I have a question about the philosophy using probability/statistic theory to solve some real world problems that we don't have a fully understanding of its deterministic mechanism yet.
For example, to simulate some nature problems, as we don't know the full scientific mechanism behind it, we may try to borrow stochastic theories, which means we assume the nature of this real problem is random. However, it is quite possible that this real problem is governed by some deterministic way that we don't know yet. So is there any contradiction between these two. It seems we are admitting both deterministic (mechanism we don't know yet) and stochastic (use stochastic model to solve it). And how could we judge out stochastic model's results in this way?