Is being able to copy a system necessary for that system to be deterministic?
Maybe unrelated, but I am thinking of infinite series as an example. Imagine a “system” that comprises of the sum of inverse powers of 2. This “system” has infinite terms, and is “deterministic” in that the value of of each term of the series is well-defined and that the infinite sum is equal to 1. It would be impossible to “copy” this system as it involves enumerating an infinite number of terms, but the behavior of this system could be argued to be “deterministic”.
Is being able to copy a system necessary for that system to be deterministic?
Maybe unrelated, but I am thinking of infinite series as an example. Imagine a “system” that comprises of the sum of inverse powers of 2. This “system” has infinite terms, and is “deterministic” in that the value of of each term of the series is well-defined and that the infinite sum is equal to 1. It would be impossible to “copy” this system as it involves enumerating an infinite number of terms, but the behavior of this system could be argued to be “deterministic”.