number of lathes and boring tools compared with those for planing.The reformed system of education was to be not only moral and religious but also severely scientific. The place given to mathematics as the foundation of a right intellectual training is most remarkable, and shows how truly Plato apprehended the conditions under which knowledge is acquired and enlarged. Here, as in other respects, he is, more even than Aristotle, the precursor of Auguste Comte. He arranges the mathematical sciences, so far as they then existed, in their logical order; and his remarks on the most general ideas suggested by astronomy read like a divination of rational mechanics. That a recommendation of such studies should be put into the mouth of Socrates is a striking incongruity. The older Plato grew the farther he seems to have advanced from the humanist to the naturalistic point of view; and, had he been willing to confess it, Hippias and Prodicus were the teachers with whom he finally found himself most in sympathy.
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ONE:For the restrictions under which Aristotle thought were not determined by his personality alone; they followed on the logical development of speculation, and would have imposed themselves on any other thinker equally capable of carrying that development to its predetermined goal. The Ionian search for a primary cause and substance of nature led to the distinction, made almost simultaneously, although from opposite points of view, by Parmenides and Heracleitus, between appearance and reality. From that distinction sprang the idea of mind, organised by Socrates into a systematic study of ethics and dialectics. Time and space, the necessary conditions of physical causality, were eliminated from a method having for its form the eternal relations of difference and resemblance, for its matter the present interests of humanity. Socrates taught that before enquiring whence things come we must first determine what it is they are.322 Hence he reduced science to the framing of exact definitions. Plato followed on the same track, and refused to answer a single question about anything until the subject of investigation had been clearly determined. But the form of causation had taken such a powerful hold on Greek thought, that it could not be immediately shaken off; and Plato, as he devoted more and more attention to the material universe, saw himself compelled, like the older philosophers, to explain its construction by tracing out the history of its growth. What is even more significant, he applied the same method to ethics and politics, finding it easier to describe how the various virtues and types of social union came into existence, than to analyse and classify them as fixed ideas without reference to time. Again, while taking up the Eleatic antithesis of reality and appearance, and re-interpreting it as a distinction between noumena and phenomena, ideas and sensations, spirit and matter, he was impelled by the necessity of explaining himself, and by the actual limitations of experience to assimilate the two opposing series, or, at least, to view the fleeting, superficial images as a reflection and adumbration of the being which they concealed. And of all material objects, it seemed as if the heavenly bodies, with their orderly, unchanging movements, their clear brilliant light, and their remoteness from earthly impurities, best represented the philosophers ideal. Thus, Plato, while on the one side he reaches back to the pre-Socratic age, on the other reaches forward to the Aristotelian system.We are now in a position to understand the full force of Descartes Cogito ergo sum. It expresses the substantiality of self-conscious Form, the equal claim of thought with extension to be recognised as an element of the universe. This recognition of self-consciousness as the surest reality was, indeed, far from being new. The Greek Sceptics had never gone to the length of doubting their own personal existence. On the contrary, they professed a sort of subjective idealism. Refusing to go beyond their own consciousness, they found in its undisturbed self-possession the only absolute satisfaction that life could afford. But knowledge and reality had become so intimately associated with something independent of mind, and mind itself with a mere reflection of reality, that the denial of an external world393 seemed to the vulgar a denial of existence itself. And although Aristotle had found the highest, if not the sole absolute actuality in self-thinking thought, he projected it to such a distance from human personality that its bearing on the sceptical controversy had passed unperceived. Descartes began his demonstration at the point where all the ancient systems had converged, but failed to discover in what direction the conditions of the problem required that they should be prolonged. No mistake can be greater than to regard him as the precursor of German philosophy. The latter originated quite independently of his teaching, though not perhaps of his example, in the combination of a much profounder scepticism with a much wider knowledge of dogmatic metaphysics. His method is the very reverse of true idealism. The Cogito ergo sum is not a taking up of existence into thought, but rather a conversion of thought into one particular type of existence. Now, as we have seen, all other existence was conceived as extension, and however carefully thought might be distinguished from this as absolutely indivisible, it was speedily reduced to the same general pattern of inclusion, limitation, and expansion. Whereas Kant, Fichte, and Hegel afterwards dwelt on the form of thought, Descartes attended only to its content, or to that in which it was contained. In other words, he began by considering not how he thought but what he thought and whence it camehis ideas and their supposed derivation from a higher sphere. Take, for example, his two great methods for proving the existence of God. We have in our minds the idea of a perfect beingat least Descartes professed to have such an idea in his mind,and we, as imperfect beings, could not have originated it for ourselves. It must, therefore, have been placed there by a perfect being acting on us from without. It is here taken for granted that the mechanical equivalence between material effects and their causes must obtain in a world where spatial relations, and therefore measurement, are presumably394 unknown. And, secondly, existence, as a perfection, is involved in the idea of a perfect being; therefore such a being can only be conceived as existing. Here there seems to be a confused notion that because the properties of a geometrical figure can be deduced from its definition, therefore the existence of something more than a simple idea can be deduced from the definition of that idea itself. But besides the mathematical influence, there was evidently a Platonic influence at work; and one is reminded of Platos argument that the soul cannot die because it participates in the idea of life. Such fallacies were impossible so long as Aristotles logic continued to be carefully studied, and they gradually disappeared with its revival. Meanwhile the cat was away, and the mice used their opportunity.
