Lecture I--The Ptolemaic Era

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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 age--an 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 Ptolemaean 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 Morgan's admirable article on him in "Smith's 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 Euclid's 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.