Marquis de Condorcet — Human Perfectibility, Social Arithmetic, and the Sketch Written in Hiding (1743–1794)

Marie-Jean-Antoine-Nicolas de Caritat, Marquis de Condorcet, was a French philosopher, mathematician, and political theorist — born on 17 September 1743 in Ribemont, Aisne, into a noble family, fatherless in infancy, raised by a devoutly Catholic mother, educated at the Jesuit college in Reims and the Collège de Navarre in Paris, where he revealed himself first as a mathematician of exceptional ability. He was elected to the Académie des Sciences in 1769 at twenty-six, became its Permanent Secretary in 1777, was elected to the Académie française in 1782, and was the friend of Voltaire, d'Alembert, Turgot, Thomas Jefferson, Leonhard Euler, and Benjamin Franklin — the last of the great philosophes and the only one to participate actively in the Revolution.

He voted against the execution of Louis XVI. He was the principal author of the Girondin constitutional draft of 1793. When the Jacobins replaced it with their own constitution and branded him a traitor, a warrant was issued for his arrest on 3 October 1793. He spent five months hidden in the Paris house of Madame Vernet — a woman he had never met before, who sheltered him at enormous personal risk — and in those months wrote the work by which he is primarily remembered: the "Esquisse d'un tableau historique des progrès de l'esprit humain" ("Sketch for a Historical Picture of the Progress of the Human Mind"). In March 1794, convinced his hiding place was watched, he fled, hid in ditches and thickets for three days, entered an inn at Clamart and ordered an omelet — was arrested, it is said, because only an aristocrat ordered a dozen eggs — was imprisoned at Bourg-la-Reine, and was found dead in his cell on 29 March 1794. Whether by exhaustion, poison, or murder remains unknown. He was fifty years old. In 1989 he was symbolically reinterred in the Panthéon — symbolically because his remains had disappeared from his coffin at some point in the nineteenth century.

His central concern, pursued from mathematics through philosophy to revolutionary politics: that reason, applied rigorously to human affairs — through education, through constitutional design, through social science — could progressively eliminate the ignorance and prejudice that were the sources of all human suffering, and that this progress was not merely possible but inevitable.

Mathematics as the Foundation — Social Arithmetic

Condorcet's career began in mathematics — specifically in integral calculus and probability theory — and he never abandoned the conviction that the quantitative methods of mathematics could be extended to the study of human behavior and social organization. He called this project "social arithmetic" — the application of probability and statistical reasoning to questions of collective decision-making, institutional design, and social policy. He applied mathematical reasoning to fiscal crises, the reform of hospital care, jury decision-making, and voting procedures, always with the same underlying conviction: that human affairs, which had been governed by tradition, superstition, and arbitrary power, could be made rational, predictable, and improvable if properly analyzed by the methods of science.

His 1785 "Essay on the Application of Analysis to the Probability of Majority Decisions" was the most technically ambitious expression of this program — and it contained two results that remain fundamental to political science: the Condorcet jury theorem and the Condorcet paradox.

"He was one of the first to systematically apply mathematics to the social sciences. He advocated for the social utility of statistics and probability theory, applying mathematical calculations to fiscal crises, hospital care reform, jury decision-making and voting procedures."

The Condorcet Paradox and the Jury Theorem — Mathematics of Democracy

The Condorcet jury theorem stated that if each member of a voting group was more likely than not to reach the correct decision individually, the probability that the group's majority verdict was correct increased as the group grew larger — providing a mathematical justification for democratic decision-making that did not rest on sentiment or tradition but on the logic of probability. Larger informed electorates made better collective decisions than smaller ones.

The Condorcet paradox revealed a structural problem with majority voting that has no easy solution: majority preferences could be cyclically intransitive. With three or more options, an electorate could simultaneously prefer A over B, B over C, and C over A — without any logical inconsistency in individual preferences — simply by aggregating consistent individual rankings. No single option was the majority's first choice against all others. The paradox showed that majority voting could produce irrational collective outcomes even from perfectly rational individual voters — and it inaugurated the field now known as social choice theory, developed in the twentieth century by Kenneth Arrow and Amartya Sen.

"Condorcet's paradox shows that majority preferences can become intransitive with three or more options — it is possible for an electorate to prefer A over B, B over C, and C over A, all from the same set of ballots. This result inaugurated modern social choice theory."

