Part 35

The same reasons which led Plato to recommend the study of arithmetic led him to recommend also the study of mathematics. The vulgar crowd of geometricians, he says, will not understand him. They have practice always in view. They do not know that the real use of the science is to lead men to the knowledge of abstract, essential, eternal truth. (3) Indeed, if we are to believe Plutarch, Plato carried this feeling so far that he considered geometry as degraded by being applied to any purpose of vulgar utility. Archytas, it seems, had framed machines of extraordinary power on mathematical principles. (4) Plato remonstrated with his friend, and declared that this was to degrade a noble intellectual exercise into a low craft, fit only for carpenters and wheelwrights. The office of geometry, he

(1) Plato’s _Republic,_ Book 7.

(2) _De Augmentis_, Lib. 3. Cap. 6.

(3) Plato’s _Republic_, Book 7.

(4) Plutarch, _Sympos_. viii. and _Life of Marcellus_. The machines of Archytas are also mentioned by Aulus Gellius and Diogenes Laertius

{450}said, was to discipline the mind, not to minister to the base wants of the body. His interference was successful; and from that time, according to Plutarch, the science of mechanics was considered as unworthy of the attention of a philosopher.

Archimedes in a later age imitated and surpassed Archytas. But even Archimedes was not free from the prevailing notion that geometry was degraded by being employed to produce any thing useful. It was with difficulty that he was induced to stoop from speculation to practice. He was half ashamed of those inventions which were the wonder of hostile nations, and always spoke of them slightingly as mere amusements, as trifles in which a mathematician might be suffered to relax his mind after intense application to the higher parts of his science.

The opinion of Bacon on this subject was diametrically opposed to that of the ancient philosophers. He valued geometry chiefly, if not solely, on account of those uses, which to Plato appeared so base. And it is remarkable that the longer Bacon lived the stronger this feeling became. When in 1605 he wrote the two books on the Advancement of Learning, he dwelt on the advantages which mankind derived from mixed mathematics; but he at the same time admitted that the beneficial effect produced by mathematical study on the intellect, though a collateral advantage, was “no less worthy than that which was principal and intended.” But it is evident that his views underwent a change. When, near twenty years later, he published the _De Augmentis_, which is the Treatise on the Advancement of Learning, greatly expanded and carefully corrected, he made important alterations in the part which related to mathematics. {451}He condemned with severity the high pretensions of the mathematicians, “delicias et fastum mathemati-corum.” Assuming the well-being of the human race to be the end of knowledge, (1) he pronounced that mathematical science could claim no higher rank than that of an appendage or an auxiliary to other sciences. Mathematical science, he says, is the handmaid of natural philosophy; she ought to demean herself as such; and he declares that he cannot conceive by what ill chance it has happened that she presumes to claim precedence over her mistress. He predicts--a prediction which would have made Plato shudder--that as more and more discoveries are made in physics, there will be more and more branches of mixed mathematics. Of that collateral advantage the value of which, twenty years before, he rated so highly, he says not one word. This omission cannot have been the effect of mere inadvertence. His own treatise was before him. From that treatise he deliberately expunged whatever was favourable to the study of pure mathematics, and inserted several keen reflections on the ardent votaries of that study. This fact, in our opinion, admits of only one explanation. Bacon’s love of those pursuits which directly tend to improve the condition of mankind, and his jealousy of all pursuits merely curious, had grown upon him, and had, it may be, become immoderate. He was afraid of using any expression which might have the effect of inducing any man of talents to employ in speculations, useful only to the mind of the speculator, a single hour which might be employed in extending the empire of man over matter. (2) If Bacon erred here, we

(1) Usui et commodis hominum consulirems.

(2) Compare the passage relating to mathematics in the Second Book of the Advancement of Learning, with the _De Augmeniis_, Lib. 3. Cap. 6.

{452}must acknowledge that we greatly prefer his error to the opposite error of Plato. We have no patience with a philosophy which, like those Roman matrons who swallowed abortives in order to preserve their shapes, takes pains to be barren for fear of being homely.

Let us pass to astronomy. This was one of the sciences which Plato exhorted his disciples to learn, but for reasons for removed from common habits of thinking. “Shall we set down astronomy,” says Socrates, “among the subjects of study?” (1) “I think so,” answers his young friend Glaucon: “to know something about the seasons, the months, and the years is of use for military purposes, as well as for agriculture and navigation.”

“It amuses me,” says Socrates, “to see how afraid you are, lest the common herd of people should accuse you of recommending useless studies.” He then proceeds, in that pure and magnificent diction which, as Cicero said, Jupiter would use if Jupiter spoke Greek, to explain that the use of astronomy is not to add to the vulgar comforts of life, but to assist in raising the mind to the contemplation of things which are to be perceived by the pure intellect alone. The knowledge of the actual motions of the heavenly bodies Socrates considers as of little value. The appearances which make the sky beautiful at night are, he tells us, like the figures which a geometrician draws on the sand, mere examples, mere helps to feeble minds. We must get beyond them; we must neglect them; we must attain to an astronomy which is as independent of the actual stars as geometrical truth is independent of the lines of an ill-drawn diagram. This is, we imagine, very nearly, if not exactly, the astronomy which Bacon

(1) Plato’s _Republic_, Book 7.

