ONE:"That's a clever question, miss," he said, "but I have a reply to it. We have found a woman near the docks where the unknown stayed for a day or two. As she cannot read or write she got him to write her a line or two to her landlord's agent, sending some arrears of rent and promising the balance shortly. That scrap of paper has come into my possession."It was from mathematical science that the light of certainty first broke. Socrates had not encouraged the study of mathematics, either pure or applied; nor, if we may judge from some disparaging allusions to Hippias and his lectures in the Protagoras, did Plato at first regard it with any particular favour. He may have acquired some notions of arithmetic and geometry at school; but the intimate acquaintance with, and deep interest in them, manifested throughout his later works, probably dates from his visits to Italy, Sicily, Cyrn, and Egypt. In each of these places the exact sciences were cultivated with more assiduity than at Athens; in southern Italy they had been brought into close connexion with philosophy by a system of mystical interpretation. The glory of discovering their true speculative significance was reserved for Plato. Just as he had detected a profound analogy between the Socratic scepticism and the Heracleitean flux, so also, by another vivid intuition, he saw in the definitions and demonstrations of geometry a type of true reasoning, a particular application of the Socratic logic. Thus the two studies were brought into fruitful reaction, the one gaining a wider applicability, and the other an exacter method of proof. The mathematical spirit ultimately proved211 too strong for Plato, and petrified his philosophy into a lifeless formalism; but no extraneous influence helped so much to bring about the complete maturity of his constructive powers, in no direction has he more profoundly influenced the thought of later ages.
TWO:Another science which has only been cultivated on a large scale within comparatively recent years has confirmed the views suggested by jurisprudence. An enormous mass of inscriptions has been brought to light, deciphered, collated, and made available by transcription for the purposes of sedentary scholars. With the help of these records, fragmentary though they be, we have obtained an insight into the sentiments, beliefs, and social institutions of Pagan antiquity as it was just before the conversion of the Roman world to Christianity, such as literature alone could not supply. Literature and history, too, have told a somewhat different story when read over again in the light of these new discoveries. Finally, the whole mine of materials, new and old, has been worked by a class of enquirers who bring to their task qualities nearly unknown among the scholars of a former generation. These men are familiar with an immense range of studies lying outside their special subject, but often capable of affording it unexpected illustrations; they are free from theological prejudices; they are sometimes versed in the practical conduct of state affairs; and habits of wide social intercourse have emancipated them from the narrowing associations incident to a learned profession.
ONE:The celebrated Cartesian paradox, that animals are unconscious automata, is another consequence of the same principle. In Aristotles philosophy, the doctrine of potentiality developing itself into act through a series of ascending manifestations, supplied a link connecting the highest rational392 with the lowest vegetal life. The identification of Form with pure thought put an end to the conception of any such intermediate gradations. Brutes must either have a mind like ours or none at all. The former alternative was not even taken into consideration; probably, among other reasons, because it was not easily reconcilable with Christianity; so that nothing remained but to deny sensibility where thought was believed not to exist.
TWO:It is not, then, surprising that the Academic and Peripatetic schools utterly failed to carry on the great movement inaugurated by their respective founders. The successors of Plato first lost themselves in a labyrinth of Pythagorean mysticism, and then sank into the position of mere moral instructors. The history of that remarkable revolution by which the Academy regained a foremost place in Greek thought, will form the subject of a future chapter: here we may anticipate so far as to observe that it was effected by taking up and presenting in its original purity a tradition of older date than Platonism, though presented under a new aspect and mixed with other elements by Plato. The heirs of Aristotle, after staggering on a few paces under the immense burden of his encyclopaedic bequest, came to a dead halt, and contented themselves with keeping the treasure safe until the time should arrive for its appropriation and reinvestment by a stronger speculative race.
ONE:
TWO:Those who will may see in all this an anticipation of chemical substitution and double decomposition. We can assure them that it will be by no means the most absurd parallel discovered between ancient and modern ideas. It is possible, however, to trace a more real connexion between the Aristotelian physics and mediaeval thought. We do not of361 course mean the scholastic philosophy, for there never was the slightest doubt as to its derivation; we allude to the alchemy and astrology which did duty for positive science during so many centuries, and even overlapped it down to the time of Newton, himself an ardent alchemist. The superstitions of astrology originated independently of the peripatetic system, and probably long before it, but they were likely to be encouraged by it instead of being repressed, as they would have been by a less anthropomorphic philosophy. Aristotle himself, as we have seen, limited the action of the heavens on the sublunary sphere to their heating power; but, by crediting them with an immortal reason and the pursuit of ends unknown to us, he opened a wide field for conjecture as to what those ends were, and how they could be ascertained. That the stars and planets were always thinking and acting, but never about our affairs, was not a notion likely to be permanently accepted. Neither was it easy to believe that their various configurations, movements, and names (the last probably revealed by themselves) were entirely without significance. From such considerations to the casting of horoscopes is not a far remove. The Aristotelian chemistry would still more readily lend itself to the purposes of alchemy. If Nature is one vast process of transmutation, then particular bodies, such as the metals, not only may, but must be convertible into one another. And even those who rejected Aristotles logic with scorn still clung to his natural philosophy when it flattered their hopes of gain. Bacon kept the theory of substantial forms. His originality consisted in looking for a method by which any form, or assemblage of forms might be superinduced at pleasure on the underlying matter. The real development of knowledge pursued a far different course. The great discoverers of the sixteenth and seventeenth centuries achieved their success by absolutely reversing the method of Aristotle, by bringing into fruitful contact principles which he had condemned to barren isolation.362 They carried terrestrial physics into the heavens; they brought down the absoluteness and eternity of celestial law to earth; they showed that Aristotles antithetical qualities were merely quantitative distinctions. These they resolved into modes of motion; and they also resolved all motions into one, which was both rectilinear and perpetual. But they and their successors put an end to all dreams of transmutation, when they showed by another synthesis that all matter, at least within the limits of our experience, has the changeless consistency once attributed exclusively to the stellar spheres.
