Matrix and philosophy... I really believe that is what the film was all about, a Phillip K Dick approach.
Chaos theory is part and parcel of complexity and catastrophe theory. The three are (like quantum physics) very, very well likely (near 100%). However, like my metaphysical approach to quantum, the uncertainty or fuzz is true in the sense that the math is consistent and what we can know about the real world (outside of mathematical reflexion) validates that uncertainty.
While I do wish the world were certain, determined and totally determinable, I can accept it is not. Those who state "we can currently not find a pattern in the system" include some very sharp mathematicians. But this statement is, in essence, a statement of metaphysics--what they want to be the case. Neither side can be proved, but mine (that the uncertainty in inherent in the Kosmos) is more consistent.