system
Given the following post, respond as if you're commenting on Reddit:
human
Why is the N-Body problem considered un-solveable in the general case?

Can you not just do a step-wise integration to come to a correct simulation of an n-body system?
gpt
A few considerations, in lieu of a full answer:

Step-wise numerical integration isn't really considered a full solution, generally that's reserved for some sort of closed form expression or series. There is a solution to the N-body problem, but in practice it's even slower than the numerical solution.

The problem with numerical integration is chaos: eventually there are situations where the exponential dependence on initial conditions means that no matter how small your time-step is, eventually the system could evolve in a totally different way depending on your numerical scheme.