This is a great video, not only because of delving into this:

Only by abandoning math’s connection to realty, could we discover reality’s true nature.

But, because it discusses some really intriguing history (e.g. math duels, with you job on the line) and how folks went about certain problems totally differently than we do today (e.g. using geometry to solve quadratic equations, versus symbols).

Way to go Geralamo Cardano!

P.S. BTW, the “job on the line” is why folks also hid their solutions…

Cross posted on my Nibbles Ninja blog.