## How to solve a Rubik's cube while juggling

Posted on: March 3rd, 2013 by
Cannot resist posting this video :-)

## Uncountability of real numbers - a simple proof

Posted on: March 2nd, 2013 by
In this article, I wish to show a simple elementary proof that there cannot exist any bijection between the set of real numbers $\mathcal{R}$ and the set of natural numbers $\mathcal{N}$. This proof is popularly known as Cantor's diagonal proof. Here's the proof. Firstly I claim that there exists a bijection from the unit interval $(0,1)$ to $\mathcal{R}$. Note that the unit interval   $(0,1)$ is the set of Continue reading the story "Uncountability of real numbers - a simple proof"