Imagine an open-source web app with:
In most of our daily lives, numbers are tame. They count apples, measure distances, or track bank balances. Even a "big number" like a trillion is merely a fly on the wall of the mathematical universe.
[ f_\omega(3) = f_3(3) ] where ( f_3(3) ) is already enormous (much larger than ( 2 \uparrow\uparrow 3 )).