What you posted isn’t a refutation of what I’m claiming, period. You’re confusing ONE definition of function with the general term FUNCTION (to exist, to calculate, to recurse), I’m using it in the 2nd sense.
You just are not getting it. In order for you to caclulate in the real world you need time, energy to flow, and mass or enregy to make the DISTINCT OBJECTS, each distinct number, and its vectors, out of, you can’t create numbers without
- a vector space location to put the number
- stuff to make the number out of (atoms, energy, whatever)
- Time to calculate and create and position the next number.
- And a vector location and a vector space for the number to be bounded in so that it is distinct from all other numbers and positions
I’m not saying we need “time to count digits”, I’m saying you need TIME TO CREATE THEM, an infinite series, each digit is being created and calculated
Pi is calculation and all calculations can only take place in time, if we froze time, you being a time bound being, you could no longer create the next number in the sequence, so the sequence gets frozen in the frame.
Time changes values, lastly you are just incapable of comprehending what I’m saying because you’re still under the false assumption that numbers are made of non-existence, they aren’t, they are made of stuff in the real world, in your mind they are still made of stuff (patterns of matter and energy).
You’re still under the illusion that numbers are ‘seperate’ from nature, they are merely descriptions of geometry, if you represent all the digits of pi as shapes, you would see the shapes expanding and growing, and that growing stops once time stops. That’s all the proof one needs: the Logic of geometry shows your thinking is deeply flawed.
There is a reason why there is computational limits on pi on a computer: A computer eventually runs out of memory to store the digits, this is why I made the statement, if you froze time the function (endless series) would stop, since the function to create the next digit itself would have stopped as well.
I’m going to go even further and define what I really mean: Stop the flow of energy and time all at once, therefore energy would no longer be flowing either, it would be ‘frozen’ as well, and therefore it’s function would be held in stasis.