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Line 71: #Exactly three students ran. #Exactly three students ran fast. The first sentence ~~doesn't~~does not entail the second. The fact that the number of students that ran is exactly three ~~doesn't~~does not entail that each of these students ''ran fast'', so the number of students that did that can be smaller than 3. Conversely, the second sentence ~~doesn't~~does not entail the first. The sentence ''exactly three students ran fast'' can be true, even though the number of students who merely ran (i.e. not so fast) is greater than 3. The lambda term for the (complex) [[determiner (linguistics)\|determiner]] ''exactly three'' is the following. It says that the [[cardinality]] of the [[Intersection (set theory)\|intersection]] between the two sets equals 3.

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