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 income, had acquired the reputation of the wittiest man in Europe, and had established a species of impunity by the pungency of his perpetual sneers. During this period, French infidelity had been silent through fear, but it was not the less virulent, active, and general. It appeared in the result, that almost the whole of the French higher orders were either deists or total unbelievers. All the literary men of France followed the example of Voltaire, and a scoff at religion was always accepted as an evidence of wit. France loves extremes; and, as the poplar literature of Paris is now plunged in impurity, fifty years ago it was characterized by outrageous blasphemy. The only religion which France knew, was certainly not calculated to repress the evil. Its fantastic exhibitions and grim formalities, were equally obnoxious to the human understanding. Its persecuting spirit insulted the growing passion of the people for liberty; while its fierce dogmas, contrasting with its ridiculous traditions, supplied the largest materials at once for horror and ridicule.