Not necessarily. We are still capable of changing our minds (or, rather, we will change our minds, if that is how the atoms just so happen to dance). That it's beyond our control doesn't mean it stops happening.
I think you're expressing two opposing ideas in one sentence: "we will change our minds, if the atoms happen to do something". If the atoms are the sole agent of change, then there is no "we". Our consciousnesses don't exist, they're an illusion perpetrated by mindless atoms. (An illusion of mind perpetrated by mindless atoms upon themselves, mind you. What an impossibly bizarre, nonsensical idea that is. If it were presented as an outlandish bit of science-fiction, the purists of the genre would likely frown upon it for being too outlandish. Yet determinists must actually believe it.)
What are they otherwise?
Well those particular answers cannot be otherwise. That's part of my argument, that the statement "We have no free will" has to be a meaningless statement.
But the answer "yes" can be otherwise. "Yes" would still be physical output, but not merely physical output; it could correspond to something outside itself, to another reality, or to an aspect of this reality, where things are real, where there can really be true and false. And this aspect of reality must exist if we are even able to assert that the most basic logic idea is true, such as A = A. Otherwise, A = A cannot be truly said to be true; it can only be said to appear true due to accidents of brain physics and chemistry.
The answer given depends on whether the person asked believes we have free will. If we don't, then his answer is determined solely by atoms and electrical discharge: he hears sound, his brain's synapses fire in particular ways, his muscles move, and the sound "No, we don't" is produced. Just because we don't have free will doesn't mean we don't learn and think and ponder and philosophise. It just means we don't have any real control, despite what we may think to the contrary.
Again, I think the question really is "Do we have a soul? Are we merely physical, or do we have another quality or aspect"?
In the above, you use the word "we" in conjunction with verbs like "believe" and "ponder". If humans are purely physical, then there is no such thing as "we". There are ultimately only atoms performing verb actions, and one of those verb actions happens to be the creation within us of the illusion of "we".
Consider how "I think, therefore I am" is a most stupidly obvious idea. You can apply it to any noun and any verb - "The ball rolls, therefore the ball exists." Then consider the corollary of "I think, therefore I am": "I do not think, therefore I am not." If it's only the atoms physically comprising me which are doing the thinking, then I do not exist. Therefore asking if we have free will is the same as asking if we exist.
But, then again, we may actually have free will, in which case the answer is whatever you want it to be.
Agreed. Except that the response can be whatever you want it to be. For better or worse, the real answer can only be one thing or the other. "Eh? Two views? There are a dozen views about everything until you know the answer. Then there's never more than one." From That Hideous Strength by C.S. Lewis.
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