THREE:The purely intellectual view of human nature, the definition of mind in terms of cognition, is one more fallacy from which Aristotles teaching, had it not fallen into neglect or contempt, might have guarded Spinoza. Nevertheless, his parallelism between passion and sensuous perception saves him from the worst extravagances of his Greek predecessors. For the senses, however much they might be maligned, never were nor could be altogether rejected; while the passions met with little mercy from Plato and with none from the Stoics, who considered them not only unnecessary but even unnatural. Spinoza more wisely sees in them assertions, however obscure and confused, of the will to be and grow which constitutes individual existence. And he sees that they can no more be removed by pointing out their evil consequences than sense-impressions can be abolished by proving their fallaciousness. On the other hand, when Spinoza speaks as if one emotion could only be conquered or expelled by another emotion, we must not allow his peculiar phraseology to conceal from us the purely intellectual character of his whole ethical system. What he really holds is that emotion can be416 overcome by reason or better knowledge, because it is itself an imperfect cognition. Point by point, an analogyor something more than an analogyis made out between the errors of sensuous perception joined to imagination, and the errors of our spontaneous efforts after happiness or self-realisation. Both are imposed on us from without, and neither can be got rid of by a simple act of volition. Both are affected by illusions of perspective: the nearer object of desire, like the nearer object of perception, assuming a disproportionate place in the field of view. In both, accidental contiguity is habitually confounded with causation; while in both the assignment of causes to effects, instead of being traced back through an infinite series of antecedents, stops short with the antecedent nearest to ourselves. If objects are classified according to their superficial resemblances or the usages of common language, so also are the desires sustained and intensified by imitation and rivalry. By parity of reasoning, moral education must be conducted on the same lines as intellectual education. First, it is shown how our individual existence, depending as it does on forces infinitely exceeding our own, is to be maintained. This is chiefly done by cultivating friendly relations with other men; probably, although Spinoza does not himself make the comparison, on the same principle as that observed in the mutual assistance and rectification of the senses, together with their preservation by means of verbal signs. The misleading passions are to be overcome by discovering their origin; by referring the pleasures and pains which produce them to the right causes; by calling in thought to redress the balance of imagination; by dividing the attention among an infinite number of causes; finally, by demonstrating the absolute necessity of whatever actions excite them, and classifying them according to their relations, in the same way that the phenomena of the material world are dealt with when subjected to scientific analysis.
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THREE:
THREE:As a means for transmitting power, shafts afford the very important advantage that power can be easily taken off at any point throughout their length, by means of pulleys or gearing, also in forming a positive connection between the motive-power and machines, or between the different parts of machines. The capacity of shafts in resisting torsional strain is as [46] the cube of their diameter, and the amount of torsional deflection in shafts is as their length. The torsional capacity being based upon the diameter, often leads to the construction of what may be termed diminishing shafts, lines in which the diameter of the several sections are diminished as the distance from the driving power increases, and as the duty to be performed becomes less. This plan of arranging line shafting has been and is yet quite common, but certainly was never arrived at by careful observation. Almost every plan of construction has both advantages and disadvantages, and the best means of determining the excess of either, in any case, is to first arrive at all the conditions as near as possible, then form a "trial balance," putting the advantages on one side and the disadvantages on the other, and footing up the sums for comparison. Dealing with this matter of shafts of uniform diameter and shafts of varying diameter in this way, there may be found in favour of the latter plan a little saving of material and a slight reduction of friction as advantages. The saving of material relates only to first cost, because the expense of fitting is greater in constructing shafts when the diameters of the different pieces vary; the friction, considering that the same velocity throughout must be assumed, is scarcely worth estimating.
