query: Are there systems in classical mechanics that are provably non-deterministic?
positive_passages.docid: 2185
positive_passages.text: What situations in classical physics are non-deterministic?
negative_passages.docid: 78182
negative_passages.text: Hamiltonian or not?
negative_passages.docid: 79180
negative_passages.text: When can an autonomous system be written using a Hamiltonian?
negative_passages.docid: 42414
negative_passages.text: Why there is no unique "recipe" for quantization of a classical theory?
negative_passages.docid: 57098
negative_passages.text: Is perpetual motion impossible?
negative_passages.docid: 99695
negative_passages.text: How does non-commutativity lead to uncertainty?
negative_passages.docid: 10255
negative_passages.text: Paradoxes without self-reference?
negative_passages.docid: 122561
negative_passages.text: Is the energy always discrete?
negative_passages.docid: 47320
negative_passages.text: An example of almost sure finite random time S such that $W_t=B_{S+t}-B_S$ is not a brownian motion
negative_passages.docid: 44842
negative_passages.text: How can a particle's position be random and uncertain in quantum mechanics if it is already pre-determined in relativity?
negative_passages.docid: 126697
negative_passages.text: Can the Universe be deterministic and still allow free will?
negative_passages.docid: 5035
negative_passages.text: Can unprovability unprovable? Is there an $\omega$-fold unprovability?
negative_passages.docid: 149406
negative_passages.text: Reversible and Quasi-static processes
negative_passages.docid: 100748
negative_passages.text: Probability, quantum physics, and why (can't it/does it) apply to macroscale events?
negative_passages.docid: 135656
negative_passages.text: Why non-measurable sets exist?
negative_passages.docid: 41937
negative_passages.text: Can one construct a non-measurable set without Axiom of choice?
negative_passages.docid: 14496
negative_passages.text: Is there any example of a non-measurable set whose proof of existence doesn't appeal to the Axiom of choice?