Proving The Existence of Transcendental Numbers

… and How To Compare the Infinite?

Here’s a cute way to prove the existence of Transcendental numbers. It requires *only* a keenness for mathematics, and is combined with a quick guide to the infinite and Cantor’s Diagonalisation argument! We’ll also see that there are ‘more’ transcendental numbers than non-transcendental .

Below: Cantor’s Diagonalisation Argument in base 2. More on this later!