As Sniffnoy notes, the bigger problem is about the observation of an actual real number. Any observable signal specifying the instant at which the particle triggered the counter has finite information content, unlike a true real number. This includes the signal sent by your ears to your brain.
I shouldn’t have mentioned pseudo-random number generation in the grandparent—it’s a red herring.
As Sniffnoy notes, the bigger problem is about the observation of an actual real number. Any observable signal specifying the instant at which the particle triggered the counter has finite information content, unlike a true real number. This includes the signal sent by your ears to your brain.
I shouldn’t have mentioned pseudo-random number generation in the grandparent—it’s a red herring.