Teacher: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.
Teacher: Now, understand the problem? Solve this instance: He's not Eudoxus, but he names a property stating that there exists a natural number greater than a given real number. This author of The Sand Reckoner created an odometer for use in the First Punic War. He used a form of infinite series to calculate the area enclosed by a parabola and line. He created a namesake screw to move water and stated that the weight of a fluid displaced by an object equals the buoyant force on that object. For 10 points, name this Greek thinker who apocryphally defended Syracuse with a death ray.
Student:
Social Science