Many entirely deterministic process in nature are known to be unpredictable.
That's because the number of operative factors is so huge. But in the lab experiment the fewer such factors and the more carefully they can be controlled, the more likely uniform results. Unpredictable doesn't mean not predestined. But even if predestination is disproven, freewill isn't a necessary conclusion.
Forgive me Geo but there are 5 statements above. Which one one or ones isn't true
Chaos is not a consequence of the number of variables in the problem or process,……..
Yet Intuition seems to insist the more factors operating to outcome, the more difficult to predict
In the case of the dynamics of a moving object…….is potentially subject to chaos…... initial conditions.
Of course, even I
understand that (for the most part)
That means a small deviation…in…..initial conditions…….will.lead inevitably to…..unpredictable errors in any forecast……..
Isn't that another way of saying what you said above. In any case yes it sure seems that way. If what you're asserting is that small changes in the initial conditions cause big changes in outcome; everybody knows that, it's obvious. But so far, no impact nor connection to what many of us call determinism
Such Chaos exists both in real physical systems and in the mathematical equations used to represent them.
Okay Geo I'm still with you…...
Something as simple as a double or triple pendulum is subject to chaos…….The flow of water…...chaotic above a certain speed…….
Yes, yes Geo, so far it seems I'm following all this okay; in other words there's chaos everywhere
You need to think harder about these things.
No matter how hard your Average Clod (me) thinks, he might miss the point in the presence of a superior mind (yours). Again forgive me Geo, it's possible I'm grossly misunderstanding or misinterpreting something you've said but still I can't see what chaos has to do with determinism