I don't know if this will make sense, but:

If $\pi$ is infinite and contains all strings of numbers including those of infinite length, then it must contain $\sqrt2$, and if $\sqrt2$ is infinite and contains all strings of numbers including those of infinite length then $\sqrt2$ contains $\pi$. This means that there is $\pi$ inside of $\pi$, and therefore it's recursive. 

I probably went wrong somewhere (I am a secondary school student) and I don't know everything about these numbers. I am assuming that $\pi$ is infinite and contains all strings although I know this has been called into question. So can anyone help me out, because this just seems wrong yet the sum of all natural numbers is $-1/12$ so, anything is possible.