Shantila's Inside Logic #13

Arguments

You are still at the airport. Things have quieted down. The man who was going to confess but then pulled out the gun and then got shot is lying on the floor. Perhaps he is dead. EMT personnel burst onto the scene and begin working on the poor man. You sit down and catch your breath.

What is death? you ask yourself. Suppose the man is dead. He looks dead. Is it even possible that somehow he could still exist? Suppose he has, or is, a soul. Lots of people believe something like that. Would that mean he could still exist somehow even if he is dead?

You remember looking up something on the internet last week. You had seen Fox Mulder being interviewed on CNN about something he wrote as part of an investigation of an alien named Joe Carson. A website address had flashed on the tv screen, and having had nothing better to do, you had written down the website address. http://personal.bgsu.edu/~mbelzer/indexdialogue.html

To distract yourself from looking at the poor guy lying on the floor, perhaps dead, you decide to use your wireless laptop to get online and see what it was.

***

Mulder: Ok, Scully, now what was I going to explain to you?

Scully: I believe you were going to explain Gretchen Weirob's argument that we do not exist by virtue of being essentially unchanging, substantial souls.

Mulder: Right. She rejected that idea. Gretchen was a friend of mine. I was there when she died a few days after the motorcycle crash.

Scully: So what was the argument?

Mulder: One night before she died, she tried to explain that even if souls happen to exist, they cannot be all that relevant to our existence as people-- at least not if we have knowledge of our own or others' identities from one day to the next. And obviously we do have that sort of knowledge.

Scully: Ok. How did she argue for it?

Mulder: Actually, the philosopher John Perry tape-recorded the conversations with Gretchen, and he published them in the great little book, Personal Identity and Immortality.

Scully: Great. What was her argument?

Mulder: By the way, in his transcript he refers to me as “Miller” rather than “Mulder”--

Scully: Yes, I know.

Mulder: Perry apparently was a bit hard of hearing.

Scully: Ok. What's the argument?

Mulder: Scully, I am going to give you my reconstruction of Gretchen's argument that personal identity through time is not due to identity of a soul.

Scully: Great!

Mulder: I was there when she made this argument, but Perry thought my name was Miller. But my name is Mulder.

Scully: Good Lord, Mulder! I know what your name is!

Mulder: Yes, but in the book Perry calls me Miller, not Mulder.

Scully: Mulder, I know that too since you have already told me six times.--So what is the goddam argument?

Mulder: Ok. Relax, Scully.. Here is my interpretation of Weirob's argument, as follows. There are four premises, or assumptions, for the argument. I will spell out the whole thing.

1. We have knowledge of personal identity through time. [Premise]

(Explanation. This first premise just says we have knowledge of our own identity through time, and we also have knowledge of the identities of other people through time. Scully, this point is not complicated. All it means is that you can know that you existed at earlier times just as you know that you exist right now; and about other people, for example, you can know that you are having breakfast with your lover --whoever that might be--and that he is the same person with whom you went to the movies the night before.)

2. If we have knowledge of personal identity through time, then either personal identity is not due to identity of a soul or we have knowledge of soul identity through time as well. [Premise]

(Explanation. Scully, this means, for example, when you know that you are eating breakfast with the same person with whom you went to the movies, you must know that you are interacting with one and the same soul. --At least, that has to be true if personal identity just is soul identity.)

3. Either personal identity through time is not due to identity of a soul or we have knowledge of soul identity through time. [This just follows logically from premises 2 and 1 by modus ponens MP. I am spelling this out step by step, Scully, just to make sure you get it.]

4. If we have knowledge of soul identity through time, we are able to correlate souls with physical or psychological features. [Premise]

(Explanation. Suppose we have knowledge that the same soul exists at two different times t and t*. This what it means to have knowledge of soul identity through time. What this premise says is that if we have that sort of knowledge, then we have to be able to correlate souls with some physical or psychological features so as to be able to determine that there is one and the same soul present at the two times t and t*. That is, we would have to be able to correlate a soul at various times t and t* with physical or psychological features at the times t and t*-- otherwise, what right would we have to assume that the same soul is present?)

5. But in fact we are not able to correlate souls with physical or psychological features. [Premise]

(Souls are supposed to be nonphysical entities; they cannot be seen or touched or detected by the senses. We never observe our own soul or those of our friends, and so we can never correlate physical or psychological features with souls.)

6. So we never do have knowledge of soul identity through time. [From 4 and 5 by modus tollens MT]

7. Conclusion: Personal identity through time is not due to identity of a soul. [From 6 and 3 by disjunctive syllogism DS]

Scully: Wow. Nice job, Mulder. I didn't know you could make up arguments! I am actually very impressed.

