Evolving a model of everything

Since time immemorable, humans are in an eternal effort to evolve a model of everything that they observe. From Pythagoras to Plato to Aristotle to Newton to Einstein to whoever. Is it truly possible for us to evolve a complete model of even the simplest things? Let us take sun rise and sun set. I don't think its really possible to evolve a model of this seemingly simple thing.

From what we observe, we can come up with a model. But how do we prove that our model is complete? How do we prove that our model's predictions will exactly match the ones in future? Or that would match with what happend in the past?

Let me pose the question the other way: Our observing ability is so limited. If we evolve a model of anything using our limited observation, will it be complete?