In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

[Q]: This entity shares its name with one controlled by the astronomer and investigator of mesmerism, Jean Sylvain Bailly. It saw the execution of General Lecomte, and Marshall MacMahon led a campaign against it that culminated with a mass execution at the Wall of the Federalists. Its aftermath saw a mass deportation to New Caledonia, and it was opposed by Adolphe Thiers. Louis-Auguste Blanqui was its nominal leader despite being imprisoned at the time, and it ended in the "Bloody Week" amidst fierce barricade fighting. Growing out of the Franco-Prussian War, for 10 points, name this socialist government that held power for two months in 1871 in the French capital.
[A]: History

[Q]: This quantity can be defined as minus the temperature times the derivative of entropy with respect to particle number. The Gibbs factor is a generalization of the Boltzmann factor that takes this quantity into account. Usually defined as the derivative of the Helmholtz free energy with respect to particle number, FTP name this quantity which governs particle flow, as particles flow from systems with higher values to systems with lower values.
[A]: Science

[Q]: A Roman statue that may depict this figure, a replica of a Lysippos bronze, portrays him hunched over while fastening his right sandal. In another sculpture of this figure, he points skywards with his right hand while he balances on his left foot, stepping on a column of air blown from Zephyr. That bronze is by Giambologna. A marble of this figure nude is missing his right arm, while a cloak is draped over his left arm which cradles the infant Dionysus in a work by Praxiteles. For 10 points, name this god often depicted with a winged hat, winged ankles and a staff with two snakes intertwined around it, the caduceus.
[A]:
Fine Arts