The ''Dark Ages'' is a historical periodization traditionally referring to the Middle Ages, that asserts that a demographic, cultural, and economic deterioration occurred in Western Europe following the decline of the Roman Empire.

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is the dark ages the same as the middle ages?

A: yes

If a set of sets is infinite or contains an infinite element, then its union is infinite. The powerset of an infinite set is infinite. Any superset of an infinite set is infinite. If an infinite set is partitioned into finitely many subsets, then at least one of them must be infinite. Any set which can be mapped onto an infinite set is infinite. The Cartesian product of an infinite set and a nonempty set is infinite. The Cartesian product of an infinite number of sets each containing at least two elements is either empty or infinite; if the axiom of choice holds, then it is infinite.

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is the union of two infinite sets always an infinite set?

A: yes

The film rights for the novel were optioned by Brad Grey and Brad Pitt for Warner Brothers. In 2011 Steve Kloves was attached to write and direct the project, but as of 2018 it has not yet been produced.

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is there a movie for the curious incident of the dog in the night-time?

A: no

The Vice President of the United States is the ex officio President of the Senate, as provided in Article I, Section 3, Clause 4, of the United States Constitution, but may only vote in order to break a tie. According to the U.S. Senate, as of February 28, 2018, a tie-breaking vote had been cast 264 times by 36 vice presidents.

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has the vice president ever broken a tie in the senate?

A:
yes