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THREE:If private society exercised a demoralising influence on its most gifted members, and in turn suffered a still further debasement by listening to their opinions, the same fatal interchange of corruption went on still more actively in public life, so far, at least, as Athenian democracy was concerned. The people would tolerate no statesman who did not pamper199 their appetites; and the statesmen, for their own ambitious purposes, attended solely to the material wants of the people, entirely neglecting their spiritual interests. In this respect, Pericles, the most admired of all, had been the chief of sinners; for ��he was the first who gave the people pay and made them idle and cowardly, and encouraged them in the love of talk and of money.�� Accordingly, a righteous retribution overtook him, for ��at the very end of his life they convicted him of theft, and almost put him to death.�� So it had been with the other boasted leaders, Miltiades, Themistocles, and Cimon; all suffered from what is falsely called the ingratitude of the people. Like injudicious keepers, they had made the animal committed to their charge fiercer instead of gentler, until its savage propensities were turned against themselves. Or, changing the comparison, they were like purveyors of luxury, who fed the State on a diet to which its present ��ulcerated and swollen condition�� was due. They had ��filled the city full of harbours, and docks, and walls, and revenues and all that, and had left no room for justice and temperance.�� One only among the elder statesmen, Aristeides, is excepted from this sweeping condemnation, and, similarly, Socrates is declared to have been the only true statesman of his time.127Having pushed my way through the loafers, who stood waiting before the house, I was able to continue my journey to Maastricht.

THREE: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.