But the subject-matter of the sciences is not even the universe treated as a material whole, but the universe cut up into abstract ’ologies and ’onomies, each of which insidiously tends to swell into a full-seeming sphere of Truth, as when Political Economy, having proved that Free Trade produces the cheapest article, tends to assume that humanity is therefore bound to buy in the cheapest market; so that even the Tariff Reformer, under the same hypnosis, seeks to deny this economic law, instead of admitting and overriding it by considerations from supplementary spheres of Truth. Similar fallacies spring from pathology, psychology, physiology, criminology, and other methods of vivisecting our noble selves. We are parcelled out among the professors, each of them magnifying his office.

“Hark, hark, the lark at Heaven’s gate sings!”

says the beautiful song in Cymbeline. The sciences pounce upon that lark like hawks, and tear it to pieces between them. But the truth about the lark—is it in the unreal abstractions of the sciences, or is it in the poet’s perception of the lark in all the fulness, colour, and richness of actual existence?

The little Gradgrinds, says Dickens, had cabinets in various departments of science. “They had a little chronological cabinet, and a little metallurgical cabinet, and a little mineralogical cabinet, and the specimens were all arranged and labelled, and the bits of stones and ore looked as though they might have been broken off from the parent substances by those tremendously hard instruments, their own names.”

But it is only in the falsificatory museums of science that things exist in little cabinets, or that the butterfly is impaled on a pin and ranged in a glass case with other Lepidoptera. In the real universe it flutters alone amid the flowers. It is full of its own vivid life; it does not know it has been classified. This classification exists only in some student’s mind; the truth is in the fluttering butterfly. And Truth really flutters like a butterfly, free and joyous, winged with iridescent splendours and subtle shades. Truth is not a dead formula, but an airy aliveness.

When I was a youth studying mathematics and the ’ologies, I became infected with the sense of superiority to the crowd which these pursuits bring: such cold, logical reasoning, such rare reaches of thought! To think that men eminent in these branches should remain unrewarded by popular fame, while every petty scribbler with a gift of invention commanded the applause of the mob! To be a novelist seemed a paltry affair; yet later on I came to recognise that the crowd is right, and that those who decry the predominance of the novel are wrong. All these sciences and speculations deal with human life, not in its living fulness, but with an abstractness which makes it dead, unreal, false. The world’s instinctive distrust of pedants and students and mathematicians is justified. They isolate one aspect of life, one thread of the tangled skein, one motif in the eternal symphony, and sometimes drawing from reality the merest shred of tune, execute upon it an enormous fantasia—as in the higher mathematics—which plays itself out inaudibly in vacuo. The cold perfection of mathematics is due to our having eliminated in advance all the accidents of reality, and even the supposed infallibility of the proposition that two and two are four shatters itself upon the futility of adding two elephants to two speeches on the Irish question. And yet in those callow days it was to Number that I, like Pythagoras, was fain to look for the key of the riddle. But that was under the glittering spell of the late Monsieur Taine, who well-nigh persuaded me that a Science was only truly Scientific when it passed from the qualitative to the quantitative stage. If you could only express everything by mathematical formulæ, then at last you would catch that shy bird, Truth, by the tail. Strip away Truth’s feathers, then the flesh, then even the bones, till you get a meaningless world of imaginary atoms, and that, forsooth, is the ultimate Truth. “The universe,” said Taine triumphantly, “will one day be expressed in mathematical formulæ.” In other words, strip away all there is to know, get rid of all that interests you, the colour and the form and the glow of life, and then you will really know the thing. The only way to know a thing is elaborately to prevent yourself from knowing it.

That invaluable institution the Post Office annually provides us with statistics. So many billion letters are sent a year, so many postcards, so many packages, and of these so many are left open, and so many unaddressed or unstamped, and so many go astray. These figures have as much to do with the realities implied in this correspondence as the figures of the quantitative sciences with the realities they are drawn from. Even could it be proved that the ratio of unaddressed letters to addressed is constant over a given area, or that the percentage of postcards varies inversely with the status of the senders, how much nearer are we to the hot passions and wild despairs, the commercial greeds and the loving humours which are the actuality of the phenomena under calculation?

Even the lines and angles of geometry, which have more body than statistics, are a poor substitute for the full, rich world, with its forests and skies. Mathematics may be indispensable to navigation, but on the sea of life we sail very well without it. Some of the most charming women I know count on their fingers. When

“A Rosalind-face at the lattice shows,

* * *