perhaps, but then it has drawn the interest of many physicists and astronomers for several hundred years.
guilty as charged: i think they call doing that "physics"
since you did not specify the question you were responding to bruntly, i am not sure what question you claim has the answer "yes"...
not such a straightforward thing for chaotic ODEs (all of must be, of course, "multi-dimensional").
smells a bit like a red-herring here. i do not see how the specification of the digits of pi is algorithmically similar to numerical integration of a chaotic ODE on a digital computer. please...
i think Kepler used this to argue there were a finite number of stars in the Universe even before Newton's fears of collapse... (and two centuries before Olber's formulation of the problem).
and a few brits continued to believe it was eternal even afterwards...
in 1907 Fournier published a nice...
agreed
well, perhaps it is easier to say: we find chaotic dynamcis in many of our best models of physical systems.
and it is defined in terms of the infinite time behavious of infinitestimal uncertainties. and there's the rub: if the state of a system is described by intergers then there...
i expect there is a little something missing in the argument from "someone works on it" therefore "it exists."
Carnot not only did work on thermodynamics but worked at much of the basic theory while believing that heat was a fluid.
would you claim caloric exists?
well I've seen the movie, but i do not recall the scene. how steep was the climb?
and while i hate to spoil the nice theory with an ugly fact, but i have been in an aborted landing AFTER we were over the runway; no touch and go; no dramatic climb. in fact we climbed very slowly as we headed...
so honestly: if you pulled "everest is the highest mountain" tonight (after reading this post) would you argue that no information of any kind had be gained?
Rosaencrantz and Guildenstern ARE dead.
can you explain what you mean by "integrate" in that last sentence?
do you really believe anyone "solves" this problem, in a mathematician's sense of soluble? even Newton appealed to God here, for good reason. for almost any initial condition we know a unique solution exists, nothing more. no?