[Footnote 8: He describes this moment of spontaneous inspiration in one of his letters to M. de Malesherbes, and in his Confessions, with enthusiastic eloquence. Diderot denied the truth of the statement, saying, that in fact Rousseau had shown him the question in the newspaper, in the park of Vincennes, and said, that he meant to write in favour of the arts and sciences; but, on the representation of Diderot, he found that finer things might be said on the other side, and consequently adopted it. We doubt all this. Our own experience has shown us the great mistakes people can fall into, when they pretend to recount the thoughts and actions of others. Rousseau would never have written this detail to M. de Malesherbes, had he not believed it to be true; and we think that he is more likely to have known the truth than Diderot.] [Footnote 9: There is an admirable letter addressed by the countess de Boufflers to Hume, which proves the ill-treatment which Rousseau met, and the general spirit of unkindness and treacherous ridicule in vogue against him; while at the same time the writer does not defend Rousseau's extravagant suspicions and conduct. The good sense and good taste of the whole letter is remarkable. Unfortunately placid David Hume had suffered himself to be led away by anger, and it was of no avail.] CONDORCET 1744-1794. Marie Jean Antoine de Caritat, marquis de Condorcet, was born at Saint Quentin, in Picardy, on the 17th of September, 1744. It is said that at an early age he gave tokens of the talents that distinguished him. The bent of his genius led him to the study of the exact sciences. It is the distinction of these pursuits that they lead at once to celebrity. A discovery in mathematics can neither be denied nor passed over. Condorcet, at the age of twenty-one, was the author of a memoir on the integral calculus, one of the highest branches of the pure mathematics, in which at that time but small advances had been made, although it has since become one of the most powerful instruments of physical investigation. This essay gave him at once a title to be regarded as a successor worthy of Newton and Leibnitz, whose discoveries in the infinitesimal analysis he subsequently extended. This essay was published in the _Mémoires des Savants Étrangers_, and he was elected coadjutor of Grandjean de Fouchy, in the secretaryship of the Academy of Sciences. Eager to justify the choice of the Academy, he continued successfully to direct his labours to the higher mathematics. Among his essays on these branches of science may be mentioned a general method of finding the integral of an equation in finite terms whenever such an integral exists, and the general solution of the problem of maxima and minima. Had he continued to cultivate pure mathematics, there can be no doubt that he would have attained the greatest celebrity in that department of science.