Objective reality

That biggest possible circle wouldn't allow us to measure pi at all since the circumference/diameter of a circle only equals pi in a flat (Euclidian) space, which our universe isn't on a large scale. For example, on the surface of a sphere the largest possible circle has a C/D = 2. Thus, C/D = pi is a very contingent result, i. e., is true of certain realities and not of others.On the other hand, even if we had never stumbled on the fact that C/D = pi in the locally flat part of the universe we live in we would have still discovered pi, and been able to calculate it to arbitrary precision in other contexts. For example:1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ......... = pi/4.This is true anywhere in our universe and anywhere in any universe. The precision with which we can calculate (or measure) something has absolutely nothing to do with its ability to be subjected to scientific investigation. Or am I misunderstanding you.

But what if space and time are actually discrete, which they almost certainly are. Then all measurements, if done properly, would yield integer results similar to the way that a mass of real stuff can be stated as an approximate real number denoting weight or a precise integer denoting the precise number of molecules of the stuff.