This is the position that is literally called compatibilist.
But when you probe people, while a lot of people will argue in ways that a philosopher might call compatibilist, my experience is that people will also strongly resist the notion that the only options are randomness and determinism. A lot of people have what boils down to a religious belief in a third category that is not merely a combination of those two, but infuses some mysterious third options where they "choose" that they can't explain.
Most of the time, people who believe there is no free will (and can't be), like me, take positions similar to what you described, that - again - a proponent of free will might describe as compatibilist, but sometimes we oppose the term for the reason above: A lot of people genuinely believe in a "third option" for choices are made.
And so there are really two separate debates on free will: Does the "third option" exist or not, and does "compatibilist free will" exist or not. I don't think I've ever met anyone who seriously disagrees that "free will" the way compatibilists define it exists, so when compatibilists get into arguments over this, it's almost always a misunderstanding...
But I have met plenty of people who disagree with the notion that things are deterministic "from the outside".
I'm a regular practitioner of magic, have written essays about it on Quora, and I can identify this mysterious third option as "the universe responding to your needs." You can use any number of religious terms to refer it to, like serendipity and the like, but none of them can capture the full texture of precisely how free will operates.
Approaching this subject from a rational perspective divorces you from subject and makes it impossible to perceive. You have to immerse yourself in it and one way to do that is magical practice. Having direct experience of the universe responding to your actions and mindset eventually makes it absurdly clear that the universe bears intelligence and it's in this intelligence that free will operates.
I'd never thought before now to connect magic this directly to free will. Thanks for the opportunity to think this through! If you're interested in a deeper discussion, happy to jump on a call.
It is stronger than compatibilism. Compatibilism argues that free will and determinism are orthogonal. The argument I summarized is that free will is and must necessarily imply determinism..
I think that is a distinction without difference in as much as it's an excuse not to deal with it. But compatibilist "free will" must imply determinism unless some "magic" third alternative exists, because there isn't another option, and there is no evidence to suggest such a third alternative exists, so in practice every compatibilist I've had this discussion with have fallen back on arguing free will is compatible with determinism.
However "hard" your determinism, there is no support for the notion of agency, and that is all that matters. Without agency, free will is nothing but an illusion, with same moral consequences.
This isn’t true. The position I argued for above is that agency derives from determinism because it is necessarily causal: you have agency because you make decisions in line with your goals. If you didn’t make decisions that were deterministically selected from your goals, you’d actually lack agency!
But when you probe people, while a lot of people will argue in ways that a philosopher might call compatibilist, my experience is that people will also strongly resist the notion that the only options are randomness and determinism. A lot of people have what boils down to a religious belief in a third category that is not merely a combination of those two, but infuses some mysterious third options where they "choose" that they can't explain.
Most of the time, people who believe there is no free will (and can't be), like me, take positions similar to what you described, that - again - a proponent of free will might describe as compatibilist, but sometimes we oppose the term for the reason above: A lot of people genuinely believe in a "third option" for choices are made.
And so there are really two separate debates on free will: Does the "third option" exist or not, and does "compatibilist free will" exist or not. I don't think I've ever met anyone who seriously disagrees that "free will" the way compatibilists define it exists, so when compatibilists get into arguments over this, it's almost always a misunderstanding...
But I have met plenty of people who disagree with the notion that things are deterministic "from the outside".