No, my son, David, didn’t really balance those when he was three.

But he did google up vsauce videos. On his own. Why?

To find out why not all infinities were the same, of course!

For several days, he would watch and rewatch these videos stopping and backing them up a little to make sure he understood well what he saw.

So, it’s possible to do the impossible even faster than thought possible!

Did you ever need to solve an algebraically impossible formula?

Easy. Program a computer to guess for a few hours, and get a really inaccurate guess that may be close enough. That’s common, but there’s a better way!