of the Paris mint by Turgot. From this point on, Condorcet shifted his focus from the purely mathematical to philosophy and political matters. In the following years, he took up the defense of human rights in general, and of women's and Blacks' rights in particular (an abolitionist, he became active in the Society of the Friends of the Blacks in the 1780s). He supported the ideals embodied by the newly formed United States, and proposed projects of political, administrative and economic reforms intended to transform France. In 1776, Turgot was dismissed as Controller General. Consequently, Condorcet submitted his resignation as Inspector General of the Monnaie, but the request was refused, and he continued serving in this post until 1791. Condorcet later wrote Vie de M. Turgot (1786), a biography which spoke fondly of Turgot and advocated Turgot's economic theories. Condorcet continued to receive prestigious appointments: in 1777, he became Permanent Secretary of the Académie des Sciences, holding the post until the abolition of the Académie in 1793; and, in 1782, secretary of the Académie française. Condorcet's paradox and the Condorcet method In 1785, Condorcet published his Essay on the Application of Analysis to the Probability of Majority Decisions, one of his most important works. This work described several now famous results, including Condorcet's jury theorem, which states that if each member of a voting group is more likely than not to make a correct decision, the probability that the highest vote of the group is the correct decision increases as the number of members of the group increases, and Condorcet's paradox, which shows that majority preferences can become intransitive with three or more options – it is possible for a certain electorate to express a preference for A over B, a preference for B over C, and a preference for C over A, all from the same set of ballots. The paper also outlines a generic Condorcet method, designed to simulate pair-wise elections between all candidates in an election. He disagreed strongly with the alternative method of aggregating preferences put forth by Jean-Charles de Borda (based on summed rankings of alternatives). Condorcet was one of the first to systematically apply mathematics in the social sciences. Other works In 1781, Condorcet wrote a pamphlet, Reflections on Negro Slavery, in which he denounced slavery. In 1786, Condorcet worked on ideas for the differential and integral calculus, giving a new treatment of infinitesimals