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Nested intervals

In mathematics, a sequence of nested intervals can be intuitively understood as an ordered collection of intervals I n {\displaystyle I_{n}} on the real number line with natural numbers n = 1 , 2 , 3 , … {\displaystyle n=1,2,3,\dots } as an index. In order for a sequence of intervals to be considered nested intervals, two conditions have to be met:

Historic motivation, The construction of the real numbers & Overview