That’s not really the usual account of determinism. Take the definition of the Stanford Encyclopedia of Philosophy:
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Determinism: The world is governed by (or is under the sway of) determinism if and only if, given a specified way things are at a time t, the way things go thereafter is fixed as a matter of natural law.
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One might quibble about what, exactly, ‘fixed’ is supposed to mean here. That’s clarified by the introductory sentence:
This suggests that for ‘fixed’, we should read ‘necessitated’. This states a logical implication from the state of the universe at a given time to whatever happens ‘thereafter’, if combined with the laws of nature. If there is such an implication, then ‘the distance in between’ is irrelevant: it does not add anything. Such and implication, however, is false on my view: for at least some alternatives, whether A or B occurs is not fixed by the state of the universe at time t and the laws of physics.
In any case, it’s clear that the universe could have been such that one need not consider all the stuff ‘in between’: if it’s simple enough (and doesn’t allow for universal computation), then one indeed would have needed only the initial conditions & laws to infer every outcome (just as with my example of the stone thrown in a gravitational field). If most determinists are savvy enough to know that this isn’t the case for our universe (which would be miraculous, since most determinists lived before the required concepts even existed, and most determinists today are hardly aware of them), then they’re awfully cagey about pointing this out, and indeed, apparently will oppose those who do. So I think one could be forgiven about thinking otherwise.
That strikes me as a bit odd, since you have just claimed that compatibilists have held to the notion that one has to “carry out all that “irreducible*” stuff that [noparse]*[/noparse] consider an integral part of free will” all along…
Well, if he really abhors them to the degree that in every situation, it’s completely certain that he won’t eat them, then he’s not really free to eat them—after all, such a desire is, if naturalism is true, just some particular patterns of neurons firing, and if that firing reliably prohibits him from eating cherries, then it’s as much a (physical) constraint on him as a pair of shackles would be.
But in reality, that’s rarely the case—I don’t like tomatoes, but if I get served a burger with some on it, I might, or might not, pick them off, or send the burger back.