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:
Lindstrom's theorem states that first-order logic is the strongest logic having both this property and satisfying the Lowenheim-Skolem property. A method for finding a Hausdorff space with this property containing a given space is named for Stone and Cech. Equicontinuity is the main condition for determining whether a family of functions has this property by the Arzela-Ascoli theorem. Using the axiom of choice, it can be shown that an arbitrary product of spaces with this property has this property, a result known as Tychonoff's theorem. In Euclidean space, being closed and bounded is sufficient to show, according to the Heine-Borel theorem, that a set has this property. For 10 points, identify this property which holds of a set on which every open cover has a finite subcover.
answer:
Science


question:
Martin and Primavesi recently discovered a fragment of this thinkers treatise On Nature. This man wrote the poem Katharmoi, but Aristotle excluded this mans works from the Poetics because while it was written in hexameter, it does not characterize its subject matter as a representation of life. OBrien, Wright, and Aristotle all claimed that this man adhered to a cyclical view of the universe, and this thinker also argued that human limbs once lived on their own. He wrote an autobiography known as the Purifications, in which he said that he was a vegetarian because animals contain transmigrated human souls. This man believed that all matter was once a sphere, which dissolved into the present world. He argued that neikos and philia drove the world, with strife separating substances and love bringing them together. This Sicilian is said to have died by throwing himself into Mt. Etna. For ten points, name this pre-Socratic philosopher who argued that the world was divided into four elements: water, earth, wind, and fire.
answer:
Social Science


question:
This functional group can be oxidized by peroxycarboxylic acids to form oxiranes, or epoxides. The addition of cold, dilute, aqueous potassium permanganate also oxidizes them, to produce 1,2 diols, while hot, basic potassium permanganate causes cleavage to two molar equivalents of carboxylic acids. Under acidic conditions, adding water to them yields an alcohol, whereas alcohols or alkyl halides can undergo elimination reactions to form them. FTP, identify this hydrocarbon, also known as an olefin, which is characterized by a carbon-carbon double bond.
answer:

Science