Yes. If we want to make accurate statements then we need to use the words correctly.
If we are given the choice between Action A and Action B, and we choose Action A, then Action A will happen and Action B will not happen. We Action B COULD HAVE happened if we chose it, but we WOULD NOT choose it this time, so it WOULD NOT happen.
Determinism is satisfied because Action A was always the inevitable choice and it was actually chosen. There was no deviation from the inevitable course of events (and never is).
But we may still speak of the
possibility of Action B happening. For example, our first concern will be whether Action B is something that we are ABLE to accomplish. If it is beyond our power to perform Action B, then Action B would be
impossible and would be immediately eliminated from our list of options. It would be something that we simply cannot do. But if Action B is something that we are actually able to do, then it is considered a
real possibility. And it is just as real a possibility as Action A, assuming Action A is also something that we are actually able to do.
When choosing between Action A and Action B, both options start out as equally possible. All we know at the outset is that "We CAN
do Action A" and "We CAN
do Action B" are both true. And, by logical necessity, we must logically assume that "We CAN
choose Action A" and "We CAN
choose Action B" is also true.
The fact that determinism implies we WILL only choose one of them does not contradict the fact that we CAN choose either of them. When switching from the context of "what WILL happen" to the context of "what CAN happen" we enter the world of possibilities, where there are multiple options, with different outcomes, and each outcome is a different possible future.
These multiple possible futures do not contradict the single actual future. In fact, they are part of the machinery that causally determines what that single actual future will be. For example, there is no way to get from the restaurant menu to the dinner order without considering multiple possible dinners and choosing the single actual dinner from among them: "I will have the Chef Salad, please".
The Steak dinner COULD HAVE happened, but it WOULD NOT happen. Only the Chef Salad WOULD happen. Action B COULD HAVE happened, but it WOULD NOT happen. Only Action A WOULD happen.
Action B would not happen because A is fixed by the state of the system.
Correct.
Action A being fixed by the system negates any possibility of action B happening.
Still wrong. Action A being fixed by the system never negates any real possibility. The possibility of B happening is controlled by the rules of logic, the rational thought process that selects the single actual choice from among the many possible choices.
Because there is zero possibility of action B happening when action A is inevitable, immutable, fixed, 'would not happen' is equivalent to cannot happen.
Also wrong, because it creates a logical paradox. Here it is again for your amusement:
Waiter: "What will you have for dinner tonight?"
Diner: "I don't know. What are my possibilities?"
Waiter: "In a deterministic world there is only a single possibility, only one thing that you CAN order for dinner."
Diner: "Oh. Okay. Then what is the single thing that I CAN order for dinner".
Waiter: "You tell me first!"
Action B cannot happen within a deterministic system.
It CAN, but it WON'T.
What Does Deterministic System Mean?
''A deterministic system is a system in which a given initial state or condition will always produce the same results. There is no randomness or variation in the ways that inputs get delivered as outputs.
Absolutely correct! Finally, you quote a definition of determinism that does not confuse what can happen with what will happen!
And that is all that I am asking for, is to stop misusing CAN as if it meant the same thing as WILL.
It's meaningless to say 'there are many possibilities' within a system where none of these perceived 'possibilities' have the possibility of happening.
Nevertheless, perceiving those possibilities is part of the very mechanism that causally determines the single actuality. They are undeniably deterministic events within a deterministic system.