In working to regular scales, such as one-half, one-eighth, or one-sixteenth size, a good plan is to use a common rule, instead of a graduated scale. There is nothing more convenient for a mechanical draughtsman than to be able to readily resolve dimensions into various scales, and the use of a common rule for fractional scales trains the mind, so that computations come naturally, and after a time almost without effort. A plain T square, with a parallel blade fastened on the side of the head, [80] but not imbedded into it, is the best; in this way set squares can pass over the head of a T square in working at the edges of the drawing. It is strange that a draughting square should ever have been made in any other manner than this, and still more strange, that people will use squares that do not allow the set squares to pass over the heads and come near to the edge of the board.
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ONE:Similarly, in political science, the analytical method of assuming civil government to result from a concurrence of individual wills, which with Hobbes had served only to destroy ecclesiastical authority, while leaving intact and even strengthening the authority of secular rulers, was reinterpreted by Locke as a negation of all absolutism whatever."What?" Bruce cried. "Read that over again."
THREE:We are told that when his end began to approach, the dying philosopher was pressed to choose a successor in the headship of the School. The manner in which he did this is289 characteristic of his singular gentleness and unwillingness to give offence. It was understood that the choice must lie between his two most distinguished pupils, Theophrastus of Lesbos, and Eudmus of Rhodes. Aristotle asked for specimens of the wine grown in those islands. He first essayed the Rhodian vintage, and praised it highly, but remarked after tasting the other, The Lesbian is sweeter, thus revealing his preference for Theophrastus, who accordingly reigned over the Lyceum in his stead.179"2. Should the police regulations be infringed anywhere by some individuals, the authorities will find the guilty parties and punish them, without attributing the guilt to the entire population.
TWO:The principal business of reason is, as we have seen, to376 form abstract ideas or concepts of things. But before the time of Aristotle it had already been discovered that concepts, or rather the terms expressing them, were capable of being united in propositions which might be either true or false, and whose truth might be a matter either of certainty or of simple opinion. Now, in modern psychology, down to the most recent times, it has always been assumed that, just as there is an intellectual faculty or operation called abstraction corresponding to the terms of which a proposition is composed, so also there is a faculty or operation called judgment corresponding to the entire proposition. Sometimes, again, the third operation, which consists in linking propositions together to form syllogisms, is assigned to a distinct faculty called reason; sometimes all three are regarded as ascending steps in a single fundamental process. Neither Plato nor Aristotle, however, had thought out the subject so scientifically. To both the framing, or rather the discovery, of concepts was by far the most important business of a philosopher, judgment and reasoning being merely subsidiary to it. Hence, while in one part of their logic they were realists and conceptualists, in other parts they were nominalists. Abstract names and the definitions unfolding their connotation corresponded to actual entities in Naturethe eternal Ideas of the one and the substantial forms of the otheras well as to mental representations about whose existence they were agreed, while ascribing to them a different origin. But they did not in like manner treat propositions as the expression of natural laws without, or of judgments within, the mind; while reasoning they regarded much more as an art of thinking, a method for the discovery of ideas, than as the Systematisation of a process spontaneously performed by every human being without knowing it; and, even as such, their tendency is to connect it with the theory of definition rather than with the theory of synthetic propositions. Some approach to a realistic view is, indeed, made by both. The377 restless and penetrating thought of Plato had, probably towards the close of his career, led him to enquire into the mutual relations of those Ideas which he had at first been inclined to regard as absolutely distinct. He shows us in the Sophist how the most abstract notions, such as Being, Identity, and so forth, must, to a certain extent, partake of each others nature; and when their relationship does not lie on the surface, he seeks to establish it by the interposition of a third idea obviously connected with both. In the later books of the Republic he also points to a scheme for arranging his Ideas according to a fixed hierarchy resembling the concatenation of mathematical proofs, by ascending and descending