self-described compatibilists would hold to compatibilism which is commonly thought of as
"the thesis that free will is compatible with determinism." So, you see, it is common for compatibilists to refer to determinism as that to which or with which the compatibilist thinking is compatible.
Except that every compatibilist represented here, from me, to pood to Mr. Board Member to Carrier has observed that when you say "determinism" you mean "fatalism", and when we say "determinism" we mean "determinism".
So when we say "determinism is compatible with free will" we say something distinctly different from what you say.
Every compatibilist here has said as much in our own ways.
It comes from the perhaps understandable notion that the compatibilist might lack the specific (and incorrect) intuition that determinism entails fatalism, or have already understood it to be flawed for other reasons (such as a rejection of the set of all sets, via Russel's Paradox).
The "hard determinist", or as incall them the fatalist has not yet rejected these facile and pre-academic views of "necessitation" outside logical axioms in some important and general way.
And to be fair, I'm still exploring my way carefully as I feel I should through that idea space!
But we need to look with suspicion on anything we might declare as necessary, I think fairly universally, at least for anything that finds itself in ignorance and has the tools for effective doubt.
The problem is that necessitation is a thought terminator. Once something is "necessary" there's nothing past that, no way to even think about it, no explanation of why, it's just "necessary" by some sort of FIAT, and you don't even get to ask when or how, and it's always that everywhere!
When you have necessitation in your premise you can necessitate the answer! This use of necessitation is "assuming the conclusion" and it's not valid logic.
You can attach a fig leaf to "necessity" by hiding it in a non-sequitur.
In fact, I think we should fairly well search out for words, not just specific individual words but the whole class of words that can be interjected there, in that structure, to present arguments in similarly faulty ways.
If there are alternatives at the same place-time
Then a contradiction exists, end of statement.
Something is both A and ~A at the same place and time.
The fact that after saying this series of words you don't look at it and immediately recognize it itself indicates a penchant for logical contradiction.
This is why I keep pointing out alternatives don't have to be at the same place in space and time to be alternatives.
Rather, what are being referred to as alternatives are taken as exclusive of the other associated alternatives; if one of those alternatives becomes actual, the others of those alternatives do not - certainly not at the same place-time.
And as said repeatedly, they don't have to exist at the same place and time to be alternatives, though they can exist within the same field of view at the same time, through the function of an existing relationship between places over time.
All of those alternatives are actual, right there, but one of those alternatives is going to become proximally actual twice, sometimes in different contexts, following a rotation and translation in space. It will in one place in one way and then also another place in some abstract way.
That being said, it is possible (even likely) that what DBT means to say is that the aforementioned alternatives are not themselves actual as alternatives/possibilities; such possibilities (specifically those which humans identify as available from which a choice can be made) are illusions
At a buffet, the alternatives are quite real. There's the beef right there. Over there are the mashed potatoes. Right here is the bacon.
They are not illusions. They are quite real, right there on the buffet line.
I do have to do some rotation and translation for them to be on my plate at a later point in time, and to be fair, we do call all the sorts of operations that handle that, quite ironically, "imaginary", but I would rather call this complex or time-delayed. The more general your view of space or options or alternatives, the more things in space stand out as valid alternatives to whatever choice.
But you can't make a choice without alternatives.
Then on the other side, on the side of the mind doing the choosing, and I'll call, abstractly, any such process as causes rotation in a system over time a "mind" in the abstract sense, that contains "deciders". You plug the alternatives into the decider or the pile of them, and you get a decision.
Call the pile of deciders anything you want, a function, a particle, a meta-particle, a quasi-particle, a meat computer, a "human", or even "Jarhyn". It's an arbitrary object, and if you present the alternatives to a different decider, or a different set of alternatives to the same decider, different outcomes occur.
That every moment there is a complete set of alternatives and in every moment there is a complete set of deciders such that you can see the whole system as a single frame of decision makes no difference to the existence of the alternatives and the choosing.
What compatibilists think is compatible here is that they as a subset of those deciders participate in the decisions, and that we can impugn the deciders on the specific decisions over the alternatives such that we can re-decide the deciders, even when the decider itself is the thing being decided upon.
This is what is compatible with
determinism, but not fatalism, which is incompatible with itself.
If you instead just start calling this "determinism plus necessity" fatalism, the problem resolves itself, and you can see what component of "fatalism" as an expanded concept is kept as compatible and what component gets thrown away, since the concepts are distinct.
The issue comes that when we fully expand the thought, that "necessitation" bit sticks out like a sore thumb.
As Copernicus pointed out in the other thread, paradoxes and arguments in philosophy arise from a tucked-away misuse of language.
The misuse is a modal fallacy, and I'm pretty sure at this point that the the modal fallacy is the reason behind Russel's Paradox, and perhaps with all "arguments from bald necessity" as a group.
Indeed the set of all sets implies that instance implies type qualities, that "of all sets", by containing a statement about the set itself, violates a principle of non-circular statements, of the same sort that out "this statement is false" as being a violation (to assign truth as a prior to the conclusion, and ironically, reflected as assuming an axiom).
The problem is that to get to your conclusions, you want me to pretend to ignore that error right at the start of things. I won't, because that's the error that allows you to say "anything", even contradictory nonsense things.