This set of numbers has the least cardinality greater than that of the integers, according to the continuum hypothesis, and is the union of the algebraic and transcendental nu
This set of numbers has the least cardinality greater than that of the integers, according to the continuum hypothesis, and is the union of the algebraic and transcendental numbers. This complete totally ordered field can be constructed by Cauchy sequences, and this set is (*) uncountable according to Cantor's diagonal argument. The union of the rationals and irrationals, for 10 points, name this set of numbers denoted R.
This set of numbers has the least cardinality greater than that of the integers, according to the continuum hypothesis, and is the union of the algebraic and transcendental numbers.