The confusion of Induction, properly so called, and Elimination under a single name, is largely due to the bad example set by Bacon. He found it stated in the Analytics that all concepts and general propositions are established either by syllogism or by induction; and he found some very useful rules laid down in the Topics, not answering to what he understood by the former method; he therefore summarily dubbed them with the name of Induction, which they have kept ever since, to the incalculable confusion of thought.
ONE:
TWO:The whole strange affair looked queer to him.
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ONE:Surely they were a long time getting that hot water. In such a case as this hurry was everything. Bruce crept from the room and looked over the banisters. The whole place was in darkness!
TWO:"Got your case complete?" asked the latter.(1.) How may mechanical be distinguished from civil engineering?(2.) What test can be applied to determine the progress made in any branch of engineering?(3.) What are some of the conditions which prevent the use of constants in machine construction?(4.) Is mechanical engineering likely to become more exact and scientific?(5.) Name some of the principal branches of mechanical engineering.(6.) Which is the most extensive and important?
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ONE:
TWO:Castings are of course sprung by the action of unequal strains, caused by one part cooling or 'setting' sooner than another. That far all is clear, but the next step takes us into the dark. What are the various conditions which induce irregular cooling, and how is it to be avoided?
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TWO:Parmenides, of Elea, flourished towards the beginning of the fifth century B.C. We know very little about his personal history. According to Plato, he visited Athens late in life, and there made the acquaintance of Socrates, at that time a very young man. But an unsupported statement of Platos must always be received with extreme caution; and this particular story is probably not less fictitious than the dialogue which it serves to introduce. Parmenides embodied his theory of the world in a poem, the most important passages of which have been preserved. They show that, while continuing the physical studies of his predecessors, he proceeded on an entirely different method. Their object was to deduce every variety of natural phenomena from a fundamental unity of substance. He declared that all variety and change were a delusion, and that nothing existed but one indivisible, unalterable, absolute reality; just as Descartes antithesis of thought and extension disappeared in the infinite substance of Spinoza, or as the Kantian dualism of object and subject was eliminated in Hegels absolute idealism. Again, Parmenides does not dogmatise to the same extent as his predecessors; he attempts to demonstrate his theory by the inevitable necessities of being and thought. Existence, he tells us over and over again, is, and non-existence is not, cannot even be imagined or thought of as existing, for thought is the same as being. This is not an anticipation of Hegels identification of being with thought; it only amounts to the very innocent proposition that a thought is something and about somethingenters, therefore, into the general undiscriminated mass of being. He next proceeds to prove that what is can neither come into being nor pass out of it again. It cannot come out of the non-existent, for that is inconceivable; nor out of the existent, for nothing exists but being itself; and the same argument proves that it cannot cease to exist. Here we find the indestructibility of matter, a truth which Anaximander18 had not yet grasped, virtually affirmed for the first time in history. We find also that our philosopher is carried away by the enthusiasm of a new discovery, and covers more ground than he can defend in maintaining the permanence of all existence whatever. The reason is that to him, as to every other thinker of the pre-Socratic period, all existence was material, or, rather, all reality was confounded under one vague conception, of which visible resisting extension supplied the most familiar type. To proceed: Being cannot be divided from being, nor is it capable of condensation or expansion (as the Ionians had taught); there is nothing by which it can be separated or held apart; nor is it ever more or less existent, but all is full of being. Parmenides goes on in his grand style:
FORE:VII.Doctrines like these, if consistently carried out, would have utterly destroyed so much of morality as depends on the social sanction; while, by inculcating the absolute indifference of44 external actions, they might ultimately have paralysed the individual conscience itself. But the Stoics were not consistent. Unlike some modern moralists, who are ready to forgive every injury so long as they are not themselves the victims, our philosophers were unsparing in their denunciations of wrong-doing; and it is very largely to their indignant protests that we are indebted for our knowledge of the corruption prevalent in Roman society under the Empire. It may even be contended that, in this respect, our judgment has been unfairly biassed. The picture drawn by the Stoics, or by writers trained under their influence, seems to have been too heavily charged with shadow; and but for the archaeological evidence we should not have known how much genuine human affection lay concealed in those lower social strata whose records can only be studied on their tombs.99 It was among these classes that Christianity found the readiest acceptance, simply because it gave a supernatural sanction to habits and sentiments already made familiar by the spontaneous tendencies of an unwarlike rgime.
