One other great merit of Eratosthenes is, that he first raised Geography to the rank of a science. His Geographica were an organic collection, the first the world had ever seen, of all the travels and books of earth-description heaped together in the Great Library, of which he was for many years the keeper. He began with a geognostic book, touched on the traces of Cataclysms and Change visible on the earth’s surface; followed by two books, one a mathematical book, the other on political geography, and completed by a map—which one would like to see: but—not a trace of all remains, save a few quoted fragments—
We are such stuff
As dreams are made of.
But if Eratosthenes had hold of eternal fact and law on one point, there was a contemporary who had hold of it in more than one. I mean Archimedes; of whom, as I have said, we must speak as of an Alexandrian. It was as a mechanician, rather than as an astronomer, that he gained his reputation. The stories of his Hydraulic Screw, the Great Ship which he built for Hiero, and launched by means of machinery, his crane, his war-engines, above all his somewhat mythical arrangement of mirrors, by which he set fire to ships in the harbour—all these, like the story of his detecting the alloy in Hiero’s crown, while he himself was in the bath, and running home undressed shouting εὕρηκα—all these are schoolboys’ tales. To the thoughtful person it is the method of the man which constitutes his real greatness, that power of insight by which he solved the two great problems of the nature of the lever and of hydrostatic pressure, which form the basis of all static and hydrostatic science to this day. And yet on that very question of the lever the great mind of Aristotle babbles—neither sees the thing itself, nor the way towards seeing it. But since Archimedes spoke, the thing seems self-evident to every schoolboy. There is something to me very solemn in such a fact as this. It brings us down to some of the very deepest questions of metaphysic. This mental insight of which we boast so much, what is it? Is it altogether a process of our own brain and will? If it be, why have so few the power, even among men of power, and they so seldom? If brain alone were what was wanted, what could not Aristotle have discovered? Or is it that no man can see a thing unless God shows it him? Is it that in each separate act of induction, that mysterious and transcendental process which cannot, let logicians try as they will, be expressed by any merely logical formula, Aristotelian or other—is it I say, that in each separate act of induction we do not find the law, but the law is shown to us, by Him who made the law? Bacon thought so. Of that you may find clear proof in his writings. May not Bacon be right? May it not be true that God does in science, as well as in ethics, hide things from the wise and prudent, from the proud, complete, self-contained systematiser like Aristotle, who must needs explain all things in heaven and earth by his own formulæ, and his entelechies and energies, and the rest of the notions which he has made for himself out of his own brain, and then pack each thing away in its proper niche in his great cloud-universe of conceptions? Is it that God hides things from such men many a time, and reveals them to babes, to gentle, affectionate, simple-hearted men, such as we know Archimedes to have been, who do not try to give an explanation for a fact, but feel how awful and divine it is, and wrestle reverently and stedfastly with it, as Jacob with the Angel, and will not let it go, until it bless them? Sure I am, from what I have seen of scientific men, that there is an intimate connection between the health of the moral faculties and the health of the inductive ones; and that the proud, self-conceited, and passionate man will see nothing: perhaps because nothing will be shown him.
But we must leave Archimedes for a man not perhaps so well known, but to whom we owe as much as to the great Syracusan—Hipparchus the astronomer. To his case much which I have just said applies. In him astronomic science seemed to awaken suddenly to a true inductive method, and after him to fall into its old slumber for 300 years. In the meantime Timocharis, Aristyllus, and Conon had each added their mites to the discoveries of Eratosthenes: but to Hipparchus we owe that theory of the heavens, commonly called the Ptolemaic system, which, starting from the assumption that the earth was the centre of the universe, attempted to explain the motions of the heavenly bodies by a complex system of supposed eccentrics and epicycles. This has of course now vanished before modern discoveries. But its value as a scientific attempt lies in this: that the method being a correct one, correct results were obtained, though starting from a false assumption; and Hipparchus and his successors were enabled by it to calculate and predict the changes of the heavens, in spite of their clumsy instruments, with almost as much accuracy as we do now.
For the purpose of working out this theory he required a science of trigonometry, plane and spherical: and this he accordingly seems to have invented. To him also we owe the discovery of that vast gradual change in the position of the fixed stars, in fact, of the whole celestial system, now known by the name of the precession of the equinoxes; the first great catalogue of fixed stars, to the number of 1080; attempts to ascertain whether the length of years and days were constant; with which, with his characteristic love of truth, he seems to have been hardly satisfied. He too invented the planisphere, or mode of representing the starry heavens upon a plane, and is the father of true geography, having formed the happy notion of mapping out the earth, as well as the heavens, by degrees of latitude and longitude.
Strange it is, and somewhat sad, that we should know nothing of this great man, should be hardly able to distinguish him from others of the same name, but through the works of a commentator, who wrote and observed in Alexandria 300 years after, during the age of the Antonines. I mean, of course, the famous Ptolemy, whose name so long bore the honour of that system which really belonged to Hipparchus.
