[Doctor Stochastic]

That's correct. However, cannot carry these out indefinitely. Two problems, one due to the Lyapanov exponent causing indefinite error growth (what I think you mean) and another to the impossibility of getting initial contidions exactly due to Brownian motion. (Not to mention QM uncertainties.)

I would claim that classical physics isn't deterministic, primarily because tiny measuring instruments undergo Brownian motion limiting their precision. QM non-determinism is of a different kind.

[Doctor Stochastic]

1001=7*11*13