But Ptolemy had even more important work to do than making gods. He had to make men; for he had few or none ready made among his old veterans from Issus and Arbela. He had no hereditary aristocracy: and he wanted none. No aristocracy of wealth; that might grow of itself, only too fast for his despotic power. But as a despot, he must have a knot of men round him who would do his work. And here came out his deep insight into fact. It had not escaped that man, what was the secret of Greek supremacy. How had he come there? How had his great master conquered half the world? How had the little semi-barbarous mountain tribe up there in Pella, risen under Philip to be the master-race of the globe? How, indeed, had Xenophon and his Ten Thousand, how had the handfuls of Salamis and Marathon, held out triumphantly century after century, against the vast weight of the barbarian? The simple answer was: Because the Greek has mind, the barbarian mere brute force. Because mind is the lord of matter; because the Greek being the cultivated man, is the only true man; the rest are βρβαροι, mere things, clods, tools for the wise Greeks use, in spite of all their material phantom-strength of elephants, and treasures, and tributaries by the million. Mind was the secret of Greek power; and for that Ptolemy would work. He would have an aristocracy of intellect; he would gather round him the wise men of the world (glad enough most of them to leave that miserable Greece, where every mans life was in his hand from hour to hour), and he would develop to its highest the conception of Philip, when he made Aristotle the tutor of his son Alexander. The consequences of that attempt were written in letters of blood, over half the world; Ptolemy would attempt it once more, with gentler results. For though he fought long, and often, and well, as Despot of Egypt, no less than as general of Alexander, he was not at heart a man of blood, and made peace the end of all his wars.
So he begins. Aristotle is gone: but in Aristotles place Philetas the sweet singer of Cos, and Zenodotus the grammarian of Ephesus, shall educate his favourite son, and he will have a literary court, and a literary age. Demetrius Phalereus, the Admirable Crichton of his time, the last of Attic orators, statesman, philosopher, poet, warrior, and each of them in the most graceful, insinuating, courtly way, migrates to Alexandria, after having had the three hundred and sixty statues, which the Athenians had too hastily erected to his honour, as hastily pulled down again. Here was a prize for Ptolemy! The charming man became his bosom friend and fellow, even revised the laws of his kingdom, and fired him, if report says true, with a mighty thoughtno less a one than the great public Library of Alexandria; the first such institution, it is said, which the world had ever seen.
So a library is begun by Soter, and organised and completed by Philadelphus; or rather two libraries, for while one part was kept at the Serapeium, that vast temple on the inland rising ground, of which, as far as we can discover, Pompeys Pillar alone remains, one column out of four hundred, the rest was in the Brucheion adjoining the Palace and the Museum. Philadelphus buys Aristotles collection to add to the stock, and Euergetes cheats the Athenians out of the original MSS. of Æschylus, Sophocles, and Euripides, and adds largely to it by more honest methods. Eumenes, King of Pergamus in Asia Minor, fired with emulation, commences a similar collection, and is so successful, that the reigning Ptolemy has to cut off his rivals supplies by prohibiting the exportation of papyrus; and the Pergamenian books are henceforth transcribed on parchment, parchemin, Pergamene, which thus has its name to this day, from Pergamus. That collection, too, found its way at last to Alexandria. For Antony having become possessor of it by right of the stronger, gave it to Cleopatra; and it remained at Alexandria for seven hundred years. But we must not anticipate events.
