Algebraic numbers are countable

Transcendental numbers are uncountable, algebraic numbers are countable. There are two kinds of real numbers: The algebraic numbers (like 1, 3/4, sqrt(2)) and the transcendental numbers (like pi or e). In this video, I show that the algebraic numbers are countable, which means that there are so many transcendental numbers that if you choose a real number at random, the probability that it's transcendental is 1!!! This is so suprising, because we're much more used to dealing with algebraic numbers! Note: My apologies for not making my usual outro at the end, my phone ran out of battery, but luckily it caught most of the video! Fundamental theorem of algebra-video:    • Fundamental Theorem of Algebra   R is uncountable:    • R is uncountable   e is transcendental:    • e is transcendental   pi is transcendental:    • Pi is transcendental