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A number which is not an algebraic number is called transcendental. Transcendental numbers are a strict subset of the irrational numbers. Although "almost all" real numbers are transcendental it is difficult to prove that a given number that occurs naturally is transcendental. The usual weapon of choice is the Gelfond-Schneider Theorem. The size of the set of transcendental numbers is the size of the continuum c. (See Uncountable sets). Some numbers shown to be transcendental are EQN:e , EQN:\pi , sin(1) , log(2) and EQN:e^\pi Whether EQN:2^e , EQN:2^\pi or EQN:\pi^e are transcendental or not has still to be decided.