A random event is generally defined mathematically as one event not predictably affecting the next event
I will note that one of the major issues in this discussion is that there are two different concepts of "random" flitting about though this discussion...
It seems to me the reason the discussion attracts perennial interest, and has for centuries, is because it's unresolvable, and it's unresolvable primarily because participants can't agree on definitions and understand various concepts in different ways, not to mention that even if it could be resolved to the satisfaction of everyone, it makes not a lick of difference in how we go about our lives.
It does no good to tell me that I have no actual choices and that everything happens by 'necessity'. If it's reality, that's one aspect of reality I feel content to ignore: because I have to ignore it in order to live and to act.
Well, I think anyone with a background in math can "agree" on the definitions because the mathematical definitions of these things are quite fixed.
In fact when it comes to math, oftentimes we find that definitions
converge between disciplines: people find out that their definitions share identity with definitions of other terms in those other fields.
This tells me that if we are going to approach such a subject as might have definitions handled within the discussion of math, we ought use those because they are eminently
useful in ways that
other sorts of definitions are not.
I can apply terms defined within
math to solve problems.
I cannot use "fatalism" to build anything. It offers no useful... Anything.
I can use the discussion of autonomy to make a relatively autonomous thing.
I can use the discussion about wills to make a system that builds alternative "wills".
I can use the discussion of freedom and constraint to isolate where in a system the freedom towards some outcome was constrained, and whether the system is free from external constraints.
I can use the discussion of responsibility to isolate where in a system some outcome is arising from.
But for some reason, perhaps owing to the utterly unnecessary assumption tacked on which Occam's razor directs us to cut away, or perhaps due to the fact that there's an insufficiently bounded comprehension principle kicking around in the mix, or perhaps at times due to a modal fallacy injected at a foolish time, or perhaps all of these, Fatalism fails to actually give us anything but an excuse to ignore the
immediately apparent facts of autonomy, wills, alternatives, freedom and responsibility.
In fact...
Just imagine, someone comes up to you and says "give me three different alternatives to choose from, of this deck of playing cards".
We should all be fairly able to understand this as them saying to pick three cards and hand them to them, with the idea that after this act, they will make a choice involving those cards.
They might hand these cards back to you, two of them, and say "show me the four alternative ways to order one or more of these two cards".
(C1; C1, C2; C2, C1; C2)
The word "alternative" has a meaning, In math, that does not have any requirement for it to exist at the same time and place and context!
It's almost like Fatalism is a worse-than-useless belief.