Ian,
Looking at your second scenario.....
(Warning: I'm going to be very pedantic and repetitive here)
Now let's suppose that the copying will take place in a room with a TV set. The copying will take place sometime whilst I am watching my favorite film of all time Groundhog Day, although precisely when duplication will take place is not specified. It could take place anytime during the duration of the film. Imagine also that the duplicate will suddenly appear in an absolute identical room with the same film playing which is also precisely synchronized to the other film.
One of the scenarios I came up with in "Staying Alive" to
show up the materialists was very similar to this. However, instead of watching "Groundhog Day", they were sitting at their computers posting to the JREF Forum.
It should be obvious that nothing untoward will happen at the precise moment of duplication. If I am the original obviously nothing will happen. I will be watching the film and will notice absolutely nothing at the precise moment of duplication. If I am the duplicate, again I will note nothing untoward. At the precise moment of duplication I will suddenly appear in the duplicate room, sitting exactly in the same relative position and posture, the film will be continuous with the film being shown in the other room, and my memories will be continuous with the original Ian just prior to duplication.
Okay, if we assume that the scanner and the duplicator can do their job invisibly and in complete silence then, yes, nothing untoward will happen from the pont of view of both Original Ian and Duplicate Ian
So ok, I'm sitting there watching the film, and I most probably will be thinking to myself "hmmmm, I wonder if I have been duplicated yet or not?". Because I have no way of knowing. Moreover, even if I have been duplicated, I have absolutely no way of telling whether I am the original or the duplicate. But now the end of the film arrives. I know that duplication must have taken place, but there is absolutely nothing about the character of my experiences which could enable me to determine whether I am the original or the duplicate. My consciousness has been continous. I might feel therefore that I must be the original Ian. But of course the duplicate will be thinking exactly the same thoughts. Bearing this in mind I cannot ascribe anymore probability than I am the original than the duplicate, and the same reasoning will be gone through by the other Ian. So I will conclude that there is a 50/50 chance I am the original.
Probabilities only apply to things that have not yet happened.
If you are about to flip a coin, there is a 50% chance of heads. But once you've flipped the coin and it comes up heads, it is 100% heads.
Original Ian is always 100% Original Ian and Duplicate Ian, once he is created by the duplicator, is always 100% Duplicate Ian.
It doesn't make sense to say "Ian" has a 50% chance of being Original Ian and 50% chance of being Duplicate Ian. If "Ian" is defined as the "self" produced by Original Ian's brain at the instant of duplication then the "self" produced by Duplicate Ian's brain at the instant of duplication is identical to "Ian" in every detail except position in space. In other words, the self produced by Duplicate Ian's brain will be identical to but not be the same as the self produced by Original Ian's brain.
Then the door to the room opens, and the person standing there says "I regret to inform you that you are the duplicate Ian, and therefore must be immediately executed"
The self produced by Duplicate Ian's brain has only ever been the self produced by Duplicate Ian's brain . Certainly this self is identical to - if not the same as - the self produced by Original Ian's brain and, until now, when confronted by the executioner, he felt as if he could have been the self produced by Original Ian's brain but he clearly never was .
So we reach our paradox. I had concluded that I was just being given £10,000,000 to watch my favorite film of all time. .
First of all, if "I" is the self produced by Original Ian's brain then, no, there is no danger to the "I" produced by Original Ian's brain because Original Ian is going to live. If by "I" you mean the self produced by Duplicate Ian's brain then that "I" is in mortal danger because Duplicate Ian is about to be executed.
There should have been no danger to myself at all. But yet there is. But this is clearly absurd! After all, how could it meaningfully differ from the situation where the same situation pertains yet no duplication takes place? Then, since no duplicate is created, there is absolute 100% certainty that I am the original Ian
There is no danger to the self produced by Original Ian's brain and the self produced by Duplicate Ian's brain is a goner.
Imagine a slightly different scenario where instead of Duplicate Ian being executed, Original Ian or Duplicate Ian is randomly chosen to die. What then?
No Problem for the Self referred to above. This Self is going to survive whatever happens. This Self will survive as that produced by Original Ian's brain or, in a slightly different location, as the self produced by Duplicate Ian's brain. It can even be set up so that nobody knows whether is was Original Ian who survived or Duplicate Ian who survived but, from the point of view of the survivor (and everyone else for that matter) it won't matter one bit. As you said yourself, Ian, in your scenario, Duplicate Ian feels in every way as if he is Original Ian - until the executioner arrives at his door.
regards,
BillyJoe.
(Okay, I've read this through and it really is difficult to write it so that someone who doesn't understand understands - if you know what I mean

)