There's a significant difference between "Nobody can solve this problem, despite it having a well defined answer, regardless of the power of the computer and th

There's a significant difference between "Nobody can solve this problem, despite it having a well defined answer, regardless of the power of the computer and the time given to solve it, no matter how clever you are" and "I can only get an approximation to the solution, but the error will always be well defined, so I can get arbitrarily accurate solutions, say within a nanometer given a few billion years or so."