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This, then, was the revolution effected by Aristotle, that he found Greek thought in the form of a solid, and unrolled into a surface of the utmost possible tenuity, transparency, and extension. In so doing, he completed what Socrates and Plato had begun, he paralleled the course already described by Greek poetry, and he offered the first example of what since then has more than once recurred in the history of philosophy. It was thus that the residual substance of Locke and Berkeley was resolved into phenomenal succession by Hume. It was thus that the unexplained reality of Kant and Fichte was drawn out into a play of logical relations by Hegel. And, if we may venture on a forecast of the future towards which speculation is now advancing, it is thus that the limits imposed on human knowledge by positivists and agnostics in our own day, are yielding to the criticism of those who wish to establish either a perfect identity or a perfect equation between consciousness and being. This is the position represented in France by M. Taine, a thinker offering many points of resemblance to Aristotle, which it would be interesting to work out had we space at our command for the purpose. The forces which are now guiding English philosophy in an analogous direction have hitherto escaped observation on account of their disunion among themselves, and their intermixture with others of a different character. But on the whole we may say that the philosophy of Mill and his school corresponds very nearly in its practical idealism to Platos teaching; that Mr. Herbert Spencer approaches326 Aristotle on the side of theorising systematisation, while sharing to a more limited extent the metaphysical and political realism which accompanied it: that Lewes was carrying the same transformation a step further in his unfinished Problems of Life and Mind; that the philosophy of Mr. Shadworth Hodgson is marked by the same spirit of actuality, though not without a vista of multitudinous possibilities in the background; that the Neo-Hegelian school are trying to do over again for us what their master did in Germany; and that the lamented Professor Clifford had already given promise of one more great attempt to widen the area of our possible experience into co-extension with the whole domain of Nature.209Nor in his childhood, nor in youth, nor whenWhere the Cynics left off the Stoics began. Recognising simple self-preservation as the earliest interest and duty of man, they held that his ultimate and highest good was complete self-realisation, the development of that rational, social, and beneficent nature which distinguishes him from the lower21 animals.49 Here their teleological religion came in as a valuable sanction for their ethics. Epicttus, probably following older authorities, argues that self-love has purposely been made identical with sociability. The nature of an animal is to do all things for its own sake. Accordingly God has so ordered the nature of the rational animal that it cannot obtain any particular good without at the same time contributing to the common good. Because it is self-seeking it is not therefore unsocial.50 But if our happiness depends on external goods, then we shall begin to fight with one another for their possession:51 friends, father, country, the gods themselves, everything will, with good reason, be sacrificed to their attainment. And, regarding this as a self-evident absurdity, Epicttus concludes that our happiness must consist solely in a righteous will, which we know to have been the doctrine of his whole school.He smiled into the face of the man whose good name he might have cleared, but he gave no sign. So hard and callous a nature was impervious to kindness. Anybody who did a kind action for its own sake was a fool in Balmayne's eyes.Before entering on the chain of reasoning which led Aristotle to postulate the existence of a personal First Cause, we must explain the difference between his scientific standpoint, and that which is now accepted by all educated minds. To him the eternity not only of Matter, but also of what he called Form,that is to say, the collection of attributes giving definiteness to natural aggregates, more especially those known as organic specieswas an axiomatic certainty. Every type, capable of self-propagation, that could exist at all, had existed, and would continue to exist for ever. For this, no explanation beyond the generative power of Nature was required. But when he had to account for the machinery by which the perpetual alternation of birth and death below, and the changeless revolutions of the celestial spheres above the moon were preserved, difficulties arose. He had reduced every other change to transport through space; and with regard to this his conceptions were entirely mistaken. He believed that moving matter tended to stop unless it was sustained by some external force; and whatever their advantages over him in other respects, we cannot say that the Atomists were in a position to correct him here: for their349 theory, that every particle of matter gravitated downward through infinite space, was quite incompatible with the latest astronomical discoveries. Aristotle triumphantly showed that the tendency of heavy bodies was not to move indefinitely downwards in parallel lines, but to move in converging lines to the centre of the earth, which he, in common with most Greek astronomers, supposed to be also the centre of the universe; and seeing light bodies move up, he credited them with an equal and opposite tendency to the circumference of the universe, which, like Parmenides and Plato, he believed to be of finite extent. Thus each kind of matter has its appropriate place, motion to which ends in rest, while motion away from it, being constrained, cannot last. Accordingly, the constant periodicity of terrestrial phenomena necessitates as constant a transformation of dry and wet, and of hot and cold bodies into one another. This is explained with perfect accuracy by the diurnal and annual revolutions of the sun. Here, however, we are introduced to a new kind of motion, which, instead of being rectilinear and finite, is circular and eternal. To account for it, Aristotle assumes a fifth element entirely different in character from the four terrestrial elements. Unlike them, it is absolutely simple, and has a correspondingly simple mode of motion, which, as our philosopher erroneously supposes, can be no other than circular rotation.
