A good challenge. Let’s dance a little.
I believe your triad of beliefs, assembled into a single system, contains several philosophical holes.
Hard determinism + Complete nihilism + Materialism—that’s absolutely irrefutable, bulletproof, and totally dogmatic armor. It’s constructed exactly like the medieval theology it supposedly transcends.
The first sign of dogmatism is total irrefutability (I suggest you read Popper). Look: if I present any logical argument now, the determinist will respond, “You said that not because it’s true, but because the neurons in your brain were predetermined to fire that way since the Big Bang” (or something similar). Any argument against determinism within determinism is declared an illusion. Thus, your position is unshakable from within, but therein lies its main trap: how does it differ from all other dogmatisms?
Similarly, with nihilism: start arguing with you and arguing your position in any way—you can always say something like, “We’re just random mold and none of this means anything.”
All three approaches seem like a kind of “mind cleansing” and an impartial view of the laws of the Universe. But in reality, this is more like a convenient template that ideally saves your brain energy, compared to, say, holding on to irreducibility. I’ll go further: in your dialectical urge to tie everything together and resolve all irreducibility to one position or another, you contradict yourself with that same nihilism.
Materialism tells us about building blocks—atoms—and they collide. But… tell me a constant of matter that remains solid within a different network of implication? Tell me what matter is, ultimately? Aren’t you basing your logic and arguments on a frozen, imaginary snapshot from 150 years ago?
Therefore, I consider such a triad a soft and cowardly position. It pretends to be tough, but there’s no elasticity in it because it doesn’t allow conflict to enter.