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The real numbers are the rationals as well as limits of sequences of rationals. . . . . . .
Cauchy sequence . . . . . .
Dedikind cut . . . . . .
Completeness property . . . . . .
Wikipedia: Real number
Mathworld: Real Number
Fact archive: Real number
The real numbers have the "completeness property"
The webmaster and author of this Math Help site is Graeme McRae.