the set of all real transcendental numbers is uncountable
Proof. Denote and be the set of real transcendental and real algebraic numbers respectively. Suppose is countable. Then the union is also countable, since is also countable, which is a contradiction. Therefore must be uncountable.
|Title||the set of all real transcendental numbers is uncountable|
|Date of creation||2013-03-22 16:08:05|
|Last modified on||2013-03-22 16:08:05|
|Last modified by||gilbert_51126 (14238)|