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ONE:The two elements of error and achievement are so intimately blended and mutually conditioned in the philosophy which we have been reviewing, that to decide on their respective importance is impossible without first deciding on a still larger question��the value of systematic thought as such, and apart from its actual content. For Aristotle was perhaps the greatest master of systematisation that ever lived. The401 framework and language of science are still, to a great extent, what he made them; and it remains to be seen whether they will ever be completely remodelled. Yet even this gift has not been an unmixed benefit, for it was long used in the service of false doctrines, and it still induces critics to read into the Aristotelian forms truths which they do not really contain. Let us conclude by observing that of all the ancients, or even of all thinkers before the eighteenth century, there is none to whom the methods and results of modern science could so easily be explained. While finding that they reversed his own most cherished convictions on every point, he would still be prepared by his logical studies to appreciate the evidence on which they rest, and by his ardent love of truth to accept them without reserve. Most of all would he welcome our astronomy and our biology with wonder and delight, while viewing the development of modern machinery with much more qualified admiration, and the progress of democracy perhaps with suspicious fear. He who thought that the mind and body of an artisan were alike debased by the exercise of some simple handicraft under the pure bright sky of Greece, what would he have said to the effect wrought on human beings by the noisome, grinding, sunless, soulless drudgery of our factories and mines! How profoundly unfitted would he have deemed its victims to influence those political issues with which the interests of science are every day becoming more vitally connected! Yet slowly, perhaps, and unwillingly, he might be brought to perceive that our industry has been the indispensable basis of our knowledge, as supplying both the material means and the moral ends of its cultivation. He might also learn that there is an even closer relationship between the two: that while the supporters of privilege are leagued for the maintenance of superstition, the workers, and those who advocate their claims to political equality, are leagued for its restraint and overthrow. And if402 he still shrank back from the heat and smoke and turmoil amid which the genius of our age stands, like another Heracleitus, in feverish excitement, by the steam-furnace whence its powers of revolutionary transmutation are derived, we too might reapply the words of the old Ephesian prophet, bidding him enter boldly, for here also there are gods.Machine motion is mainly rotary; and as rotary motion is accomplished by cylindrical parts such as shafts, bearings, pulleys and wheels, we find that the greater share of machine tools are directed to preparing cylindrical forms. If we note the area of the turned, bored and drilled surface in ordinary machinery, and compare with the amount of planed surface, we will find the former not less than as two to one in the finer class of machinery, and as three to one in the coarser class; from this may be estimated approximately the proportion of tools required for operating on cylindrical surfaces and plane surfaces; assuming the cutting tools to have the same capacity in the two cases, the proportion will be as three to one. This difference between the number of machines required for cylindrical and plane surfaces is farther increased, when we consider that tools act continually on cylindrical surfaces and intermittently on plane surfaces.

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