FORE:"What I have said. You murdered my wife as surely as if you had driven a knife into her breast. She found you out in my absence. And to shield yourself and come between husband and wife you forged an infamous letter. Oh, you well knew the emotional nature you had to deal with, you counted on it. That forgery had the desired effect, and my wife poisoned herself. You would have got that letter back, but I returned unexpectedly. I kept that letter which would have saved my good name, but I preferred to remain silent so that it might go to the world that my wife had found no suicide's grave. I have that letter.""From Miss Lawrence's evidence at the first inquest. Also the evidence of the reporter. The car was draped, they said. In places it shone. Those places were where the lead was rubbed off; you could make the car sombre black and brilliantly light at will.
FORE:Not a single person was seen on the road, and everything went well until we got to the village of Veldwezelt. Suddenly, quite unexpectedly, a violent rifle fire and a continued whistling of bullets was heard from the neighbourhood of a house close by. Although the soldiers later on asserted to the contrary, I was sure that the firing did not come from the house, but from some underwood near by.
FORE:As reading books of fiction sometimes expands the mind and enables it to grasp great practical truths, so may a study of abstract principles often enable us to comprehend the simplest forms of mechanism. Even Humboldt and Agassiz, it is said, [32] resorted sometimes to imaginative speculations as a means of enabling them to grasp new truths.
FORE:"I am very much afraid I shan't be able, but come along, and we'll try together."
FORE:
FORE:"And I shall never go till I can make some arrangements for Mamie," Hetty said. "Of course the secret cannot be kept much longer, and then I suppose everything will be seized by the creditors. But even the servants are in the dark as yet."
TWO:He pitched the glittering gauds contemptuously on the desk. Leona examined them carefully So far as she could see no change had been made. And where the stones had been filed she could see the dull scratched edges. Was this the work of the hidden enemy or another cruel stroke of ill fortune?During the occupation a war contribution of 150,000 francs in silver had been imposed on Bilsen, although there was hardly any silver left in the place. This punishment was inflicted because Belgian soldiers had destroyed the railway in two places.
TWO:Plato was born in the year 429, or according to some accounts 427, and died 347 B.C. Few incidents in his biography can be fixed with any certainty; but for our purpose the most general facts are also the most interesting, and about these we have tolerably trustworthy information. His family was one of the noblest in Athens, being connected on the fathers side with Codrus, and on the mothers with Solon; while two of his kinsmen, Critias and Charmides, were among the chiefs of the oligarchic party. It is uncertain whether he inherited any considerable property, nor is the question one of much importance. It seems clear that he enjoyed the best education Athens could afford, and that through life he possessed a competence sufficient to relieve him from the cares of material existence. Possibly the preference which he expressed, when far advanced in life, for moderate health and190 wealth arose from having experienced those advantages himself. If the busts which bear his name are to be trusted, he was remarkably beautiful, and, like some other philosophers, very careful of his personal appearance. Perhaps some reminiscences of the admiration bestowed on himself may be mingled with those pictures of youthful loveliness and of its exciting effect on the imaginations of older men which give such grace and animation to his earliest dialogues. We know not whether as lover or beloved he passed unscathed through the storms of passion which he has so powerfully described, nor whether his apparently intimate acquaintance with them is due to divination or to regretful experience. We may pass by in silence whatever is related on this subject, with the certainty that, whether true or not, scandalous stories could not fail to be circulated about him.
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TWO:"I have a plan already arranged. It requires a great sacrifice, but you will have to make it. Give me those diamonds."
