In practice, we only ever measure things to finite precision. To predict these observations, all we need is to be able to do these operations to any arbitrary specified precision. Runtime is not a consideration here; while time-constrained notions of entropy can also be useful, their theory becomes messier (e.g., the 2nd law won’t hold in its current form).
In practice, we only ever measure things to finite precision. To predict these observations, all we need is to be able to do these operations to any arbitrary specified precision. Runtime is not a consideration here; while time-constrained notions of entropy can also be useful, their theory becomes messier (e.g., the 2nd law won’t hold in its current form).