FORE:Before parting with Stoicism we have to say a few words on the metaphysical foundation of the whole systemthe theory of Nature considered as a moral guide and support. It has been shown that the ultimate object of this, as of many other ethical theories, both ancient and modern, was to reconcile the instincts of individual self-preservation with virtue, which is the instinct of self-preservation in an entire community. The Stoics identified both impulses by declaring that virtue is the sole good of the individual no less than the supreme interest of the whole; thus involving themselves in an insoluble contradiction. For, from their nominalistic point of view, the good of the whole can be nothing but an aggre45gate of particular goods, or else a means for their attainment; and in either case the happiness of the individual has to be accounted for apart from his duty. And an analysis of the special virtues and vices would equally have forced them back on the assumption, which they persistently repudiated, that individual existence and pleasure are intrinsically good, and their opposites intrinsically evil. To prove their fundamental paradoxthe non-existence of individual as distinguished from social interestthe Stoics employed the analogy of an organised body where the good of the parts unquestionably subserves the good of the whole;100 and the object of their teleology was to show that the universe and, by implication, the human race, were properly to be viewed in that light. The acknowledged adaptation of life to its environment furnished some plausible arguments in support of their thesis; and the deficiencies were made good by a revival of the Heracleitean theory in which the unity of Nature was conceived partly as a necessary interdependence of opposing forces, partly as a perpetual transformation of every substance into every other. Universal history also tended to confirm the same principle in its application to the human race. The Macedonian, and still more the Roman empire, brought the idea of a world-wide community living under the same laws ever nearer to its realisation; the decay of the old religion and the old civic patriotism set free a vast fund of altruism which now took the form of simple philanthropy; while a rank growth of immorality offered ever new opportunities for an indignant protest against senseless luxury and inhuman vice. This last circumstance, however, was not allowed to prejudice the optimism of the system; for the fertile physics of Heracleitus suggested a method by which moral evil could be interpreted as a necessary concomitant of good, a material for the perpetual exercise and illustration of virtuous deeds.101Next in order are strains. As the cutting action is the source of strains, and as the resistance offered by the cutting tools is as the length or width of the edges, it will be found in the present case that while other conditions thus far have pointed to small proportions, there is now a new one which calls for large proportions. In displacing the metal between teeth of three-quarters of an inch pitch, the cutting edge or the amount of surface acted upon is equal to a width of one inch and a half. It is true, the displacement may be small at each cut, but the strain is rather to be based upon the breadth of the acting edge than the actual displacement of metal, and we find here strains equal to the average duty of a large planing machine. This strain radiates from the cutting point as from a centre, falling on the supports of the work with a tendency to force it from the framing. Between the rack and the crank-shaft bearing, through the medium of the tool, cutter bar, connection, and crank pin, and in various directions and degrees, this strain may be followed by means of a simple diagram. Besides this cutting strain, there are none of importance; the tension of the belt, the side thrust in bearings, the strain from the angular thrust of the crank, and the end thrust of the tool, although not to be lost sight of, need not have much to do with problems of strength, proportion, and arrangement.
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