I found this very interesting. I looked at the part where it mentioned about the uppasala lectures on calculus. It mentions that in the first lecture it was proved that the sum of all the non negative powers of two equals $-1$ and even this equality was demonstrated in a practical way.
$2+4+8+16+32\cdots$ in no way seems to be summing up to $-1$. All are positive numbers, so the sum must be positive. Can I get an explanation for this?