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.
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Question: This philosopher argued for a hybrid approach of historical materialism and psychoanalysis that he termed the "progressive-regressive method." He used the example of a man that fails to meet his friend after walking into a cafe to illustrate the second title concept of one of his works. This man densely analyzed the life of Gustave Flaubert in his book length study The Family Idiot. His short treatise (*) Search for a Method recapitulates themes of another of his books, which calls humanity a "fused group." This author of Critique of Dialectical Reason argued that the object of consciousness exists as "in-itself," but experience exists "for itself" in a book that argues the authentic life is one way to escape the grip of "bad faith." For 10 points, name this existentialist author of Being and Nothingness.

Answer: Social Science

Question: These quantities are the arguments of the logarithms in the von Mangoldt function, which is itself summed to yield the second Chebyshev function. Using the evenly-spaced integer topology, Furstenberg re-proved that there were aleph-null many of these values. The work of Goldston et al. employing the Elliott-Halberstam conjecture was a precursor to Zhang's proof of bounded gaps between them. Thanks to the AKS algorithm, it is polytime-decidable whether or not a number is one of these numbers. The distribution of these numbers is described by the law "pi of x is asymptotic to x over log x," where "pi of x" is the function that counts these numbers. They are typically generated by sieving, as originally done by Eratosthenes. For 10 points, what numbers are divisible only by one and themselves

Answer: Science

Question: Two of the four circles that can be drawn at any point on this shape are named for Villarceau. An integrable Hamiltonian system can only move on a surface with this shape according to the Kolmogorov-Arnold-Moser theorem. Like the Klein bottle, it has an Euler characteristic of zero. At most, seven colors are used be used to color a map of this shape, according to the Heawood conjecture. Its surface area equals four pi squared times the product of the inner and outer radii. It is topologically defined as the product of two circles. For 10 points, name this three-dimensional surface shaped like a doughnut.

Answer:
Science