[Q]: Extract the answer to the question from the following context. Question: What number of counterexamples at the level of experimental testing can prove a scientific theory false? Context: Logically, no number of positive outcomes at the level of experimental testing can confirm a scientific theory, but a single counterexample is logically decisive: it shows the theory, from which the implication is derived, to be false. To say that a given statement (e.g., the statement of a law of some scientific theory) -- [call it "T"] -- is "falsifiable" does not mean that "T" is false. Rather, it means that, if "T" is false, then (in principle), "T" could be shown to be false, by observation or by experiment. Popper's account of the logical asymmetry between verification and falsifiability lies at the heart of his philosophy of science. It also inspired him to take falsifiability as his criterion of demarcation between what is, and is not, genuinely scientific: a theory should be considered scientific if, and only if, it is falsifiable. This led him to attack the claims of both psychoanalysis and contemporary Marxism to scientific status, on the basis that their theories are not falsifiable.
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[A]: a single counterexample
input: Please answer the following: Extract the answer to the question from the following context. Question: How much was Manhattan thought to have cost, allegedly? Context: A permanent European presence in New Netherland began in 1624 making New York the 12th oldest continuously occupied European-established settlement in the continental United States with the founding of a Dutch fur trading settlement on Governors Island. In 1625, construction was started on a citadel and a Fort Amsterdam on Manhattan Island, later called New Amsterdam (Nieuw Amsterdam). The colony of New Amsterdam was centered at the site which would eventually become Lower Manhattan. The Dutch colonial Director-General Peter Minuit purchased the island of Manhattan from the Canarsie, a small band of the Lenape, in 1626 for a value of 60 guilders (about $1000 in 2006); a disproved legend says that Manhattan was purchased for $24 worth of glass beads.
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output: $24 worth of glass beads
Please answer this: Extract the answer to the question from the following context. Question: what group is mentioned first? Context: The Royal Navy is constructing two new larger STOVL aircraft carriers, the Queen Elizabeth class, to replace the three now retired Invincible-class carriers. The ships are HMS Queen Elizabeth and HMS Prince of Wales. They will be able to operate up to 40 aircraft on peace time operations with a tailored group of up to 50, and will have a displacement of 70,600 tonnes. HMS Queen Elizabeth is projected to commission in 2017 followed by Prince of Wales in about 2020. The ships are due to become operational starting in 2020. Their primary aircraft complement will be made up of F-35B Lightning IIs, and their ship's company will number around 680 with the total complement rising to about 1600 when the air group is embarked. The two ships will be the largest warships ever built for the Royal Navy.
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Answer: The Royal Navy
Problem: Extract the answer to the question from the following context. Question: What issue led to the horns getting wraped with tape? Context: Delicate sounds and fine overtones were mostly lost, because it took a lot of sound energy to vibrate the recording horn diaphragm and cutting mechanism. There were acoustic limitations due to mechanical resonances in both the recording and playback system. Some pictures of acoustic recording sessions show horns wrapped with tape to help mute these resonances. Even an acoustic recording played back electrically on modern equipment sounds like it was recorded through a horn, notwithstanding a reduction in distortion because of the modern playback. Toward the end of the acoustic era, there were many fine examples of recordings made with horns.

A: mechanical resonances
Problem: Given the question: Extract the answer to the question from the following context. Question: Which two parties were involved in the settlement in 1698? Context: In 1695, the Scottish Parliament granted a charter to the Company of Scotland, which established a settlement in 1698 on the isthmus of Panama. Besieged by neighbouring Spanish colonists of New Granada, and afflicted by malaria, the colony was abandoned two years later. The Darien scheme was a financial disaster for Scotlanda quarter of Scottish capital was lost in the enterpriseand ended Scottish hopes of establishing its own overseas empire. The episode also had major political consequences, persuading the governments of both England and Scotland of the merits of a union of countries, rather than just crowns. This occurred in 1707 with the Treaty of Union, establishing the Kingdom of Great Britain.
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The answer is:
the Scottish Parliament granted a charter to the Company of Scotland, which established a settlement in 1698
Problem: Extract the answer to the question from the following context. Question: stepper motors is a feature used? Context: Stepper motors were and still are often used in computer printers, optical scanners, and digital photocopiers to move the optical scanning element, the print head carriage (of dot matrix and inkjet printers), and the platen or feed rollers. Likewise, many computer plotters (which since the early 1990s have been replaced with large-format inkjet and laser printers) used rotary stepper motors for pen and platen movement; the typical alternatives here were either linear stepper motors or servomotors with closed-loop analog control systems.

A:
to move the optical scanning element, the print head carriage (of dot matrix and inkjet printers), and the platen or feed rollers