## The Turing Essays

# Uncomputable Numbers

## Real numbers we can never know the value of

We all remember learning that the decimals of pi are infinite in number, 3.14159265359… Some of us even recall learning that you can approximate upper and lower bounds on the value of pi to as high of a degree as you want by measuring the sides of polygons. As the number of sides of the polygons approach infinity and the length of their sides approach zero, your approximation gets closer.