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Dionysius, much astonished, consented to let Pythias go, marveling what would be the issue of the affair. Time went on, and Pythias did not appear. The Syracusans watched Damon, but he showed no uneasiness. He said he was secure of his friend's truth and honor, and that if any accident had caused the delay of his return, he should rejoice in dying to save the life of one so dear to him.

Even to the last day Damon continued serene and content, however it might fall out; nay, even when the very hour drew nigh and still no Pythias. His trust was so perfect, that he did not even grieve at having to die for a faithless friend who had left him to the fate to which he had unwarily pledged himself. It was not Pythias' own will, but the winds and waves, so he still declared, when the decree was brought and the instruments of death made ready. The hour had come, and a few moments more would have ended Damon's life, when Pythias duly presented himself, embraced his friend, and stood forward himself to receive his sentence, calm, resolute, and rejoiced that he had come in time.

Even the dim hope they owned of a future state was enough to make these two brave men keep their word, and confront death for one another without quailing. Dionysius looked on more struck than ever. He felt that neither of such men must die. He reversed the sentence of Pythias, and calling the two to his judgment seat, he entreated them to admit him as a third in their friendship. Yet all the time he must have known it was a mockery that he should ever be such as they were to each other—he who had lost the very power of trusting, and constantly sacrificed others to secure his own life, whilst they counted not their lives dear to them in comparison with their truth to their word, and love to one another. No wonder that Damon and Pythias have become such a byword that they seem too well known to have their story told here, except that a name in every one's mouth sometimes seems to be mentioned by those who have forgotten or never heard the tale attached to it.

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[THOMAS BABINGTON MACAULAY: An English historian and essayist; horn October 25, 1800; son of a noted philanthropist and a Quaker lady; died at London, December 28, 1859. He was educated at Trinity College, Cambridge, and called to the bar, but took to writing for the periodicals and to politics; became famous for historical essays, was a warm advocate of Parliamentary Reform, and was elected to Parliament in 1830. In 1834 he was made a member of the Supreme Legislative Council for India, residing there till 1838, and making the working draft of the present Indian Penal Code. He was Secretary at War in 1839. The first two volumes of his "History of England" were published in December, 1848. His fame rests even more on his historical essays, his unsurpassed speeches, and his "Lays of Ancient Rome."]

It is altogether incorrect to say, as has often been said, that Bacon was the first man who rose up against the Aristotelian philosophy when in the height of its power. The authority of that philosophy had received a fatal blow long before he was born. The part which Bacon played in this great change was the part, not of Robespierre, but of Bonaparte. 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."

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 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 traveling 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, and declared that this was to degrade a noble intellectual exercise into a low craft, fit only for carpen

ters 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 anything 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 remarkabe 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 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

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