# What does " nested intervals" mean in this sentence ?

Set theory was born on that day in December 1873 when Georg Cantor

(1845–1918) established that the continuum is not countable—there is no

one-to-one correspondence between the real numbers and the natural numbers 0, 1, 2,.... Given a (countable) sequence of reals, Cantor defined nested

intervals so that any real in their intersection will not be in the sequence

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- DixonLv 71 month ago
Nested means one inside another, inside another etc. like Russian dolls.

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