Why is it impossible to produce truly random numbers?
Truly random number" is more of a philosophical viewpoint, as what does it mean to be random is the crux of the philosophical navel gazing (folks aren't even certain if atomic decay is random or follows some pattern we just can't figure out yet).
True randomness implies nondeterminism. If it's deterministic, it can be accurately predicted (this is what determinism means); if it can be predicted, it is not random.
It is fundamentally impossible to produce truly random numbers on any deterministic device. Von Neumann said it best: “Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin.” The best we can hope for are pseudo-random numbers, a stream of numbers that appear as if they were generated randomly.
https://softwareengineering.stackexchan ... om-numbers
(2020) When Science and Philosophy meet Randomness, Determinism, and Chaos
What is the theory behind Randomness? Is randomness fundamentally impossible?
https://towardsdatascience.com/when-sci ... db825c3114
Randomness specialist (mathematician) Nassim Nicholas Taleb: “While in theory randomness is an intrinsic property, in practice, randomness is incomplete information.”
Mathematician Tristan Perich: “Real randomness requires an infinite amount of information.”
Is it even possible to prove that a system is truly random? Since it is by definition incompressible, it requires an infinite amount of information to be considered as a random system. Infinity cannot be counted.
Source: https://towardsdatascience.com/when-sci ... db825c3114
Philosopher Voltaire: “What we call randomness is and can only be the unknown cause of a known effect.”
--
Question: Is true randomness fundamentally impossible? If so/not, what does that imply about determinism?