The Republic. Plato

are superior to the hypothetical, metaphorical conceptions of geometry and the other arts or sciences, whichever is to be the name of them; and the latter conceptions you refuse to make subjects of pure intellect, because they have no first principle, although when resting on a first principle, they pass into the higher sphere.' You understand me very well, I said. And now to those four divisions of knowledge you may assign four corresponding faculties—pure intelligence to the highest sphere; active intelligence to the second; to the third, faith; to the fourth, the perception of shadows—and the clearness of the several faculties will be in the same ratio as the truth of the objects to which they are related …

      Like Socrates, we may recapitulate the virtues of the philosopher. In language which seems to reach beyond the horizon of that age and country, he is described as 'the spectator of all time and all existence.' He has the noblest gifts of nature, and makes the highest use of them. All his desires are absorbed in the love of wisdom, which is the love of truth. None of the graces of a beautiful soul are wanting in him; neither can he fear death, or think much of human life. The ideal of modern times hardly retains the simplicity of the antique; there is not the same originality either in truth or error which characterized the Greeks. The philosopher is no longer living in the unseen, nor is he sent by an oracle to convince mankind of ignorance; nor does he regard knowledge as a system of ideas leading upwards by regular stages to the idea of good. The eagerness of the pursuit has abated; there is more division of labour and less of comprehensive reflection upon nature and human life as a whole; more of exact observation and less of anticipation and inspiration. Still, in the altered conditions of knowledge, the parallel is not wholly lost; and there may be a use in translating the conception of Plato into the language of our own age. The philosopher in modern times is one who fixes his mind on the laws of nature in their sequence and connexion, not on fragments or pictures of nature; on history, not on controversy; on the truths which are acknowledged by the few, not on the opinions of the many. He is aware of the importance of 'classifying according to nature,' and will try to 'separate the limbs of science without breaking them' (Phaedr.). There is no part of truth, whether great or small, which he will dishonour; and in the least things he will discern the greatest (Parmen.). Like the ancient philosopher he sees the world pervaded by analogies, but he can also tell 'why in some cases a single instance is sufficient for an induction' (Mill's Logic), while in other cases a thousand examples would prove nothing. He inquires into a portion of knowledge only, because the whole has grown too vast to be embraced by a single mind or life. He has a clearer conception of the divisions of science and of their relation to the mind of man than was possible to the ancients. Like Plato, he has a vision of the unity of knowledge, not as the beginning of philosophy to be attained by a study of elementary mathematics, but as the far-off result of the working of many minds in many ages. He is aware that mathematical studies are preliminary to almost every other; at the same time, he will not reduce all varieties of knowledge to the type of mathematics. He too must have a nobility of character, without which genius loses the better half of greatness. Regarding the world as a point in immensity, and each individual as a link in a never-ending chain of existence, he will not think much of his own life, or be greatly afraid of death.

      Adeimantus objects first of all to the form of the Socratic reasoning, thus showing that Plato is aware of the imperfection of his own method. He brings the accusation against himself which might be brought against him by a modern logician—that he extracts the answer because he knows how to put the question. In a long argument words are apt to change their meaning slightly, or premises may be assumed or conclusions inferred with rather too much certainty or universality; the variation at each step may be unobserved, and yet at last the divergence becomes considerable. Hence the failure of attempts to apply arithmetical or algebraic formulae to logic. The imperfection, or rather the higher and more elastic nature of language, does not allow words to have the precision of numbers or of symbols. And this quality in language impairs the force of an argument which has many steps.

      The objection, though fairly met by Socrates in this particular instance, may be regarded as implying a reflection upon the Socratic mode of reasoning. And here, as elsewhere, Plato seems to intimate that the time had come when the negative and interrogative method of Socrates must be superseded by a positive and constructive one, of which examples are given in some of the later dialogues. Adeimantus further argues that the ideal is wholly at variance with facts; for experience proves philosophers to be either useless or rogues. Contrary to all expectation Socrates has no hesitation in admitting the truth of this, and explains the anomaly in an allegory, first characteristically depreciating his own inventive powers. In this allegory the people are distinguished from the professional politicians, and, as elsewhere, are spoken of in a tone of pity rather than of censure under the image of 'the noble captain who is not very quick in his perceptions.'