Blackwood's Edinburgh Magazine, Volume 59, No. 368, June 1846. Various

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СКАЧАТЬ on the interest which the mind takes in the study of mathematics. This study he regards as superior in gratification to every other, from its independence of external circumstances. In all other studies, he observes truly, that a large portion of the researches must depend upon facts imperfectly ascertained from the reports of others, and upon knowledge impeded by the capricious chances of things; while in pure science, the principles, the premises, and the conclusions, are wholly within our own power.

      In a passage exhibiting the affluence of the noble lord's language, he says, "The life of a geometrician may well be supposed an uninterrupted calm, and the gratification which is derived from its researches, is of a pure and also of a lively kind – whether he contemplates the truths discovered by others, with the demonstrative evidence on which they rest, or carries the science further, and himself adds to the number of the interesting truths before known. He may be often stopt in his researches by the difficulties that beset his path; he may be frustrated in his attempts to discover relations, depending on complicated data, which he cannot unravel or reconcile; but his study is wholly independent of accident, his reliance is on his own powers. Contestation and uncertainty he never can know; a stranger to all controversy, above all mystery, he possesses his mind in unruffled peace. Bound by no authority, regardless of all consequences as of all opposition, he is entire master of his conclusions as of his operations, and feels even perfect indifference to the acceptance or objection of his doctrines, because he confidently looks forward to their universal and immediate admission the moment they are comprehended."

      All this is strikingly expressed, yet it is after all but a showy hypothesis. That pure mathematics have nothing to do with external existence, may be easily granted; but that mathematicians are exempt from controversy, is no more a matter of experience than that all mathematical assertions are self-evident. The history of science is a direct contradiction of this halcyon hypothesis. The bitterest controversies, and the most ridiculous too, have been raised on mathematical opinions. Universal experience tends strongly to the proof, that no exclusive exertion of the mind is more fatal to its general vigour, more apt to narrow its range of conception; more distinctly operative, by its very exclusiveness, and by its making minute truths the especial object of the mind, in rendering it incapable of those loftier and broader truths on which depend all the great concerns of society, all the efficient progress of civilisation, and all the nobler growth of human powers – than the mere study of mathematics. A spider drawing his web out of his own fibres, and constructing his little lines and circles in his dusty corner, is the fittest emblem of the mere mathematician. In this language, we acknowledge the use of the science; we protest only against its pretence of superiority. Every man's experience of college studies may supply him with examples; but we have room but for one, and that of a sufficiently high order.

      When Napoleon assumed the French throne, in his ambition of being regarded as the universal patron of science he appointed the author of the Méchanique Céleste a member of his privy council. But La Place, then and since, the first scientific name of France, was found utterly inadequate to even the almost sinecure duties of his office. Napoleon soon found that he could make no use of him. He accordingly consulted him no longer. "I found his mind," said he, "like his book, full of infiniments petits." Or if we look for further illustration among the French geometers – the only men among whom the trial can be made, from their opportunities of power in the Revolution – there was not one of them who exhibited any qualification for the higher duties of public life. Bailly, Condorcet, and their tribe, proved themselves utterly feeble, helpless, and trifling, where manliness, activity, and intelligence of mind were required. The Savans were swept away like a swarm of mice, or crushed like musquitoes, when they dared to buzz in the presence of the public. That they were first-rate mathematicians there can be no question; that they quarrelled about their mathematical theories with the bitterness, and not a little in the style of village gossips, is equally certain; and that, though the Encyclopedists had chiefly died off before the Revolution, their successors and imitators were extinguished by their preposterous combination of an avarice of power, and of an inadequacy to exertion, is a fact written unanswerably in the history of their trifling career, and of their early scaffolds. The ridiculous figure made in politics by the first astronomer of France, at this moment, only strengthens the conclusion.

      The life of D'Alembert is, however, one of the happiest illustrations of the use to which science may be applied, in raising an obscure individual into public fame. Yet, it is not to be forgotten, that D'Alembert's European celebrity commenced only when he had laid aside the exclusive study of mathematics, and devoted himself to general literature, and, shaking off the dust of his closet, he became a man of the world.

      Jean le Rond d'Alembert was born in November 1717, and was exposed as a foundling near the church of St Jean le Rond in Paris, and thus called by the name of the parish. The commissary of the district, taking pity upon the infant's apparently dying condition, instead of sending it to the hospital, where it would have inevitably died, gave it to be nursed by the wife of a poor glazier. In a few days, however, a person named D'Estouches, a commissary of artillery, came forward, acknowledged the child, and made provision for its support. The habits of foreign life are generally so scandalous, that they can scarcely be alluded to without offending our sense of delicacy. The mother of this infant was an unmarried woman, living in the very highest circles of Paris, the sister of Cardinal Tencin, archbishop of Lyons. This woman thus added to her vice the cruelty of exposing her unfortunate offspring to die of cold and hunger in the streets. It does not appear that her profligacy, though notorious, ever affected her position in society. Her coteries were as gay, her circle was as complete, and her rank as high, as ever. In the Paris of those days, "throwing the first stone" was unheard of; its reaction would have been an avalanche; there was no scandal where there was no concealment; there was no crime where there was no conscience; and thus danced the world away, until the scourge of a higher power swept the whole noblesse of France into beggary and exile.

      D'Alembert seems to have taken his surname from that of his nurse, and was sent, when twelve years old, to the College of La Nation, then in the possession of the Jansenists. There he learned mathematics. On leaving the college, he returned to the glazier's house, there had one room for his bedroom and study, lived on the family fare, supported himself on a pension of £50 a-year left to him by his father, and in that house lived for forty years. He once made an abortive attempt to study the law and medicine, but soon grew weary of both, and returned to mathematics, for which he had a decided predilection. His application to this study, however, by no means pleased the homely sense of his old nurse. "You will never be any thing better than a philosopher," was her usual saying. "And what's a philosopher? – a fool, who wears out his life, to be spoken of after he is dead."

      But D'Alembert had evidently a passion for science; and in his twenty-third year he sent to the Academy of Sciences an analytical paper, which attracted general notice. This was followed by his admission into the society, at the unusually early age of twenty-four. From this period, he proceeded for eighteen years, constantly furnishing the Academy with papers, which added greatly to its reputation and his own. In a note on the presumed discovery of Taylor's Theorem by D'Alembert, the noble biographer alludes to what he regards as a similar event, the discovery of the "Binomial Theorem" by himself. We must acknowledge, that we cannot easily comprehend how any student, within the last hundred years, could have had this "discovery" to make – the Binomial Theorem being one of the very first which meets the eye of the algebraist, in Newton's, and every other treatise on analysis. It seems to us very like an English reader's "discovery" of the alphabet, or, at least, of the recondite art of spelling words of two syllables. But D'Alembert was at length to find, that if he was to obtain either fame or fortune, he must seek them in some other road. At this period, infidelity had become the distinction of all who arrogated to themselves intellectual accomplishment. The power of the crown, and the power of the clergy, had hitherto made its expression dangerous; but the new liberalism of the throne having enfeebled its power, the reign of the libeller, the rebel, and the sceptic openly commenced. The opulence of the clergy increased the bitterness of their enemies; and the blow which was intended to lay the throne in the dust, was nominally aimed at religion. Voltaire had commenced this crusade half a century before; but the arch-infidel lived beyond the dominion of France, possessed an independent СКАЧАТЬ