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TWO:Returning to our more immediate subject, we must observe that the Pythagoreans did not maintain, in anticipation of modern quantitative science, that all things are determined by number, but that all things are numbers, or are made out of numbers, two propositions not easily distinguished by unpractised thinkers. Numbers, in a word, were to them precisely what water had been to Thales, what air was to Anaximenes, the absolute principle of existence; only with them the idea of a limit, the leading inspiration of Greek thought, had reached a higher degree of abstraction. Number was, as it were, the exterior limit of the finite, and the interior limit of the infinite. Add to this that mathematical studies, cultivated in Egypt and Phoenicia for their practical utility alone, were being pursued in Hellas with ever-increasing ardour for the sake of their own delightfulness, for the intellectual discipline that they supplied��a discipline even12 more valuable then than now, and for the insight which they bestowed, or were believed to bestow, into the secret constitution of Nature; and that the more complicated arithmetical operations were habitually conducted with the aid of geometrical diagrams, thus suggesting the possibility of applying a similar treatment to every order of relations. Consider the lively emotions excited among an intelligent people at a time when multiplication and division, squaring and cubing, the rule of three, the construction and equivalence of figures, with all their manifold applications to industry, commerce, fine art, and tactics, were just as strange and wonderful as electrical phenomena are to us; consider also the magical influence still commonly attributed to particular numbers, and the intense eagerness to obtain exact numerical statements, even when they are of no practical value, exhibited by all who are thrown back on primitive ways of living, as, for example, in Alpine travelling, or on board an Atlantic steamer, and we shall cease to wonder that a mere form of thought, a lifeless abstraction, should once have been regarded as the solution of every problem, the cause of all existence; or that these speculations were more than once revived in after ages, and perished only with Greek philosophy itself.We have this great advantage in dealing with Plato��that his philosophical writings have come down to us entire, while the thinkers who preceded him are known only through fragments and second-hand reports. Nor is the difference merely accidental. Plato was the creator of speculative literature, properly so called: he was the first and also the greatest artist that ever clothed abstract thought in language of appropriate majesty and splendour; and it is probably to their beauty of form that we owe the preservation of his writings. Rather unfortunately, however, along with the genuine works of the master, a certain number of pieces have been handed down to us under his name, of which some are almost universally admitted to be spurious, while the authenticity of others is a question on which the best scholars are still divided. In the absence of any very cogent external evidence, an immense amount of industry and learning has been expended on this subject, and the arguments employed on both sides sometimes make us doubt whether the reasoning powers of philologists are better developed than, according to Plato, were those of mathematicians in his time. The176 two extreme positions are occupied by Grote, who accepts the whole Alexandrian canon, and Krohn, who admits nothing but the Republic;115 while much more serious critics, such as Schaarschmidt, reject along with a mass of worthless compositions several Dialogues almost equal in interest and importance to those whose authenticity has never been doubted. The great historian of Greece seems to have been rather undiscriminating both in his scepticism and in his belief; and the exclusive importance which he attributed to contemporary testimony, or to what passed for such with him, may have unduly biassed his judgment in both directions. As it happens, the authority of the canon is much weaker than Grote imagined; but even granting his extreme contention, our view of Plato��s philosophy would not be seriously affected by it, for the pieces which are rejected by all other critics have no speculative importance whatever. The case would be far different were we to agree with those who impugn the genuineness of the Parmenides, the Sophist, the Statesman, the Phil��bus, and the Laws; for these compositions mark a new departure in Platonism amounting to a complete transformation of its fundamental principles, which indeed is one of the reasons why their authenticity has been denied. Apart, however, from the numerous evidences of Platonic authorship furnished by the Dialogues themselves, as well as by the indirect references to them in Aristotle��s writings, it seems utterly incredible that a thinker scarcely, if at all, inferior to the master himself��as the supposed imitator must assuredly have been��should have consented to let his reasonings pass current under a false name, and that, too, the name of one whose teaching he in some respects controverted; while there is a further difficulty in assuming that his existence could pass unnoticed at a period marked by intense literary and philosophical activity. Readers who177 wish for fuller information on the subject will find in Zeller��s pages a careful and lucid digest of the whole controversy leading to a moderately conservative conclusion. Others will doubtless be content to accept Prof. Jowett��s verdict, that ��on the whole not a sixteenth part of the writings which pass under the name of Plato, if we exclude the works rejected by the ancients themselves, can be fairly doubted by those who are willing to allow that a considerable change and growth may have taken place in his philosophy.��116 To which we may add that the Platonic dialogues, whether the work of one or more hands, and however widely differing among themselves, together represent a single phase of thought, and are appropriately studied as a connected series. TWO:"A vulgar one," said Lawrence. "Robbery either from the person or indirectly. I don't see how anybody could possibly be jealous of a poor misshapen creature like that. We can put the socialistic element out of the case. Have you found anything?"The meal was finished presently. Hetty caught the scent of cigarette smoke. The Countess lounged back in her chair, smoking too. She seemed perfectly self-possessed. She looked so easy and comfortable that Maitrank was filled with admiration. TWO:1. A conception of certain functions in a machine, and some definite object which it is to accomplish."I am," he said. "See, I am familiar with her plot before she carried it out. As I told you before, the whole thing is founded on a novel of mine which has yet to be published. How she got the thing is a mystery. But she has got it. It could not possibly have been a coincidence." TWO: