TASK DEFINITION: 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.
PROBLEM: One party in this conflict was led for part of it by the namesake of a battleship famous in a later conflict, the Duke of Caxias. This clash was precipitated by the ouster of Atansio Aguirre. Victory at Curupayty forestalled defeat for the eventual losers, whose fate was practically sealed after the naval Battle of Riachuelo. This war's namesake treaty was the brainchild of Bartolom Mitre, who favored the Colorado Party over the Blanco Party in Uruguay. FTP, name this conflict in which Paraguay under Francisco Solano Lpez was eventually defeated by the namesake entity, consisting of Argentina, Brazil, and Uruguay.

SOLUTION: History

PROBLEM: He gave the example of a chicken which comes to expect a never-ending source of food as it is fattened up only to one day then be slaughtered in a work which refuted inductive reasoning as a source of absolute certainty. In another of his works, he regards one of the titular activities as a Catholic practice designed to prevent incest, leading to his expulsion from a teaching post. In addition to The Problem of Philosophy and Marriage and Morals, he wrote The Scientific Outlook and delivered the Mans Peril broadcast on BBC. Jean-Paul Sartre attended his tribunal, where he exposed American atrocities in Vietnam, years after his winning the Nobel prize in 1950 for literature. His most famous work developed the theory of types in mathematical logic. For ten points, name this philosopher who wrote Principia Mathematica along with Alfred North Whitehead.

SOLUTION: Social Science

PROBLEM: A museum branch located in this city's Fort Tryon Park containing medieval art is known as The Cloisters. One of its straits, which includes Roosevelt Island and Rikers Island, is the East River. Some of its neighborhoods are Bensonhurst and Flatbush, and its Turtle Bay neighborhood includes the headquarters of the (*) United Nations. For 10 points, name this city whose boroughs include Queens, Staten Island, and Manhattan.

SOLUTION:
Social Science