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.

[Q]: The category of these objects has the property that every morphism is a monomorphism. The spectrum of one of these objects contains one point, and the p-adic numbers for a given p form one of these. These objects necessarily have zero Krull dimension. Those with a finite number of elements have order equal to a power of a prime. Their extensions have a one-to-one correspondence with their intermediates according to the fundamental theorem of Galois theory. A division algebra is one of these without multiplicative commutativity, and can be defined as a ring with multiplicative identity, inverse, and commutativity. For 10 points, name these algebriac structures that include the rationals and reals.
[A]: Science


[Q]: One of his works argues that rationality is the core of all reality, and states that there is no reality besides that which is shaped by the mind; a condensed version of this work can be found in his Encyclopedia of the Philosophical Sciences. One of his works divides the title concept into abstract, moral and ethical spheres, and posits the idea that free will can only be realized in systems of property rights and contracts. In addition to the aforementioned Science of Logic, another work relies on the thesis-antithesis-synthesis method, and includes discussions of Absolute Knowing and the master-slave dialectic. FTP, name this German philosopher and author of The Philosophy of Right and Phenomenology of Mind.
[A]: Social Science


[Q]: Benjamin Butler represented some of the men convicted after this event, all of whom were later pardoned by John Peter Altgeld. Immediately preceded by a fight at the McCormick Harvesting Machine Co. at which four were killed by police, this event is commemorated by bonfires at some May Day celebrations. For ten points, name this tragedy that helped lead to the downfall of the Knights of Labor; a May 4th, 1886 riot touched off when someone detonated a bomb at a labor rally in Chicago.
[A]:
History