Eventually the cheese would begin to form a singularity and the grater would exist on the boundary, slowing their own perception of time with each subsequent grate.
All information is empirical, but all decisions are not. Life clearly requires approximation, and this is such a simple idea which a ton of really smart people fail to grasp.
More Parmesan? - Existential Comics (existentialcomics.com)
Original: existentialcomics.com/comic/526