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]: This Vermont native's political positions included head of House and then Senate committees on territories, in which capacity he gave a speech telling opponents of expansion that "you cannot fetter the limbs of this young giant. " His support for expansion led him to favor repeal of the Missouri Compromise and he answered the Dred Scott decision by supporting popular sovereignty in what became known as the Freeport Doctrine. For 10 points, name this man who ran for president against John Bell, John C. Breckenridge and Abraham Lincoln, against the last of whom he had held a famous series of debates in Illinois.
[A]: History


[Q]: This rule holds if the operator algebra for some set of observables is non-trivial; that is true because it is derived via the Schwarz inequality applied to the expectation value of the commutator of two observables operators. It formally bounds the product of the dispersions in two observables. An adapted form of this law applies to energy and time; it applies directly to any two components of spin, but it is best known in its application to position and momentum, the product of the standard deviations of which is at least h-bar over two. FTP, name this principle from quantum mechanics that limits the precision of measurements.
[A]: Science


[Q]: One form of this, due to Lindeberg and Feller, applies to the difference of variates. While it does not hold for general stochastic processes, there is a version for martingales. The rate behind this relation is determined by the Berry-Essen theorem. It holds generally under the Lyapunov condition, but the conventional statement of it requires that the variance be finite and that the mean of the sampling distribution of means be the population mean. FTP, identify this theorem stating that the distribution of a sample of independent random variables approaches a normal distribution with sample size.
[A]:
Science