For neither house nor city flanked with towersWomen and children had frequently been ill-treated in a most atrocious manner, aged and sick people were dragged out of the houses, and flung down in the street. This happened, for example, to an old man, who lay dying in his cellar. In spite of the supplications of his wife and two sons, he was flung on the cobbles, where he died soon. The sons were taken prisoners and sent away. His widow assists at present nursing other unfortunates at Professor Noyons' hospital.It is probable that the philanthropic tendencies of the Stoics were, to a great extent, neutralised by the extreme individualism which formed the reverse side of their philosophical character; and also by what may be called the subjective idealism of their ethics. According to their principles, no one can really do good to any one else, since what does not depend on my will is not a good to me. The altruistic virtues are valuable, not as sources of beneficent action, but as manifestations of benevolent sentiment. Thus, to set on foot comprehensive schemes for the relief of human suffering seemed no part of the Stoics business. And the abolition of slavery, even had it been practicable, would have seemed rather superfluous to one who held that true freedom is a mental condition within the reach of all who desire it,88 while the richest and most powerful may be, and for the most part actually are, without it. Moreover, at the time when41 philosophy gained its greatest ascendency, the one paramount object of practical statesmen must have been to save civilisation from the barbarians, a work to which Marcus Aurelius devoted his life. Hence we learn without surprise that the legislative efforts of the imperial Stoic were directed to the strengthening, rather than to the renovation, of ancient institutions.89 Certain enactments were, indeed, framed for the protection of those who took part in the public games. It was provided, with a humanity from which even our own age might learn something, that performers on the high rope should be ensured against the consequences of an accidental fall by having the ground beneath them covered with feather beds; and the gladiators were only allowed to fight with blunted weapons.90 It must, however, be noted that in speaking of the combats with wild beasts which were still allowed to continue under his reign, Marcus Aurelius dwells only on the monotonous character which made them exceedingly wearisome to a cultivated mind; just as a philosophic sportsman may sometimes be heard to observe that shooting one grouse is very like shooting another; while elsewhere he refers with simple contempt to the poor wretches who, when already half-devoured by the wild beasts, begged to be spared for another days amusement.91 Whether he knew the whole extent of the judicial atrocities practised on his Christian subjects may well be doubted; but it maybe equally doubted whether, had he known it, he would have interfered to save them. Pain and death were no evils; but it was an evil that the law should be defied.92The philosophical affinities of the new science were not exhausted by the atomistic analysis of Democritus and the regulative method of Aristotle. Platonism could hardly fail to benefit by the great impulse given to mathematical studies in the latter half of the sixteenth century. The passionate love of its founder for geometry must have recommended him as much to the most advanced minds of the period as his religious mysticism had recommended him to the theologians of the earlier Renaissance. And the increasing ascendency of the heliocentric astronomy, with its splendid defiance of sense and opinion, was indirectly a triumph for the philosophy which, more than any other, had asserted the claims of pure reason against both. We see this distinctly in Galileo. In express adhesion to Platonism, he throws his teaching into a conversational form, endeavouring to extract the truth from his opponents rather than convey it into their minds from without; and the theory of reminiscence as the source of demonstrative knowledge seems to meet with his approval.549 He is always ready with proofs drawn from observation and experiment; but nothing can be more in Platos spirit, nothing more unlike Aristotle and Bacon, than his encomium on the sublime genius of Aristarchus and Copernicus for having maintained a rational hypothesis against what seemed to be the evidence of their senses.550 And he elsewhere observes how much less would have been the glory of Copernicus had he known the experimental verification of his theory.551It has been already mentioned how large a place was given to erotic questions by the literary Platonists of the second century. Even in the school of Plotinus, Platonic love continued to be discussed, sometimes with a freedom which pained and disgusted the master beyond measure.431 His first essay was apparently suggested by a question put to him in the course of some such debate.432 The subject is beauty. In his treatment of it, we find our philosopher at once rising superior to the indecorous frivolities of his predecessors. Physical beauty he declares to be the ideal element in objects, that which they have received from the creative soul, and which the perceptive soul recognises as akin to her own essence. Love is nothing but the excitement and joy occasioned by this discovery. But to understand the truer and higher forms of beauty, we must turn away288 from sensible perceptions, and study it as manifested in wise institutions, virtuous habits, and scientific theories. The passionate enthusiasm excited by the contemplation of such qualities as magnanimity, or justice, or wisdom, or valour can only be explained by assuming that they reveal our inmost nature, showing us what we were destined for, what we originally were, and what we have ceased to be. For we need only enumerate the vices which make a soul hideousinjustice, sensuality, cowardice, and the liketo perceive that they are foreign to her real nature, and are imposed on her by contamination with the principle of all evil, which is matter. To be brave means not to dread death, because death is the separation of the soul from the body. Magnanimity means the neglect of earthly interests. Wisdom means the elevation of our thoughts to a higher world. The soul that virtue has thus released becomes pure reason, and reason is just what constitutes her intrinsic beauty. It is also what alone really exists; without it all the rest of Nature is nothing. Thus foul is opposed to fair, as evil to good and false to true. Once more, as the soul is beautiful by participation in reason, so reason in its turn depends on a still higher principle, the absolute good to which all things aspire, and from which they are derivedthe one source of life, of reason, and of existence. Behind all other loves is the longing for this ultimate good; and in proportion to its superiority over their objects is the intensity of the passion which it inspires, the happiness which its attainment and fruition must bestow. He who would behold this supreme beauty must not seek for it in the fair forms of the external world, for these are but the images and shadows of its glory. It can only be seen with the inward eye, only found in the recesses of our own soul. To comprehend the good we must be good ourselves; or, what is the same thing, we must be ourselves and nothing else. In this process of abstraction, we first arrive at pure reason, and then we say that the ideas289 of reason are what constitutes beauty. But beyond reason is that highest good of which beauty is merely the outward vesture, the source and principle from which beauty springs.