https://www.cantorsparadise.com/uncomputable-numbers-ee528830d295 Sign in Cantor's Paradise * Latest * Most Popular * Archive * About * Write for Cantor's Paradise * Newsletter The Turing Essays Uncomputable Numbers Real numbers we can never know the value of Jorgen Veisdal Jorgen Veisdal Follow Jul 11, 2019 * 15 min read 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. To keep reading this story, get the free app or log in. Read the rest of this story with a free account. You'll also discover more fresh thinking personalized to your interests and can follow your favorite authors, publications, and topics. Open in app Or, continue in mobile web Already have an account? Sign in Learn more. Medium is an open platform where 170 million readers come to find insightful and dynamic thinking. Here, expert and undiscovered voices alike dive into the heart of any topic and bring new ideas to the surface. Learn more Make Medium yours. Follow the writers, publications, and topics that matter to you, and you'll see them on your homepage and in your inbox. Explore Share your thinking. If you have a story to tell, knowledge to share, or a perspective to offer -- welcome home. It's easy and free to post your thinking on any topic. Write on Medium About Help Legal Get the Medium app A button that says 'Download on the App Store', and if clicked it will lead you to the iOS App store A button that says 'Get it on, Google Play', and if clicked it will lead you to the Google Play store