I agree. Also, our planet is limited. Thinking that we can increase production infinitely ( good economist point of view), is just physically impossible
With 10^27 g of Earth (without utilizing extra-planetary resources) each of which can be broken down into around 10^23 mol/g of stuff (without significantly altering the material composition) your infinite string of numbers will only be about 50 digits long.
Seems physically possible to me.