Re:Scientists find an effective solution for the three-body ...
by elcomet on Thursday August 19, 2021 @04:27AM
(#28231607)
This does not match the intuitive notion of randomness though.
I would say for a given variable to be random, it must not be predictible, given any other variables that humans can know.
I don't think it makes sense to say that X is random "with respect to Y", that's just the definition of independence.
And a constant variable is independent from all other variables, but it's definitely not random.
Re:Scientists find an effective solution for the three-body ...
by mjburgess on Sunday August 22, 2021 @02:50AM
(#28263461)
Then only quantum indeterminate phenomenon is random, and nothing else.
I dont think many people have thought enough about the world to appeal to their intuitions.
Randomness isnt quantum indeterminacy.
Non-determinism is an incoherent definition of randomness; classical physical processes are entirely deterministic.
The point of a coinflip being random is that it is random with respect to the information both observers of the coinflip have. It isnt random with respect to /any/ piece of information.
There are almost no processes which are non-deterministic in this sense. Not enough to bother calling them random; and in physics we do not: the word is indeterminate. Randomness has nothing to do with quantum mechanics; it wasn't invented in the 1920s. It's an epistemic condition.
The RANDOM variable X, st. X ~ N(mean, std) provides a random number x -- x isnt random with repect to the outcome which produced x; nor is it random with respect to an index of a vector in which it is contained.