whose successive gradations the mind is to become familiarised with absolute truth; and we shall presently see how Aristotle, following in the same track, sought for a counterpart to his syllogistic method in the objective order of things. Nevertheless, with him, as well as with his master, science was not what it is with us, a study of laws, a perpetually growing body of truth, but a process of definition and classification, a systematisation of what had already been perceived and thought.In a former part of this work455 we found reason to believe that Platos supreme good is no other than the Idea of Sameness which occurs in the Sophist and in the Timaeus, where it is correlated with the Idea of Difference; and we also concluded that the divine creator of the last-named dialogue is intended to represent it under a more concrete and popular form.456 We may, perhaps, also discover it in the Limit of the Philbus; and if we are to believe what Aristotle tells us about the later teaching of Plato, it seems to have finally coalesced with the Pythagorean One, which combines with the unlimited Dyad to form first number, and then everything else, just as the Same combines with the Different to form existence in the Timaeus.457
TWO:"A German officer came nearer, and, uncovering his head, said in a voice trembling with emotion: 'General, what you performed is admirable!' Evidently these words slightly comforted the defender of Lige, who before long was removed by motor-car to an ambulance in the town."When the Academicians pass from the form to the matter of dogmatic philosophy, their criticisms acquire greater interest and greater weight. On this ground, their assaults are principally directed against the theology of their Stoic and Epicurean rivals. It is here in particular that151 Carneades reveals himself to us as the Hume of antiquity. Never has the case for agnosticism been more powerfully made out than by him or by the disciples whom he inspired. To the argument for the existence of supernatural beings derived from universal consent, he replies, first, that the opinion of the vulgar is worthless, and secondly, that mens beliefs about the gods are hopelessly at variance with one another, even the same divinity being made the subject of numberless discordant legends.238 He reduces the polytheistic deification of natural objects to an absurdity by forcing it back through a series of insensible gradations into absolute fetichism.239 The personification of mental qualities is similarly treated, until an hypothesis is provided for every passing mood.240 Then, turning to the more philosophical deism of the Stoics, he assails their theory of the divine benevolence with instance after instance of the apparent malevolence and iniquity to be found in Nature; vividly reminding one of the facts adduced by Mr. Herbert Spencer in confutation of the similar views held by modern English theologians.241 As against the whole theory of final causes, Carneades argues after a method which, though logically sound, could not then present itself with the authority which advancing science has more recently shown it to possess. What you Stoics, he says,152 explain as the result of conscious purpose, other philosophers, like Strato for instance, explain with equal plausibility as the result of natural causation. And such is our ignorance of the forces at work in Nature that even where no mechanical cause can be assigned, it would be presumptuous to maintain that none can exist.242 The reign of law does not necessarily prove the presence of intelligence; it is merely the evidence of a uniform movement quite consistent with all that we know about the working of unconscious forces.243 To contend, with Socrates, that the human mind must be derived from a Universal Mind pervading all Nature would logically involve the transfer of every human attribute to its original source.244 And to say that the Supreme Being, because it surpasses man, must possess an intelligence like his, is no more rational than to make the same assumption with regard to a great city because it is superior to an ant.245
TWO:"True? True, sir? You go and look for yourself! And let me tell you one thingthere are no francs-tireurs here! We know quite well what we may do and what not, and only a moment ago I received a message from the Minister of the Interior, saying that non-combatants who shoot at the enemy expose themselves to danger and their fellow-citizens to retaliations."
"I'll try," she said, "but then I handle so much money. I play cards, I bet on horses. There are scores of ways. But I'll try.""I am very much afraid I shan't be able, but come along, and we'll try together.""I am Countess Lalage," was the calm reply.
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THREE:The man nodded. The woman was speaking the truth, and he knew it."Ah, I know what you mean," Bruce went on recklessly. "Don't you see that as an honest man I am bound to speak out? Just as I reached my rooms that night a motor drove up to my house with a note for me----"
THREE:
