Pierre-Joseph Proudhon in the context of "International Workingmen's Association"

Mikhail Alexandrovich Bakunin (30 May [O.S. 18 May] 1814 – 1 July 1876) was a Russian revolutionary anarchist. He is among the most influential figures of anarchism and a major figure in the revolutionary socialist, social anarchist, and collectivist anarchist traditions. Bakunin's prestige as a revolutionary also made him one of the most famous ideologues in Europe, gaining substantial influence among radicals throughout Russia and Europe.

Bakunin grew up in Pryamukhino, a family estate in Tver Governorate. From 1840, he studied in Moscow, then in Berlin, hoping to enter academia. Later in Paris, he met Karl Marx and Pierre-Joseph Proudhon, who deeply influenced him. Bakunin's increasing radicalism ended hopes of a professorial career. He was expelled from France for opposing the Russian Empire's occupation of Poland. After participating in the 1848 Prague and 1849 Dresden uprisings, Bakunin was imprisoned, tried, sentenced to death, and extradited multiple times. Finally, exiled to Siberia in 1857, he escaped via Japan to the United States and then to London, where he worked with Alexander Herzen on the journal Kolokol (The Bell). In 1863, Bakunin left to join the insurrection in Poland, but he failed to reach it and instead spent time in Switzerland and Italy.

The Paris Commune (French: Commune de Paris, pronounced [kɔ.myn də pa.ʁi]) was a French revolutionary government that seized power in Paris on 18 March 1871 and controlled parts of the city until 28 May 1871. During the Franco-Prussian War of 1870–71, the French National Guard had defended Paris, and working class radicalism grew among its soldiers. Following the establishment of the French Third Republic in September 1870 (under French chief-executive Adolphe Thiers from February 1871) and the complete defeat of the French Army by the Germans by March 1871, soldiers of the National Guard seized control of the city on 18 March. The Communards killed two French Army generals and refused to accept the authority of the Third Republic; instead, the radicals set about establishing their own independent government.

The Commune governed Paris for two months, promoting policies that tended toward a progressive, anti-religious system, which was an eclectic mix of many 19th-century schools of thought. These policies included the separation of church and state, self-policing, the remission of rent, the abolition of child labor, and the right of employees to take over an enterprise deserted by its owner. The Commune closed all Catholic churches and schools in Paris. Feminist, communist, old-style social democracy (a mix of reformism and revolutionism), and anarchist/Proudhonist currents, among other socialist types, played important roles in the Commune.

Anarchism in Ukraine has its roots in the democratic and egalitarian organization of the Zaporozhian Cossacks, who inhabited the region up until the 18th century. Philosophical anarchism first emerged from the radical movement during the Ukrainian national revival, finding a literary expression in the works of Mykhailo Drahomanov, who was himself inspired by the libertarian socialism of Pierre-Joseph Proudhon. The spread of populist ideas by the Narodniks also lay the groundwork for the adoption of anarchism by Ukraine's working classes, gaining notable circulation in the Jewish communities of the Pale of Settlement.

By the outbreak of the 1905 Revolution, a specifically anarchist movement had risen to prominence in Ukraine. The ideas of anarcho-communism, anarcho-syndicalism and individualist anarchism all took root in Ukrainian revolutionary circles, with syndicalism itself developing a notably strong hold in Odesa, while acts of anarchist terrorism by cells such as the Black Banner became more commonplace. After the revolution was suppressed, Ukrainian anarchism began to reorganize itself, culminating in the outburst following the February Revolution, when Nestor Makhno returned to the country and began to organize among the peasantry.

The law of the value of commodities (German: Wertgesetz der Waren), known simply as the law of value, is a central concept in Karl Marx's critique of political economy first expounded in his polemic The Poverty of Philosophy (1847) against Pierre-Joseph Proudhon with reference to David Ricardo's economics. Most generally, it refers to a regulative principle of the economic exchange of the products of human work, namely that the relative exchange-values of those products in trade, usually expressed by money-prices, are proportional to the average amounts of human labor-time which are currently socially necessary to produce them (see Socially necessary labour time) within the capitalist mode of production.

Thus, the fluctuating exchange value of commodities (exchangeable products) is regulated by their value, where the magnitude of their value is determined by the average quantity of human labour which is currently socially necessary to produce them (see labor theory of value and value-form). Theorizing this concept and its implications preoccupied Marx for more than two decades.

Mutualism is an anarchist school of thought and economic theory that advocates for workers' control of the means of production, a free market made up of individual artisans, sole proprietorships and workers' cooperatives, and occupation and use property rights. As proponents of the labour theory of value and labour theory of property, mutualists oppose all forms of economic rent, profit and non-nominal interest, which they see as relying on the exploitation of labour. Mutualists seek to construct an economy without capital accumulation or concentration of land ownership. They also encourage the establishment of workers' self-management, which they propose could be supported through the issuance of mutual credit by mutual banks, with the aim of creating a federal society.

Mutualism has its roots in the utopian socialism of Robert Owen and Charles Fourier. It first developed a practical expression in Josiah Warren's community experiments in the United States, which he established according to the principles of equitable commerce based on a system of labor notes. Mutualism was first formulated into a comprehensive economic theory by the French anarchist Pierre-Joseph Proudhon, who proposed the abolition of unequal exchange and the establishment of a new economic system based on reciprocity. In order to establish such a system, he proposed the creation of a "People's Bank" that could issue mutual credit to workers and eventually replace the state; although his own attempts to establish such a system were foiled by the 1851 French coup d'état.

Anarchism in France can trace its roots to thinker Pierre-Joseph Proudhon, who grew up during the Restoration and was the first self-described anarchist. French anarchists fought in the Spanish Civil War as volunteers in the International Brigades. According to journalist Brian Doherty, "The number of people who subscribed to the anarchist movement's many publications was in the tens of thousands in France alone."

Individualist anarchism in the United States was strongly influenced by Benjamin Tucker, Josiah Warren, Ralph Waldo Emerson, Lysander Spooner, Pierre-Joseph Proudhon, Max Stirner, Herbert Spencer and Henry David Thoreau. Other important individualist anarchists in the United States were Stephen Pearl Andrews, William Batchelder Greene, Ezra Heywood, M. E. Lazarus, John Beverley Robinson, James L. Walker, Joseph Labadie, Steven Byington and Laurance Labadie.

The first American anarchist publication was The Peaceful Revolutionist, edited by Warren, whose earliest experiments and writings predate Proudhon. According to historian James J. Martin, the individualist anarchists were socialists, whose support for the labor theory of value made their libertarian socialist form of mutualism a free-market socialist alternative to both capitalism and Marxism.

Benjamin Ricketson Tucker (/ˈtʌkər/; April 17, 1854 – June 22, 1939) was an American individualist anarchist and self-identified socialist. Tucker was the editor and publisher of the American individualist anarchist periodical Liberty (1881–1908). Tucker described his form of anarchism as "consistent Manchesterism" and "unterrified Jeffersonianism".

Tucker looked upon anarchism as a part of the broader socialist movement. Tucker harshly opposed state socialism and was a supporter of free-market socialism and libertarian socialism which he termed anarchist or anarchistic socialism. He connected the classical economics of Adam Smith and the Ricardian socialists as well as that of Josiah Warren, Karl Marx and Pierre-Joseph Proudhon to socialism. Some modern commentators have described Tucker as an anarcho-capitalist, although this has been disputed by others. During his lifetime, Tucker opposed capitalism and considered himself a socialist due to his belief in the labor theory of value and disputed many of the dictionary definitions of the term which he believed were inaccurate.