instruction:
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.
question:
The lemma named for this person states that if a prime number divides a product, then it divides a   factor of that product. Janos Bolyai and Nikolai Lobachevsky developed a system that was notable  for not following all of this person's rules. A so-called orchard is named for this person because of   his algorithm for finding greatest common divisors. A book he wrote states that if a line segment  intersects two lines, then the lines meet on the side of the segment where the interior angle sum is  less than two right angles, the last of his five postulates. Name this mathematician whose Elements  was a standard text of geometry.
answer:
Science


question:
author claimed that there is no right to hold a bird of prey accountable for being a bird of prey. Ernst Haeckel latched onto this philosopher's idea of the "world riddle. " A renowned translator and interpreter of this philosopher's works was Walter Kaufman. This thinker chastised his prior love of Wagner in an "attempt at self-criticism" appended to a work in which he contrasted the Dionysian and Apollonian aspects of the title art form. He described the "blond beast" in his treatment of ethics, On the Genealogy of Morals. For 10 points, name this philosopher who proclaimed "God is Dead" in The Gay Science and wrote The Birth of Tragedy.
answer:
Social Science


question:
In one of the treaties which ended this war, one side ceded Bremen to Hanover and much of Pomerania\n to Prussia. One side's navy accomplished its first ever naval victory at the Battle of Gangut. The Ottomans\n temporarily entered this war but withdrew after their victory in the Pruth River Campaign. Poland's\n Augustus the Strong was forced to abdicate after bowing out of this war with the Treaty of Altranstadt. One\n side in this conflict was led by Charles XII, who defeated the Danes and won at Narva before losing at\n Poltava and dying in 1718. For 10 points, name this war between Sweden and a coalition led by Russia's\n Peter the Great.
answer:

History