I'm not talking about people's perception of the truth, I'm talking about the actual truth. The clone will behave like the original. That's a fact. It not true because the copy thinks or doesn't think it's true. It's simply true because the world is deterministic. A set of given conditions will result in a set outcome in a deterministic world. No ifs and buts about it.That's not correct. I think that you're misapplying a third-person perspective to a first-person context. When you describe someone else, you may be able to rule out certain future actions on scientific grounds. When a person describes himself, and in particular his own actions, the only way he can rationally rule an action out is if he's already decided against it. Even if he has in hand a complete description of the early universe and the (suppose for the sake of argument) deterministic laws of nature, he's still not rationally compelled to conclude on scientific grounds, "I will do A". He's not, because he knows darn well that if he concludes on practical grounds "I will do B", he will do B. Because either conclusion would be self-fulfilling, neither one is rationally forced. More details of this subtle point here, along with a reference to David Velleman's original paper on the subject.
You and the paper seem to be talking about the paradox of predicting your own actions, but that's not what I'm talking about. The clone has no knowledge of the original (otherwise it my have the desire to be different, which will violate the identical environments premise).
And here you go talking about modal fallacies again. . .The wording (and, I suspect, the intended meaning) is wrong. You are entitled to say:
There is no possibility that there is a difference in behavior between you and the copy
But your first sentence above doesn't follow from that. "The copy has no possibility ..." illegitimately distributes the impossibility, moving it from the relationship between us onto one (or each) of us considered individually. It's the modal scope fallacy deja vu all over again.
All the following are equal (assuming that like means identically):
There is no possible difference in behavior between you and the copy
You and the copy behave identically.
You behave identically to the copy.
The copy behaves identically to you.
to put it in math terms:
if X is equal to Y
then Y is equal to X
and Y and X are equal
Obviously if something is true, then it has a 100% chance of being true.