I was reading that Chaos (in the mathematical sense) is deterministic, but not predictable. Is this unpredictability an intrinsic property of Chaos, or is it a practical matter of computing power and/or mathematical knowledge? In other words, given the most powerful computer that is physically possible in the universe, as well as a full understanding of mathematics (and Chaos in particular), would Chaos be predictable, or would it still be unpredictable, since its unpredictability is an intrinsic property?
I would greatly appreciate it if the more knowledgeable members could please take the time to clarify this.
EDIT: If we presume that predictability is in reference to the equations' sensitive dependence on initial conditions, then I would change the question into a more sensical one. My question, then, is not whether or not such a computer would make Chaos insensitive (in other words, eliminate sensitivity) to initial conditions, since my understanding is that the sensitivity of the equations to initial conditions is an intrinsic property of Chaos (by definition); rather, my question would be that, assuming the most powerful computer physically possible in the universe, as well as a complete knowledge of mathematics (and Chaos in particular), could we predict Chaotic phenomena exactly, as we can with non-Chaotic phenomena, since Chaos is deterministic? Or is there some intrinsic property of Chaos that makes its (full (continued?) ?) evolution (in the mathematical sense) unknowable, given the possible computing power and mathematical knowledge available in the universe?