THREE:A pressure wheel, like a steam-engine, must include running contact between water-tight surfaces, and like a rotary steam-engine, this contact is between surfaces which move at different rates of speed in the same joint, so that the wear is unequal, and increases as the speed or the distance from the axis. When it is considered that the most careful workmanship has never produced rotary engines that would surmount these difficulties in working steam, it can hardly be expected they can be overcome in using water, which is not only liable to be filled with grit and sediment, but lacks the peculiar lubricating properties [41] of steam. A rotary steam-engine is in effect the same as a pressure water-wheel, and the apprentice in studying one will fully understand the principles of the other.
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THREE:The last-named thinker would, no doubt, repudiate the title of pantheist; and it is certain that, under his treatment, pantheism has reverted, by a curious sort of atavism, to something much more nearly resembling the original doctrine of the Neo-Platonic school. Mr. Spencer tells us that the world is the manifestation of an unknowable Power. Plotinus said nearly the same, although not in such absolutely self-contradictory terms.524 Mr. Spencer constantly assumes, by speaking of354 it in the singular number, that the creative Power of which we know nothing is one; having, apparently, convinced himself of its unity by two methods of reasoning. First, he identifies the transcendent cause of phenomena with the absolute, which is involved in our consciousness of relation; leaving it to be inferred that as relativity implies plurality, absoluteness must imply unity. And, secondly, from the mutual convertibility of the physical forces, he infers the unity of that which underlies force. Plotinus also arrives at the same result by two lines of argument, one posteriori, and derived from the unity pervading all Nature; the other priori, and derived from the fancied dependence of the Many on the One. Even in his use of the predicate Unknowable without a subject, Mr. Spencer has been anticipated by Damascius, one of the last Neo-Platonists, who speaks of the supreme principle as τ? ?γνωστον.525 And the same philosopher anticipates the late Father Dalgairns in suggesting the very pertinent question, how, if we know nothing about the Unknowable, we know that it is unknowable.
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THREE:The study of psychology with Plato stands in a fourfold relation to his general theory of the world. The dialectic method, without which Nature would remain unintelligible, is a function of the soul, and constitutes its most essential activity; then soul, as distinguished from body, represents the higher, supersensual element of existence; thirdly, the objective dualism of reality and appearance is reproduced in the subjective dualism of reason and sense; and lastly, soul, as the original spring of movement, mediates between the eternal entities which are unmoved and the material phenomena which are subject to a continual flux. It is very characteristic of Plato that he first strains an antithesis to the utmost and then endeavours to reconcile its extremes by the interposition of one or more intermediate links. So, while assigning this office to soul as a part of the universe, he224 classifies the psychic functions themselves according to a similar principle. On the intellectual side he places true opinion, or what we should now call empirical knowledge, midway between demonstration and sense-perception. Such at least seems to be the result reached in the Theaettus and the Meno. In the Republic a further analysis leads to a somewhat different arrangement. Opinion is placed between knowledge and ignorance; while the possible objects to which it corresponds form a transition from being to not-being. Subsequently mathematical reasoning is distinguished from the higher science which takes cognisance of first principles, and thus serves to connect it with simple opinion; while this again, dealing as it does with material objects, is related to the knowledge of their shadows as the most perfect science is related to mathematics.138
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THREE:
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