From 1765 to 1774, he focused on science. In 1765, he published his first work on mathematics entitled Essai sur le calcul intégral, which was well received, launching his career as a Mathematician. He would go on to publish more papers, and on 25 February 1769, he was elected to the Académie royale des Sciences (French Royal Academy of Sciences).
In 1774, Condorcet was appointed inspector general 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.
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 – a work which was never printed. In 1789, he published Vie de Voltaire (1789), which agreed with Voltaire in his opposition to the Church. In 1791, Condorcet along with Sophie de Grouchy, Thomas Paine, Etienne Dumont, Jacques-Pierre Brissot, and Achilles Duchastellet published a brief journal titled Le Républicain. Its main goal being the promotion of republicanism and the rejection of establishing a constitutional monarchy. The theme being that any sort of monarchy is a threat to freedom no matter who is leading, which emphasized that liberty is freedom from domination.
In 1785, Condorcet wrote an essay on the application of analysis of the probability of decisions made on a majority vote, 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.
In 1786 Condorcet married Sophie de Grouchy, who was more than twenty years his junior. His wife, reckoned one of the most beautiful women of the day, became an accomplished salon hostess as Madame de Condorcet, and also an accomplished translator of Thomas Paine and Adam Smith. She was intelligent and well-educated, fluent in both English and Italian. The marriage was a strong one, and Sophie visited her husband regularly while he remained in hiding. Although she began proceedings for divorce in January 1794, it was at the insistence of Condorcet and Cabanis, who wished to protect their property from expropriation and to provide financially for Sophie and their young daughter, Louise 'Eliza' Alexandrine.
He advocated women's suffrage for the new government, writing an article for Journal de la Société de 1789, and by publishing De l'admission des femmes au droit de cité ("For the Admission to the Rights of Citizenship For Women") in 1790.
Condorcet's work was mainly focused on a quest for a more egalitarian society. This path led him to think and write about gender equality in the Revolutionary context. In 1790, he published "De l'admission des femmes au droit de cité"("On the Admission of Women to the Rights of Citizenship") in which he strongly advocated for women's suffrage in the new Republic as well as the enlargement of basic political and social rights to include women. One of the most famous Enlightenment thinkers at the time, he was one of the first to make such a radical proposal. A visionary, he identified gender as a social construction based on perceived differences in sex and rejected biological determinism as being able to explain gender relations in society. He denounced patriarchal norms of oppression, present at every institutional level, and continuously subjugating and marginalising women. Like fellow Enlightenment thinker Jean-Jacques Rousseau in his book Emile ou De l'Education (1762), Condorcet identified education as crucial to the emancipation of individuals. He stated: ″ I believe that all other differences between men and women are simply the result of education″. He saw it as the only solution for women to deconstruct gender roles and promote another kind of masculinity, not based on violence, virility and the subjugation of women but rather on shared attributes such as reason and intelligence. In his book "Essays in the Philosophy of Humanism", Hooks calls this new concept "feminine masculinity", ″new Models of self‐assertion that do not require the construction of an enemy ‘other,’ be it a woman or the symbolic feminine, for them to define themselves against″.
In April 1792 Condorcet presented a project for the reformation of the education system, aiming to create a hierarchical system, under the authority of experts, who would work as the guardians of the Enlightenment and who, independent of power, would be the guarantors of public liberties. The project was judged to be contrary to the republican and egalitarian virtues, giving the education of the Nation over to an aristocracy of savants. The institution adopted Condorcet's design for the state education system, and he drafted a proposed Bourbon Constitution for the new France.
Condorcet was on the Constitution Committee and was the main author of the Girondin constitutional project. The constitution was not put to vote. When the Montagnards gained control of the Convention, they wrote their own, the French Constitution of 1793. Condorcet criticized the new work, and as a result, he was branded a traitor. On 3 October 1793, a warrant was issued for Condorcet's arrest.
On 25 March 1794 Condorcet, convinced he was no longer safe, left his hideout and attempted to flee Paris. He went to seek refuge at the house of Jean-Baptiste Suard, a friend of his whom he resided with in 1772. But they refused him on the basis that one of their current residents would betray his presence. Two days later he was arrested in Clamart and imprisoned in Bourg-la-Reine (or, as it was known during the Revolution, Bourg-l'Égalité, "Equality Borough" rather than "Queen's Borough"). Two days after that, he was found dead in his cell. The most widely accepted theory is that his friend, Pierre Jean George Cabanis, gave him a poison which he eventually used. However, some historians believe that he may have been murdered (perhaps because he was too loved and respected to be executed). Jean-Pierre Brancourt (in his work L'élite, la mort et la révolution) claims that Condorcet was killed with a mixture of Datura stramonium and opium.
Condorcet's Sketch for a Historical Picture of the Progress of the Human Spirit (1795) was perhaps the most influential formulation of the idea of progress ever written. It made the Idea of Progress a central concern of Enlightenment thought. He argued that expanding knowledge in the natural and social sciences would lead to an ever more just world of individual freedom, material affluence, and moral compassion. He argued for three general propositions: that the past revealed an order that could be understood in terms of the progressive development of human capabilities, showing that humanity's "present state, and those through which it has passed, are a necessary constitution of the moral composition of humankind"; that the progress of the natural sciences must be followed by progress in the moral and political sciences "no less certain, no less secure from political revolutions"; that social evils are the result of ignorance and error rather than an inevitable consequence of human nature.
Condorcet was survived by his widow and their four-year-old daughter Eliza. Sophie died in 1822, never having remarried, and having published all her husband's works between 1801 and 1804. Her work was carried on by their daughter Eliza Condorcet-O'Connor, wife of former United Irishman Arthur O'Connor. The Condorcet-O'Connors brought out a revised edition between 1847 and 1849.
Condorcet was symbolically interred in the Panthéon in 1989, in honor of the bicentennial of the French Revolution and Condorcet's role as a central figure in the Enlightenment. However his coffin was empty. Interred in the Common cemetery of Bourg-la-Reine, his remains were lost during the nineteenth century.
Rothschild (2001) argues that Condorcet has been seen since the 1790s as the embodiment of the cold, rational Enlightenment. However she suggests his writings on economic policy, voting, and public instruction indicate different views both of Condorcet and of the Enlightenment. Condorcet was concerned with individual diversity; he was opposed to proto-utilitarian theories; he considered individual independence, which he described as the characteristic liberty of the moderns, to be of central political importance; and he opposed the imposition of universal and eternal principles. His efforts to reconcile the universality of some values with the diversity of individual opinions are of continuing interest. He emphasizes the institutions of civilized or constitutional conflict, recognizes conflicts or inconsistencies within individuals, and sees moral sentiments as the foundation of universal values. His difficulties call into question some familiar distinctions, for Example between French, German, and English-Scottish thought, and between the Enlightenment and the counter-Enlightenment. There was substantial continuity between Condorcet's criticism of the economic ideas of the 1760s and the liberal thought of the early 19th century.
At the Trial of Louis XVI, Condorcet, who opposed the death penalty but still supported the trial itself, spoke out against the execution of the King during the public vote at the Convention – he proposed to send the king to the galleys.