Doing Mathematics Differently

The article I share here deals with the conceptual complexity and complexity of ideas. It discusses incompleteness theorem and the limitation of the pure thought. How can we formulate this complexity of ideas in terms of mathematical language? Can we even do that? Will a length of an equation determines its complexity? But then again notation changes and with that the form of the equations.
I found this essay involving meta-mathematics, written by Gregory Chaitin, to be interesting and hence, share it here.
The featured image is made from http://cmx.io project. This project allows one to draw XKCD/stick style comics using HTML. It may be time consuming but fun to make. The HTML code for the above figure can be found here.