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: 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.

SOLUTION: Science

PROBLEM: This figure was worshiped on the Island of Philae. In depictions, a throne symbol often lies atop this deity's head. This deity created a snake out of the earth and had it bite Ra so that Ra would give up his True Name. After a long search, this deity found a box hidden in a tamarisk tree. This goddess reassembled the fourteen (*) pieces of her husband and gave birth to Horus, in order that he would defeat Set. For 10 points, name this Egyptian goddess, the wife and sister of Osiris.

SOLUTION: Social Science

PROBLEM: Among the drugs used to treat this disease are the anti-bacterial TOBI and VX-770, currently in FDA Phase 2 testing. People with this disease also often suffer from "Clubbing", and the ductus deferens fails to develop in affected males. It is typically caused by a loss of a phenylalanine in its namesake transmembrane conductance regulator protein, leading to increased sodium absorption. This disease is linked with a gene on chromosome 7. Pilocarpine is applied to the skin in the sweat-chloride test for this disease. For 10 points, name this disease characterized by an abnormal buildup of mucus in the lungs.

SOLUTION:
Science