{453}compared to the ox of Prometheus, (1) a sleek, wellshaped hide, stuffed with rubbish, goodly to look at, but containing nothing to eat. He complained that astronomy had, to its great injury, been separated from natural philosophy, of which it was one of the noblest provinces, and annexed to the domain of mathematics. The world stood in need, he said, of a very different astronomy, of a living astronomy, (2) of an astronomy which should set forth the nature, the motion, and the influences of the heavenly bodies, as they really are. (3)

On the greatest and most useful of all human inventions, the invention of alphabetical writing, Plato did not look with much complacency. He seems to have thought that the use of letters had operated on the human mind as the use of the go-cart in learning to walk, or of corks in learning to swim, is said to operate on the human body. It was a support which, in his opinion, soon became indispensable to those who used it, which made vigorous exertion first unnecessary and then impossible. The powers of the intellect would, he conceived, have been more fully developed without this delusive aid. Men would have been compelled to exercise? the understanding and the memory, and, by deep and assiduous meditation, to make truth thoroughly their own. Now, on the contrary, much knowledge is traced on paper, but little is engraved in the soul. A man is certain that he can find information at a moment’s notice when he wants it. He therefore suffers it to fade from his mind. Such a man cannot in strictness

(1) _De Augmentis_, Lib. 3. Cap. 4.

(2) Astronomia viva.

(3) “Quæ substantiam et motum et influxum colestium, prout re vera flint proponat.” Compare this language with Plato’s, “[Greek]”

{454}be said to know any thing. He has the show without the reality of wisdom. These opinions Plato has put into the mouth of an ancient king of Egypt. (1) But it is evident from the context that they were his own; and so they were understood to be by Quinctilian. (2) Indeed they are in perfect accordance with the whole Platonic system.

Bacon’s views, as may easily be supposed, were widely different. (3) The powers of the memory, he observes, without the help of writing, can do little towards the advancement of any useful science. He acknowledges that the memory may be disciplined to such a point as to be able to perform very extraordinary feats. But on such feats he sets little value. The habits of his mind, he tells us, are such that he is not disposed to rate highly any accomplishment, however rare, which is of no practical use to mankind. As to these prodigious achievements of the memory, he ranks them with the exhibitions of rope-dancers and tumblers. “The two performances,” he says, “are of much the same sort. The one is an abuse of the powers of the body; the other is an abuse of the powers of the mind. Both may perhaps excite our wonder; but neither is entitled to our respect.”(4)

To Plato, the science of medicine appeared to be of very disputable advantage. He did not indeed object to quick cures for acute disorders, or for injuries produced by accidents. But the art which resists the slow sap of a chronic disease, which repairs frames enervated by lust, swollen by gluttony, or inflamed by wine, which encourages sensuality by mitigating the natural punishment of the sensualist, and prolongs existence

(1) Pinto’s Phaedrus.

(2) Quinctilian, XI.

(3) De Augmentis Lib. 5. Cup. 5.

(4) Pluto’s Republic, Book 3.

{455}when the intellect has ceased to retain its entire energy, had no share of his esteem. A life protracted by medical skill he pronounced to be a long death. The existence of the art of medicine ought, he said, to be tolerated, so far as that art may serve to cure the occasional distempers of men whose constitutions are good. As to those who have bad constitutions, let them die; and the sooner the better. Such men are unfit for war, for magistracy, for the management of their domestic affairs, for severe study and speculation. If they engage in any vigorous mental exercise, they are troubled with giddiness and fulness of the head, all which they lay to the account of philosophy. The best thing that can happen to such wretches is to have done with life at once. He quotes mythical authority in support of this doctrine; and reminds his disciples that the practice of the sons of Æsculapius, as described by Homer, extended only to the cure of external injuries.

Far different was the philosophy of Bacon. Of all the sciences, that which he seems to have regarded with the greatest interest was the science which, in Plato’s opinion, would not be tolerated in a well regulated community. To make men perfect was no part of Bacon’s plan. His humble aim was to make imperfect men comfortable. The beneficence of his philosophy resembled the beneficence of the common Father, whose sun rises on the evil and the good, whose rain descends for the just and the unjust. In Plato’s opinion man was made for philosophy; in Bacon’s opinion philosophy was made for man; it was a means to an end; and that end was to increase the pleasures and to mitigate the pains of millions who are not and cannot be philosophers. That a valetudinarian who took great pleasure in being wheeled along his terrace, who relished {456}his boiled chicken and his weak wine and water, and who enjoyed a hearty laugh over the Queen of Navarre’s tales, should be treated as a _caput lupinum_ because he could not read the Timæus without a headache, was a notion which the humane spirit of the English school of wisdom altogether rejected. Bacon would not have thought it beneath the dignity of a philosopher to contrive an improved garden chair for such a valetudinarian, to devise some way of rendering his medicines more palatable, to invent repasts which he might enjoy, and pillows on which he might sleep soundly; and this though there might not be the smallest hope that the mind of the poor invalid would ever rise to the contemplation of the ideal beautiful and the ideal good. As Plato had cited the religious legends of Greece to justify his contempt for the more recondite parts of the art of healing, Bacon vindicated the dignity of that art by appealing to the example of Christ, and reminded men that the great Physician of the soul did not disdain to be also the physician of the body. (1)

