There are six choices:
The problem with choices 1 and 2 is that Lefty and Righty each seem to have an equally good claim to be identical to David. Why should one of them be identical to David, but not the other?
The problem with choice 3 is that personal identity is a transitive relation. What it means for a relation to be transitive is that, if the relation holds between A and B, and it also holds between B and C, then it must also hold between A and C.
So in this case, if Lefty is one and the same person as David, and David is one and the same person as Righty, then, since personal identity is transitive, it follows that Lefty must also be one and the same person as Righty. But Lefty and Righty are clearly not one and the same person. They are two different people, with their own experiences, beliefs, and bank accounts. So it cannot be the case that David is identical to Lefty and also is identical to Righty.
Choices 5 and 6 are interesting, but complicated. For present purposes let us merely remark that Lefty and Righty do not appear to make up a composite person, any more than you and I make up a composite person. (Lefty and Righty do have a common set of shared memories, it is true, but they have gone their separate ways since the fission. They cannot "read each other's mind," or anything like that. They may disagree about many issues.) Let us also remark that it does not appear as if, before the fission, two people are occupying David's body. So choices 5 and 6 both have some prima facie implausibility.
That leaves choice 4. When David undergoes fission, he ceases to exist. This is surprising. But it seems to be the most sensible, and least problematic, answer.
Here are some other possible fission cases:
What if you step into the teletransporter, and it decomposes your body and your brain and radios the signal to Mars. A perfect copy of you is created on Mars. At the same time, some hackers are "sniffing" the radio traffic to Mars, and they pick up your signal and create a perfect copy of you on Venus. Each of the copies looks like you and talks like you. They both seem to remember events from your past life. Neither seems to have a better claim to be identical to you than the other. This would be another case of fission.
What if the teletransporter destroyed your brain and body as it scanned them. Would it then be you who shows up on Mars?
Let's think about some other kind of cases for a few moments.
Remember the scene in The Matrix, when the character Cypher was choosing to live in the illusory world of the Matrix. Cypher would have his memories of the outside world erased, so that he forgets that there is an outside world, and forget that his experiences are all an illusion. As far as he's concerned, it doesn't matter if he's a slave to the machines, so long as he doesn't know about it. What he doesn't know won't hurt him.
How do you feel about that? Suppose we do this. One of these classes, before you show up, me and the rest of the students are going to get together and look at your first paper, and laugh about how bad it is. Then some of the other students will do imitations of you. Once again, we all laugh. But everyone promises not to tell you about this, and in fact you never find out. Do you have any objection to that? Suppose I give you a choice between (i) nothing, and (ii) I pay you $10, but then we'll all make fun of you behind your back. You never know about this teasing. (I arrange to have your memory of why I paid you $10 erased.) What would you choose?
Most people would choose (i). The lesson is: things that happen can sometimes be bad or undesirable even if, were they to happen, you wouldn't know that they had happened.
Would it be OK if I killed you? Painlessly and without warning? You would never know you were about to die, and then after you're dead you wouldn't know anything had happened, either. Do you have any objection to that? Suppose I give you a choice between (i) nothing, and (ii) I pay you $10, but then I'll kill you without warning next week. You'll never know about this. (I arrange to have your memory of why I paid you $10 erased.) What would you choose?
What about if I killed you, painlessly and without warning, but I hypnotize everyone so that no one else notices you're gone. So now your family and friends don't undergo any suffering or grief. No one will notice your absence. Do you have any objection to that?
Now, suppose that once again, I kill you, painlessly and without warning, but this time, instead of hypnotizing everyone, I introduce a perfect duplicate of you into your life. So no one knows you're gone, because they all falsely believe that the duplicate is you. Even the duplicate thinks he is you, because we gave him a bunch of false memories of your childhood. (Like the replicants in Blade Runner.) Do you have any objection to that?
Some philosophers think that's exactly what it would be like, if you went through a teletransporter that decomposed your brain and body as it scanned them. On their view, teletransportation isn't a way to TRAVEL. It's a way to get yourself killed, and to have a perfect duplicate of you made at the other end. It might not make much of a difference to your family and friends, whether they're dealing with the original or the duplicate. But since you're not the duplicate, you're you, and you'd like to still be around next week, it will make a big difference to you.
Here's an argument for this view of teletransportation. Recall the episode in Parfit's "What We Believe Ourselves To Be." There you stepped into the teletransporter, and it recorded all the information about your body without destroying you. It created a perfect duplicate of you on Mars. In that story, it seems like you'd still be hanging around back on Earth. You can talk to the duplicate by videophone. This reinforces our sense that the duplicate isn't really you, it's just a copy of you. Then after an hour or so, we'll kill the person left on Earth. (It would be inconvenient to have two versions of you running around.)
