once a proficient in the school of Aristotle and in that of Christ. Zwingle, Bucer, Peter Martyr, Calvin, held similar language. In some of the Scotch universities, the Aristotelian system was discarded for that of Ramus. Thus, before the birth of Bacon, the empire of the scholastic philosophy had been shaken to its foundations. There was in the intellectual world an anarchy resembling that which in the political world often follows the overthrow of an old and deeply rooted government. Antiquity, prescription, the sound of great names, had ceased to awe mankind. The dynasty which had reigned for ages was at an end; and the vacant throne was left to be struggled for by pretenders.

The first effect of this great revolution was, as Bacon most justly observed,* to give for a time an undue importance to the mere graces of style. The new breed of scholars, the Aschams and Buchanans, nourished with the finest compositions of the Augustan age, regarded with loathing the dry, crabbed, and barbarous diction of respondents and opponents. They were far less studious about the matter of their writing than about the manner. They succeeded in reforming Latinity; but they never even aspired to effect a reform in philosophy.

At this time Bacon appeared. It is altogether incorrect to say, as has often been said, that he was the first man who rose up against the Aristotelian philosophy when in the height of its power. The authority of that philosophy had, as we have shown, received a fatal blow long before he was born. Several speculators, among whom Ramus is the best known, had recently attempted to form new sects. Bacon's own expressions about the state of public opinion in the time of Luther are clear and strong: "Accedebat," says he, "odium et contemptus, illis ipsis temporibus ortus erga Scholasticos." And again, "Scholasticorum doctrina despectui prorsus haberi cœpit tan* De Augmentis, Lib. 1.

quam aspera et barbara."* The part which Bacon played in this great change was the part, not of Robespierre, but of Bonaparte. The ancient order of things had been subverted. Some bigots still cherished with devoted loyalty the remembrance of the fallen monarchy and exerted themselves to effect a restoration. But the majority had no such feeling. Freed, yet not knowing how to use their freedom, they pursued no determinate course, and had found no leader capable of conducting them.

That leader at length arose. The philosophy which he taught was essentially new. It differed from that of the celebrated ancient teachers, not merely in method, but also in object. Its object was the good of mankind, in the sense in which the mass of mankind always have understood and always will understand the word good. "Meditor," said Bacon, "instaurationem philosophiæ ejusmodi quæ nihil inanis aut abstracti habeat, quæque vitæ humanæ conditiones in melius provehat." **

The difference between the philosophy of Bacon and that of his predecessors cannot, we think, be better illustrated than by comparing his views on some important subjects with those of Plato. We select Plato, because we conceive that he did more than any other person towards giving to the minds of speculative men that bent which they retained till they received from Bacon a new impulse in a diametrically opposite direction.

It is curious to observe how differently these great men estimated the value of every kind of knowledge. Take Arithmetic for example. Plato, after speaking slightly of the convenience of being able to reckon and compute in the ordinary transactions of life, passes to what he considers as a far more

* Both these passages are in the first book of the DeAugmentis. **Redargutio Philosophiarum.

important advantage. The study of the properties of numbers, he tells us, habituates the mind to the contemplation of pure truth, and raises us above the material universe. He would have his disciples apply themselves to this study, not that they may be able to buy or sell, not that they may qualify themselves to be shopkeepers or travelling merchants, but that they may learn to withdraw their minds from the ever-shifting spectacle of this visible and tangible world, and to fix them on the immutable essences of things.*

Bacon, on the other hand, valued this branch of knowledge, only on account of its uses with reference to that visible and tangible world which Plato so much despised. He speaks with scorn of the mystical arithmetic of the later Platonists, and laments the propensity of mankind to employ, on mere matters of curiosity, powers the whole exertion of which is required for purposes of solid advantage. He advises arithmeticians to leave these trifles, and to employ themselves in framing convenient expressions, which may be of use in physical researches.**

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.*** 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.† Plato remonstrated with his friend, *Plato's Republic, Book 7. **De Augmentis, Lib. 3. Cap. 6. *** Plato's Republic, Book 7.

Plutarch, Sympos. viii. and Life of Marcellus. The machines of Archytas are also mentioned by Aulus Gellius and Diogenes Laertius.

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 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. He condemned

with severity the high pretensions of the mathematicians, "delicias et fastum mathematicorum." Assuming the well-being of the human race to be the end of knowledge,* 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.** If Bacon erred here, we must acknowledge that we greatly prefer his error to the opposite error of Plato. We have no patience with a philosophy which, like those

*Usui et commodis hominum consulimus.

* Compare the passage relating to mathematics in the Second Book of the Advancement of Learning, with the De Augmentis, Lib. 3. Cap. 6.