Does this real system exhibit properties not describable in mathematics? I cannot think of any.
Well dear tortoise, maybe you're not "trying very hard."
On the other hand, maybe you are "trying very hard" to ignore the obvious. Maybe you even might imagine that the "mathematization" of any something puts it into our "control."
I don't know which it might be; likely it is neither.
But we must leave this interesting conundrum for another time; 'cause I've got to get some sleep! (I'm overdue.)
Hope to see you soon. Thank you truly for writing. Good night!
I would say yes. Let's say the physical situation is this: I will fire a vertically polarized photon through a horizontal polarizer at a detector. The detector will either definitely register the photon or not. So far as I know, you can't write a program that predicts which will occur even though your knowledge of the situation is perfect.