This single fact speaks volumes for the real weakness of the great artificial school of literature and science founded by the kings of Egypt. From the father of Astronomy, as Delambre calls him, to Ptolemy, the first man who seems really to have appreciated him, we have not a discovery, hardly an observation or a name, to fill the gap. Physical sages there were; but they were geometers and mathematicians, rather than astronomic observers and inquirers. And in spite of all the huge appliances and advantages of that great Museum, its inhabitants were content, in physical science, as in all other branches of thought, to comment, to expound, to do everything but open their eyes and observe facts, and learn from them, as the predecessors whom they pretended to honour had done. But so it is always. A genius, an original man appears. He puts himself boldly in contact with facts, asks them what they mean, and writes down their answer for the world’s use. And then his disciples must needs form a school, and a system; and fancy that they do honour to their master by refusing to follow in his steps; by making his book a fixed dogmatic canon; attaching to it some magical infallibility; declaring the very lie which he disproved by his whole existence, that discovery is henceforth impossible, and the sum of knowledge complete: instead of going on to discover as he discovered before them, and in following his method, show that they honour him, not in the letter, but in spirit and in truth.
For this, if you will consider, is the true meaning of that great command, “Honour thy father and mother, that thy days may be long in the land.” On reverence for the authority of bygone generations depends the permanence of every form of thought or belief, as much as of all social, national, and family life: but on reverence of the spirit, not merely of the letter; of the methods of our ancestors, not merely of their conclusions. Ay, and we shall not be able to preserve their conclusions, not even to understand them; they will die away on our lips into skeleton notions, and soulless phrases, unless we see that the greatness of the mighty dead has always consisted in this, that they were seekers, improvers, inventors, endued with that divine power and right of discovery which has been bestowed on us, even as on them; unless we become such men as they were, and go on to cultivate and develop the precious heritage which they have bequeathed to us, instead of hiding their talent in a napkin and burying it in the earth; making their greatness an excuse for our own littleness, their industry for our laziness, their faith for our despair; and prating about the old paths, while we forget that paths were made that men might walk in them, and not stand still, and try in vain to stop the way.
It may be said, certainly, as an excuse for these Alexandrian Greeks, that they were a people in a state of old age and decay; and that they only exhibited the common and natural faults of old age. For as with individuals, so with races, nations, societies, schools of thought—youth is the time of free fancy and poetry; manhood of calm and strong induction; old age of deduction, when men settle down upon their lees, and content themselves with reaffirming and verifying the conclusions of their earlier years, and too often, alas! with denying and anathematising all conclusions which have been arrived at since their own meridian. It is sad: but it is patent and common. It is sad to think that the day may come to each of us, when we shall have ceased to hope for discovery and for progress; when a thing will seem à priori false to us, simply because it is new; and we shall be saying querulously to the Divine Light which lightens every man who comes into the world: “Hitherto shalt thou come, and no further. Thou hast taught men enough; yea rather, thou hast exhausted thine own infinitude, and hast no more to teach them.” Surely such a temper is to be fought against, prayed against, both in ourselves, and in the generation in which we live. Surely there is no reason why such a temper should overtake old age. There may be reason enough, “in the nature of things.” For that which is of nature is born only to decay and die. But in man there is more than dying nature; there is spirit, and a capability of spiritual and everlasting life, which renews its youth like the eagle’s, and goes on from strength to strength, and which, if it have its autumns and its winters, has no less its ever-recurring springs and summers; if it has its Sabbaths, finds in them only rest and refreshment for coming labour. And why not in nations, societies, scientific schools? These too are not merely natural: they are spiritual, and are only living and healthy in as far as they are in harmony with spiritual, unseen, and everlasting laws of God. May not they, too, have a capability of everlasting life, as long as they obey those laws in faith, and patience, and humility? We cannot deny the analogy between the individual man and these societies of men. We cannot, at least, deny the analogy between them in growth, decay, and death. May we not have hope that it holds good also for that which can never die; and that if they do die, as this old Greek society did, it is by no brute natural necessity, but by their own unfaithfulness to that which they knew, to that which they ought to have known? It is always more hopeful, always, as I think, more philosophic, to throw the blame of failure on man, on our own selves, rather than on God, and the perfect law of His universe. At least let us be sure for ourselves, that such an old age as befell this Greek society, as befalls many a man nowadays, need not be our lot. Let us be sure that earth shows no fairer sight than the old man, whose worn-out brain and nerves make it painful, and perhaps impossible, to produce fresh thought himself: but who can yet welcome smilingly and joyfully the fresh thoughts of others; who keeps unwearied his faith in God’s government of the universe, in God’s continual education of the human race; who draws around him the young and the sanguine, not merely to check their rashness by his wise cautions, but to inspirit their sloth by the memories of his own past victories; who hands over, without envy or repining, the lamp of truth to younger runners than himself, and sits contented by, bidding the new generation God speed along the paths untrodden by him, but seen afar off by faith. A few such old persons have I seen, both men and women; in whom the young heart beat pure and fresh, beneath the cautious and practised brain of age, and gray hairs which were indeed a crown of glory. A few such have I seen; and from them I seemed to learn what was the likeness of our Father who is in heaven. To such an old age may He bring you and me, and all for whom we are bound to pray.