In this case, when there's a delay between the time when the machine records the information about you and the time when your body on Earth is destroyed, it does seem that the person who comes out of the teletransporter on Mars is just a copy of you. So why should things be any different if your body is destroyed immediately after the teletransporter records the information about you? Or if it's destroyed simultaneously? Why should those matters of timing make a difference to whether the person who steps out of the teletransporter on Mars is really you or just a copy of you?
What do you think is the right way to think about teletransportation? Is it a way to travel, or a way to commit suicide while creating a copy of yourself?
Proposal #5: Stage A* and stage B* are parts of the same person iff they are parts of a chain, all of whose later stages quasi-remember (or are able to quasi-remember) "from the inside" events experienced by the immediately preceding stages.If the right thing to say about fission cases is that the original person is identical to neither of the resulting people, then Proposal #5 cannot be correct. For both Lefty and Righty are psychologically continuous with David. Hence, Proposal #5 would count them both as being identical to David. Yet we've just said that neither is identical to David.
(This is the objection Gretchen Weirob makes on pp. 32-33 of Perry's dialogue. Gretchen states the point in a very compressed way. I have tried to spell it out in more detail.)
Proposal #6: If A* and B* are parts of a chain of psychologically continuous person stages, and if the later stages in this chain do not co-exist with any other "competitor" stages, not part of the chain, which are also psychologically continuous with A*, then A* and B* are parts of the same person (p. 33).
One of my former students, Tom Kelly, offered the following analogy.
Take a piece of chalk, Chalky. Now suppose that as I write on the board with Chalky, it gradually gets worn down to a stub Stubby, half the size of the original piece of chalk. If I started the class holding Chalky in my hand, and end the class holding Stubby in my hand, it seems right to say that I've had the same piece of chalk in my hand for the course of the class. That is, it seems right to say that Chalky and Stubby are the same piece of chalk. (It's just that this piece of chalk has gotten worn down as the class progressed.) Contrast a second case, where I hold Chalky up at the start of class, and break it perfectly in half. In my right hand I have a stub S1, and in my left hand I have a stub S2. We can imagine that S1 is exactly the same size and shape as Stubby was, in the first case. We can even imagine that S1 and Stubby are made of the same molecules. However, although in the first case it seemed right to say that Stubby is the same piece of chalk as Chalky, here it does not seem right to say that S1 is the same piece of chalk as Chalky. S1 has a competitor, S2. S1 and S2 seem to have equally good claims to be identical to Chalky; hence, we're forced to say that neither is identical to Chalky. In the first case, though, where the stub in my right hand had no competitors, it did seem right to count that stub as the same piece of chalk as Chalky. So the presence or absence of competitors makes a difference to whether we count the stub as being the same piece of chalk as Chalky.
The defenders of proposals like Proposal #5 and Proposal #6 are often referred to as "psychological continuity theorists." There are some other refinements of Proposal #5 we could consider instead. I'll label them as follows:
Proposal #7: If A* and B* are parts of a chain of psychologically continuous person stages, and if the later stages in this chain do not co-exist with any other "at least as close competitor" stages, not part of the chain, which are also psychologically continuous with A*, then A* and B* are parts of the same person.That view is known as the "closest competitor theory".
Proposal #8: If A* and B* are parts of a chain of psychologically continuous person stages, and where that chain also includes most or all of the same persisting physical body, then A* and B* are parts of the same person.
Proposal #9: If A* and B* are parts of a chain of psychologically continuous person stages, and where that chain also includes most or all of the same persisting physical brain, then A* and B* are parts of the same person.Proposal #9 is discussed later in the Perry dialogue. Proposals #7 and #8 aren't discussed, though they are natural variations on the views that are discussed. I will postpone discussion of these alternatives to Proposal #6 until the lecture notes for Perry's Third Night.
We will note only the first of these objections here. This is that Proposal #6 makes the answer to the question "Does the chain connecting A* and B* compose a single person?" depend on matters extrinsic to that chain. Whether A* and B* count as parts of a single person will depend on whether B* has any competitors--that is, on whether there are any other person stages elsewhere in the universe which are also psychologically continuous with A*. But this seems wrong-headed. The facts about whether A* and B* are parts of the same person shouldn't turn on what other chains of person stages exist elsewhere in the universe. Personal identity should be an intrinsic matter. It should only depend or supervene on what the chain connecting A* and B* is like, intrinsically. Facts about other chains should not be relevant. (Think about whether this objection also applies to Proposals #7, #8, or #9.)