When we pass from the science of medicine to that of legislation, we find the same difference between the systems of these two great men. Plato, at the commencement of the Dialogue on Laws, lays it down as a fundamental principle that the end of legislation is to make men virtuous. It is unnecessary to point out the extravagant conclusions to which such a proposition leads. Bacon well knew to how great an extent the happiness of every society must depend on the virtue of its members; and he also knew what legislators can and what they cannot do for the purpose of promoting virtue. The view which he has given of the end of

(1) De Augmentis, Lib. 4. Cap. 2.

{457}legislation, and of the principal means for the attainment of that end, has always seemed to us eminently happy, even among the many happy passages of the same kind with which his works abound. “Finis et scopus quem leges intueri atopie ad quern jussion es et sanction es suas dirigere debent, non alius est quam ut cives féliciter degant. Id fixet si pietate et religione recte instituti, moribus honesti, armis ad versus liostes externos tuti, legum auxilio adversus seditiones et pri-vatas injurias muniti, imperio et magistratibus obse-quentes, copiis et opibus locupletes et florentes fluent.” (1) The end is the well-being of the people. The means are the imparting of moral and religious education; the providing of every thing necessary for defence against foreign enemies; the maintaining of internal order; the establishing of a judicial, financial, and commercial system, under which wealth may be rapidly accumulated and securely enjoyed.

Even with respect to the form in which laws ought to be drawn, there is a remarkable difference of opinion between the Greek and the Englishman. Plato thought a preamble essential; Bacon thought it mischievous. Each was consistent with himself. Plato, considering the moral improvement of the people as the end of legislation, justly inferred that a law which commanded and threatened, but which neither convinced the reason, nor touched the heart, must be a most imperfect law. He was not content with deterring from theft a man who still continued to be a thief at heart, with restraining a son who hated his mother from beating his mother. The only obedience on which he set much value was the obedience which an enlightened

(1) De Augmentis, Lib. 8. Cap. 3. Aph. 5.

{458}understanding yields to reason, and which a virtuous disposition yields to precepts of virtue. He really seems to have believed that, by prefixing to every law an eloquent and pathetic exhortation, he should, to a great extent, render penal enactments superfluous. Bacon entertained no such romantic hopes; and he well knew the practical inconveniences of the course which Plato recommended. “Neque nobis,” says he, “prologi legum qui inepti olim liabiti sunt, et leges in-troducunt disputantes non jubentes, utique placèrent, si priscos mores ferre possemus....Quantum fieri potest prologi evitentur, et lex incipiat a jussione.” (1)

Each of the great men whom we have compared intended to illustrate his system by a philosophical romance; and each left his romance imperfect. Had Plato lived to finish the Critias, a comparison between that noble fiction and the new Atlantis would probably have furnished us with still more striking instances than any which we have given. It is amusing to think with what horror he would have seen such an institution as Solomon’s House rising in his republic: with what vehemence he would have ordered the brewhouses, the perfume-houses, and the dispensatories to be pulled down; and with what inexorable rigour he would have driven beyond the frontier all the Fellows of the College, Merchants of Light and Depredators, Lamps and Pioneers.

To sum up the whole, we should say that the aim of the Platonic philosophy was to exalt man into a god. The aim of the Baconian philosophy was to provide man with what he requires while he continues to be man. The aim of the Platonic philosophy was to raise

(1) _De Augmentis_, Lib. 8. Cap. 3. Aph. 69.

{450}us far above vulgar wants. The aim of the Baconian philosophy was to supply our vulgar wants. The former aim was noble; but the latter was attainable.

Plato drew a good bow; but, like Acestes in Virgil, he aimed at the stars; and therefore, though there was no want of strength or skill, the shot was thrown away. His arrow was indeed followed by a track of dazzling radiance, but it struck nothing.

“Volans liquidis in nubibus arsit arundo

Signavitque viam flammis, tennisque recessit

Consunipta in ventos.”

Bacon fixed his eye on a mark which was placed on the earth, and within bow-shot, and hit it in the white. The philosophy of Plato began in words and ended in words, noble words indeed, words such as were to be expected from the finest of human intellects exercising boundless dominion over the finest of human languages. The philosophy of Bacon began in observations and ended in arts.

The boast of the ancient philosophers was that their doctrine formed the minds of men to a high degree of wisdom and virtue. This was indeed the only practical good which the most celebrated of those teachers even pretended to effect; and undoubtedly, if they had effected this, they would have deserved far higher praise than if they had discovered the most salutary medicines or constructed the most powerful machines. But the truth is that, in those very matters in which alone they professed to do any good to mankind, in those very matters for the sake of which they neglected all the vulgar interests of mankind, they did nothing, or worse than nothing. They promised what was impracticable; they despised what was practicable; they {460}filled the world with long words and long beards; and they left it as wicked and as ignorant as they found it.