Then there must be besides a Mouseion, a Temple of the Muses, with all due appliances, in a vast building adjoining the palace itself, under the very wing of royalty; and it must have porticos, wherein sages may converse; lecture-rooms, where they may display themselves at their will to their rapt scholars, each like a turkey-cock before his brood; and a large dining-hall, where they may enjoy themselves in moderation, as befits sages, not without puns and repartees, epigrams, anagrams, and Attic salt, to be fatal, alas, to poor Diodorus the dialectician. For Stilpo, prince of sophists, having silenced him by some quibbling puzzle of logic, Ptolemy surnamed him Chronos the Slow. Poor Diodorus went home, took pen and ink, wrote a treatise on the awful nothing, and died in despair, leaving five dialectical daughters behind him, to be thorns in the sides of some five hapless men of Macedonia, as emancipated women; a class but too common in the later days of Greece, as they will always be, perhaps, in civilisations which are decaying and crumbling to pieces, leaving their members to seek in bewilderment what they are, and what bonds connect them with their fellow-beings. But to return: funds shall be provided for the Museum from the treasury; a priest of rank, appointed by royalty, shall be curator; botanical and zoological gardens shall be attached; collections of wonders made. In all things the presiding genius of Aristotle shall be worshipped; for these, like Alexander, were his pupils. Had he not mapped out all heaven and earth, things seen and unseen, with his entelechies, and energies, and dunameis, and put every created and uncreated thing henceforth into its proper place, from the ascidians and polypes of the sea to the virtues and the vicesyea, to that Great Deity and Prime Cause (which indeed was all things), Noesis Noeseon, the Thought of Thoughts, whom he discovered by irrefragable processes of logic, and in whom the philosophers believe privately, leaving Serapis to the women and the sailors? All they had to do was to follow in his steps; to take each of them a branch, of science or literature, or as many branches as one man conveniently can; and working them out on the approved methods, end in a few years, as Alexander did, by weeping on the utmost shore of creation that there are no more worlds left to conquer.
Alas! the Muses are shy and wild; and though they will haunt, like skylarks, on the bleakest northern moor as cheerfully as on the sunny hills of Greece, and rise thence singing into the heaven of heavens, yet they are hard to tempt into a gilded cage, however amusingly made and plentifully stored with comforts. Royal societies, associations of savants, and the like, are good for many things, but not for the breeding of art and genius: for they are things which cannot be bred. Such institutions are excellent for physical science, when, as among us now, physical science is going on the right method: but where, as in Alexandria, it was going on an utterly wrong method, they stereotype the errors of the age, and invest them with the prestige of authority, and produce mere Sorbonnes, and schools of pedants. To literature, too, they do some good, that is, in a literary agean age of reflection rather than of production, of antiquarian research, criticism, imitation, when book-making has become an easy and respectable pursuit for the many who cannot dig, and are ashamed to beg. And yet, by adding that same prestige of authority, not to mention of good society and Court favour, to the popular mania for literature, they help on the growing evil, and increase the multitude of prophets who prophesy out of their own heart and have seen nothing.
And this was, it must be said, the outcome of all the Ptolemæan appliances.
And this was, it must be said, the outcome of all the Ptolemæan appliances.
In Physics they did little. In Art nothing. In Metaphysics less than nothing.
We will first examine, as the more pleasant spectacle of the two, that branch of thought in which some progress was really made, and in which the Ptolemaic schools helped forward the development of men who have become world-famous, and will remain so, I suppose, until the end of time.
Four names at once attract us: Euclid, Aristarchus, Eratosthenes, Hipparchus. Archimedes, also, should be included in the list, for he was a pupil of the Alexandrian school, having studied (if Proclus is to be trusted) in Egypt, under Conon the Samian, during the reigns of two Ptolemies, Philadelphus and Euergetes.
Of Euclid, as the founder (according to Proclus) of the Alexandrian Mathematical school, I must of course speak first. Those who wish to attain to a juster conception of the man and his work than they can do from any other source, will do well to read Professor De Morgans admirable article on him in Smiths Classical Dictionary; which includes, also, a valuable little sketch of the rise of Geometric science, from Pythagoras and Plato, of whose school Euclid was, to the great master himself.
I shall confine myself to one observation on Euclids genius, and on the immense influence which it exerted on after generations. It seems to me, speaking under correction, that it exerted this, because it was so complete a type of the general tendency of the Greek mind, deductive, rather than inductive; of unrivalled subtlety in obtaining results from principles, and results again from them ad infinitum: deficient in that sturdy moral patience which is required for the examination of facts, and which has made Britain at once a land of practical craftsmen, and of earnest scientific discoverers.
Volatile, restless, always children longing for something new, as the Egyptian priest said of them, they were too ready to believe that they had attained laws, and then, tired with their toy, throw away those hastily assumed laws, and wander off in search of others. Gifted, beyond all the sons of men, with the most exquisite perception of form, both physical and metaphysical, they could become geometers and logicians as they became sculptors and artists; beyond that they could hardly rise. The were conscious of their power to build; and it made them ashamed to dig.