Women's Rights — The Most Radical Enlightenment Position

Condorcet's 1790 essay "On the Admission of Women to the Rights of Citizenship" was among the most radical positions taken by any Enlightenment thinker on gender — going further than Mary Wollstonecraft in demanding not just equal education but full political rights, including the right to vote. His argument was characteristically mathematical in its structure: rights derived from the capacity for rational and moral thought. Women possessed this capacity. Therefore women possessed the same rights as men. If you denied women's rights while claiming to found rights on reason, you were contradicting yourself. "Either no member of the human race has any true rights, or else they all have the same ones; and anyone who votes against the rights of another, whatever his religion, colour or sex, automatically forfeits his own."

He also advocated women's right to plan their pregnancies, access to birth control, criminalization of rape, and legal obligations for fathers of illegitimate children. Women did not get the vote during the Revolution — and many of the gains made were withdrawn under Napoleon. Condorcet had translated his philosophical position into his constitutional draft only partially, constrained by political realities he acknowledged but refused to endorse as permanent.

"The rights of men stem exclusively from the fact that they are sentient beings, capable of acquiring moral ideas and of reasoning upon them. Since women have the same qualities, they necessarily also have the same rights. Either no member of the human race has any true rights, or else they all have the same ones."

— Condorcet

The Sketch — Written in Hiding, Against the Terror

The "Sketch for a Historical Picture of the Progress of the Human Mind" (1795) — written while Condorcet was a fugitive from the Revolution he had supported, in a house not his own, under warrant of arrest by the government whose constitution he had helped draft — is one of the most extraordinary documents in the history of ideas. It narrates the history of civilization in nine epochs, from the formation of tribes to the present age, each epoch marked by advances in knowledge, rights, and human organization. Each was flawed, limited by the ignorance of its era — but each built on what preceded it, leaving the next epoch with a higher starting point.

The tenth epoch — still in the future — was the most original part of the work: Condorcet's vision of what a fully enlightened civilization would look like. It rested on three pillars: the elimination of inequality between nations (no more colonial domination); the elimination of inequality between classes within nations (no more hereditary privilege); and the perfectibility of human nature itself, intellectually, morally, and physically — including the indefinite extension of human life through medical progress. The Sketch was the most systematic and the most optimistic formulation of the Idea of Progress ever written. It was also written by a man who had every reason to disbelieve it — who was watching the Revolution devour the ideals in whose name it had been made — and who wrote it anyway.

"Its fundamental idea is that of the continuous progress of the human race to an ultimate perfection. It represents humans as starting from the lowest stage of savagery and advancing uninterruptedly in the path of enlightenment, virtue, and happiness. The most original part is devoted to the tenth epoch — still in the future — in which the perfect human will live in a perfect civilization."

— Britannica

Abolition, Education, and Free Thought

The range of Condorcet's specific political commitments was extraordinary even among Enlightenment radicals. His 1781 "Reflections on Negro Slavery" denounced slavery on the same rational-rights grounds he applied to women: capacity for reason and moral feeling implied equal rights, and skin color was irrelevant to that capacity. He was a member — later president — of the Society of the Friends of the Blacks, the French abolitionist organization. He advocated universal free public education organized to be independent of government and clerical control — a network of enlightened experts who would serve as the permanent guardians of rational knowledge against the pressures of faction and superstition. He supported a liberal economy and opposed tariffs and monopolies. He was an early advocate of social insurance and welfare provisions. He opposed the death penalty consistently — including in the trial of Louis XVI, where he voted against execution.

"Condorcet, wholly a man of the Enlightenment, sought to extend the empire of reason to social affairs. He advocated economic freedom, religious toleration, legal and educational reform, the abolition of slavery, and — unusually for his time — equal rights for women, including woman suffrage."

— Britannica

Legacy — The Patron Saint of Progress

Condorcet's immediate influence was enormous and then contested. Thomas Malthus wrote his "Essay on the Principle of Population" (1798) partly as a direct rebuttal of the Sketch — arguing that population growth would always outpace food production, making Condorcet's vision of indefinite human improvement impossible. The exchange between Condorcet's optimism and Malthus's pessimism has defined debates about human progress ever since. Social choice theory — Arrow's impossibility theorem, Sen's work on collective welfare — developed the technical implications of Condorcet's mathematical discoveries. The liberal tradition of using rational argument to extend rights progressively — to workers, to women, to colonial peoples, to sexual minorities — follows the logic Condorcet first articulated with full systematic rigor.

"He firmly believed that the spirit and reason of humans would prevail, that the perfectibility of humans and society was inevitable. He believed in the unity of all knowledge and in the continuity of progress. He thought that this was the consummate lesson of human history."

— Written of Condorcet while he was hiding from the Revolution he had supported