# multibody problem and determinism

Given that there is no exact general solution to the $N$-body problem, can it be concluded that the Universe is non-deterministic, even for the Newtonian case (ignoring relativistic and quantum effects)?

• Not having a closed-form solution is not the same as not having a unique future. – dmckee --- ex-moderator kitten Apr 8 '14 at 15:46
• But there does exist an exact, unique solution for given initial data. The fundamental theorem of ODEs guarantees this. – Robin Ekman Apr 8 '14 at 15:47
• There is a difference between closed-form expressibility and determinism. The $N$-body problem is not closed-form expressible, but it is still deterministic. – DumpsterDoofus Apr 8 '14 at 19:10