Lots of classes function are infeasible to compute, but they're deterministic nevertheless. The whole universe might not have enough computational power to give you the answers.
> Lots of classes function are infeasible to compute, but they're deterministic nevertheless.
Exactly, and it also depends on the timescale and precision you're looking for.
It should be obvious that planets in our own solar system aren't showing up at unpredictable locations after a few years, even though our solar system has significantly more than 3 bodies in orbit.
The chaotic behavior in these systems shows up eventually but it's a mistake to think that it's chaotic from the start. We can, and do, predict these systems quite accurately around the starting conditions and time.
The philosophical mistake in the OP's comment is equating a hands-off chaotic system (n-body problem) with a system that has many feedback loops (a person's life). Planets orbiting in space can't take action to change their trajectories. Humans navigating their lives can and do take actions to change their trajectories.
Humans can make moves to correct their own course. Planets cannot. Equating the two is a misunderstanding of personal agency.
PragmaticPulp|4 years ago
Exactly, and it also depends on the timescale and precision you're looking for.
It should be obvious that planets in our own solar system aren't showing up at unpredictable locations after a few years, even though our solar system has significantly more than 3 bodies in orbit.
The chaotic behavior in these systems shows up eventually but it's a mistake to think that it's chaotic from the start. We can, and do, predict these systems quite accurately around the starting conditions and time.
The philosophical mistake in the OP's comment is equating a hands-off chaotic system (n-body problem) with a system that has many feedback loops (a person's life). Planets orbiting in space can't take action to change their trajectories. Humans navigating their lives can and do take actions to change their trajectories.
Humans can make moves to correct their own course. Planets cannot. Equating the two is a misunderstanding of personal agency.
m3kw9|4 years ago