Four men only among them seem, as far as I can judge, to have had a great inductive power: Socrates and Plato in Metaphysics; Archimedes and Hipparchus in Physics. But these men ran so far counter to the national genius, that their examples were not followed. As you will hear presently, the discoveries of Archimedes and Hipparchus were allowed to remain where they were for centuries. The Dialectic of Plato and Socrates was degraded into a mere art for making anything appear alternately true and false, and among the Megaric school, for undermining the ground of all science, and paving the way for scepticism, by denying the natural world to be the object of certain knowledge. The only element of Platos thought to which they clung was, as we shall find from the Neoplatonists, his physical speculations; in which, deserting his inductive method, he has fallen below himself into the popular cacoethes, and Pythagorean deductive dreams about the mysterious powers of numbers, and of the regular solids.
Such a people, when they took to studying physical science, would be, and in fact were, incapable of Chemistry, Geognosy, Comparative Anatomy, or any of that noble choir of sister sciences, which are now building up the material as well as the intellectual glory of Britain.
To Astronomy, on the other hand, the pupils of Euclid turned naturally, as to the science which required the greatest amount of their favourite geometry: but even that they were content to let pass from its inductive to its deductive stagenot as we have done now, after two centuries of inductive search for the true laws, and their final discovery by Kepler and Newton: but as soon as Hipparchus had propounded any theory which would do instead of the true laws, content there to stop their experiments, and return to their favourite work of commenting, deducing, spinning notion out of notion, ad infinitum.
Still, they were not all of this temper. Had they been, they would have discovered, not merely a little, but absolutely nothing. For after all, if we will consider, induction being the right path to knowledge, every man, whether he knows it or not, uses induction, more or less, by the mere fact of his having a human reason, and knowing anything at all; as M. Jourdain talked prose all his life without being aware of it.
Aristarchus is principally famous for his attempt to discover the distance of the sun as compared with that of the moon. His method was ingenious enough, but too rough for success, as it depended principally on the belief that the line bounding the bright part of the moon was an exact straight line. The result was of course erroneous. He concluded that the sun was 18 times as far as the moon, and not, as we now know, 400; but his conclusion, like his conception of the vast extent of the sphere of the fixed stars, was far enough in advance of the popular doctrine to subject him, according to Plutarch, to a charge of impiety.
Eratosthenes, again, contributed his mite to the treasure of human sciencehis one mite; and yet by that he is better known than by all the volumes which he seems to have poured out, on Ethics, Chronology, Criticism on the Old Attic Comedy, and what not, spun out of his weary brain during a long life of research and meditation. They have all perished,like ninety-nine hundredths of the labours of that great literary age; and perhaps the world is no poorer for the loss. But one thing, which he attempted on a sound and practical philosophic method, stands, and will stand for ever. And after all, is not that enough to have lived for? to have found out one true thing, and, therefore, one imperishable thing, in ones life? If each one of us could but say when he died: This one thing I have found out; this one thing I have proved to be possible; this one eternal fact I have rescued from Hela, the realm of the formless and unknown, how rich one such generation might make the world for ever!
But such is not the appointed method. The finders are few and far between, because the true seekers are few and far between; and a whole generation has often nothing to show for its existence but one solitary gem which some one manoften unnoticed in his timehas picked up for them, and so given them a local habitation and a name.
Eratosthenes had heard that in Syene, in Upper Egypt, deep wells were enlightened to the bottom on the day of the summer solstice, and that vertical objects cast no shadows.
He had before suggested, as is supposed, to Ptolemy Euergetes, to make him the two great copper armillæ, or circles for determining the equinox, which stood for centuries in that which is called the Square Porchprobably somewhere in the Museum. By these he had calculated the obliquity of the ecliptic, closely enough to serve for a thousand years after. That was one work done. But what had the Syene shadows to do with that? Syene must be under that ecliptic. On the edge of it. In short, just under the tropic. Now he had ascertained exactly the latitude of one place on the earths surface. He had his known point from whence to start on a world-journey, and he would use it; he would calculate the circumference of the earthand he did it. By observations made at Alexandria, he ascertained its latitude compared with that of Syene; and so ascertained what proportion to the whole circumference was borne by the 5000 stadia between Alexandria and Syene. He fell into an error, by supposing Alexandria and Syene to be under the same meridians of longitude: but that did not prevent his arriving at a fair rough result of 252,000 stadia31,500 Roman miles; considerably too much; but still, before him, I suppose, none knew whether it was 10,000, or 10,000,000. The right method having once been found, nothing remained but to employ it more accurately.