Mulder: Scully, what this means is that even if souls do exist, they cannot account for our identity through time as people.

Scully: Hmm.

Mulder: So Weirob's point was that whether or not souls exist is a question completely independent of how we should think of ourselves as people -- at least, given the obvious everyday knowledge of our own identity and the identities of our friends.. I hope this is clear.

Scully: Ok, I see it, I think. The knowledge of personal identity is simply that we know who our friends are--

Mulder: Right.

Scully: When we are with them, we know that they are really our friends and not some sort of fakes?

Mulder: Yes, that simple sort of knowledge. Or just the simple awareness that you existed yesterday and that you still exist today. That is knowledge of your own identity through time.

Scully: So the argument is about something as simple as knowing that I am having breakfast with the same person with whom I went to bed?

Mulder: Yes. That simple sort of knowledge.

Scully: Hmm.

Mulder: By the way, who is he?

Scully: None of your business, actually. So the argument's conclusion is that we exist through time, but this cannot be understood as being due to the existence of a soul?

Mulder: Right. Of course, the conclusion depends on four assumptions -- those are the premises listed in lines 1,2,4, and 5.

Scully: Hmm.

Mulder: The argument definitely is valid. And each of the premises seems true -- so the argument seems sound as well.

Scully: Wait a minute. Why should I believe that the argument is valid?

Mulder: Because each line is either a premise or it is derived using a valid Rule of inference. Here --let me spell it out for you using Shantila's system-- the one we used in FBI school.

Scully: Sorry, I really don't think I paid much attention to all that.

Mulder: I will use these abbreviations.

K: We have knowledge of personal identity through time.

P: Personal identity is due to identity of a soul.

S: We have knowledge of soul identity through time.

C: We are able to correlate souls with physical or psychological features.

 

Here is the argument spelled out.

K, K>(~PvS), S>C, ~C } ~P

  1 1. K A    
  2 2. K>(~PvS) A    
  1,2 3. ~PvS 1,2 MP    
  4 4. S>C A    
  5 5. ~C A    
  4,5 6. ~S 4,5 MT    
  1,2,4,5 7. ~P 3,6 DS    
             

Scully: Ok. Suppose the argument is valid.

Mulder: Well, it is valid. You don't have to just suppose it. I just proved it.

Scully. Ok, fine. But are all four premises true?

Mulder: Well, good question. So you are asking, is the argument sound?

Scully: Yah.

Mulder: We have to examine that. When we spell out the premises, then we can examine them and raise questions about them and test them to see if they are true. But in this argument, all the premises look pretty good to me.

Scully: I wonder about premise 5. Is that one really true? Why are you so sure we cannot correlate souls with physical or psychological features?

Mulder: Well--

Scully: But why couldn't we do it at least in our own case?

Mulder: Gretchen talked about that.

Scully: Well, listen. I remember reading about this sort of thing in a philosophy class. Descartes had an argument something like yours, except with exactly the opposite conclusion.

Mulder: Oh, really?

Scully: Yes, it went something like this. I can imagine existing without a body. Yet if I can imagine existing without a body then it is possible for me to exist without a body. Now either some essential part of me is nonphysical or it wouldn't be possible for me to exist without a body. And if some essential part of my is nonphysical, then personal identity is due to identity of a soul. Therefore, personal identity is due to identity of a soul.

Mulder: Well.. uh... can you spell that out for me?

Scully: Nah, I don't really want to bother. I want to polish my nails. Besides, I can't remember Shantila's system. Why don't you do it?

Mulder: Ok, let's see. I will try. Let's use the following symbols.

I: I can imagine existing without a body.

E: It is possible for me to exist without a body.

N: Some essential part of me is nonphysical.

P: Personal identity is due to identity of a soul.

 

The argument then can be represented by this sequent:

I, I>E, Nv~E, N>P } P

Is this argument valid? Yes, I think it is, because look, we can use the Rules to spell it out. We can prove that the argument is valid, as follows.

  1 1. I A    
  2 2. I>E A    
  3 3. Nv~E A    
  4 4. N>P A    
  1,2 5. E 1,2 MP    
  1,2 6. ~~E 5, DN    
  1,2,3 7. N 3,6 DS    
  1,2,3,4 8. P 4,7 MP    
             

Scully: Ok.

Mulder: So it looks like this argument also is valid.

Scully: Great. Wonderful. So listen, Miller, why are we on this case? Why are we wiretapping these girls?

Mulder: What did you just call me?

Scully: What?

Mulder: Did you call me Miller?

Scully: Miller? Why would I call you that? Your name is Mulder.

Mulder: But I thought you--

Scully: Just look at your badge.

You suddenly realize an EMT person is talking to you. "He had on a bulletproof vest! --He's going to be ok. Here's the bullet."

You don't know whether to be happy or sad.

Joe takes the bullet.

**

The word "argument" can be used in two ways. A dispute or debate between two people (who disagree about something) may be called an argument. But that is not exactly the way in which Mulder and Scully are using the word. Rather, they are using it to mean a set of premises that are presented together with a conclusion, where the premises are offered as support for accepting the conclusion (such as in the arguments that they give. Sometimes when people are having an argument, they will try to use arguments --but often they simply begin yelling or sulking and so forth.

Notice that the conclusion of Scully's argument is just the opposite of the conclusion of Mulder's argument! The conclusion of her valid argument is P. But the conclusion of Mulder's valid argument is ~P. We can see that both arguments are valid. But it cannot turn out that both P and ~P are true!

So now we have an interesting situation!

What this tells us, quite simply, is that at least one of the two arguments must fail to be sound. Recall that a sound argument is a valid argument that has all true premises. Both arguments are valid, but at least one of the arguments must have at least one false premise, making it unsound. Of course it may be the case that neither of the arguments is sound.

The question was whether personal identity is due to identity of a soul. Mulder's argument is valid and has the conclusion ~P. Descartes' argument is valid and has the conclusion P. We know that both arguments cannot be sound (because it cannot be that both P and ~P are true). That is, we know on the basis of logic alone that at least one of the two arguments must have a premise that is false. Otherwise, we would have to say that both P and ~P are true, and that is absurd!

Now recall that, for the purposes of logic, we are not primarily concerned with the truth or falsity of premises. While we do want to understand the difference between validity and soundness, it isn't our purpose in this logic class to go very far into the specific details of this discussion of personal identity and souls so as to determine soundness of one argument or the other. We might try to do that sort of thing in other philosophy courses. For our purposes here, it is enough that we have found two good examples of arguments that are drawn from discussions about an interesting philosophical topic.

*

If you are interested in more details about Mulder's argument, you can examine what Weirob said in her conversation with Sam Miller (a.k.a. Fox Mulder??) as it is to be found in the transcript of the recording of the conversation in John Perry's book, Personal Identity and Immortality. There is further discussion at http://personal.bgsu.edu/~mbelzer/indexdialogue.html. You will see that Mulder here has given a specific interpretation of Weirob's argument. Similar arguments can be found in the writings of the 17th century philosopher John Locke and and the 18th century philosopher Immanuel Kant and it has been developed by contemporary philosopher Sydney Shoemaker and others.

An argument like Scully's can be found in the writings of the 17th century philosopher Rene Descartes and has been developed by contemporary philosopher Richard Swinburne (in Personal Identity) and by others.

* Practice

13.1 Which of the two valid arguments --Mulder's or Scully's --would you tend to regard as unsound? Examine the argument you are inclined to regard as unsound. Which premise of that argument are you most inclined to regard as false? Explain briefly why you would suspect that premise to be false.

13.2 Use any of the rules of our system as needed to construct proofs for each of the following sequents.

72 (PvQ)>R, R>(S>T), P&S } T

73 ~~Q, ~R>~Q, (~~RvT)>P } P

74 ~P>S, (Sv~R)>(T>P), ~P } ~T

75 } P > (PvR)

76 } (R&Q) > (R&(PvQ))

77 P>(QvR), S&P, R>~T, T } Q

78 Pv~Q, ~Q>R, R>S, T&~S } P

13.3 Each of the following English arguments is valid, and in each case the sentences can by symbolized so that the conclusion can be derived from the premises using the Rules of our proof system. (a) Symbolize the premises and the conclusion for each of the following arguments, and (b) construct a derivation of the conclusion.

(a) If he kisses her nicely or gives her eight million dollars, she will marry him and she will be happy. He is not going to give her the eight million dollars, but he is kissing her nicely. So she will be happy.

(b) If she either can double-somersault three rows of seats or do logic proofs, she must be an amazing woman. The man who kissed her nicely may not be good enough for her if she is an amazing woman. Yet she definitely can double-somersault three rows of seats! So that man may not be good enough for her.

(c) Either personal identity through time is not due to identity of a soul or we do have knowledge of soul identity through time. We do not have knowledge of soul identity through time. Therefore, personal identity through time is not due to identity of a soul.

(d) Either some essential part of me is nonphysical or it is not possible for me to exist without a body. But it is possible for me to exist without a body. So some essential part of me is nonphysical.

13.4 Prove (without looking back) these sequents corresponding to the valid arguments given by Muller and Scully.

(a) K, K>(~PvS), S>C, ~C } ~P

(b) I, I>E, Nv~E, N>P } P