Monday, May 13, 2013
Friday, May 10, 2013
Desire – Thirty Years Later
Thursday, May 09, 2013
Pons Asinorum
Originally published in Philosophy Now magazine, no. 35, March/April 2002, page 48
Three travelers seek lodging for the night. They come upon a pension that charges 10 euros per person. It turns out that there is only one room available, but they don't mind sharing; so they pay the clerk 30 euros. When the proprietor returns, however, she decides that the guests should be given a discount for having to bunch up, so she summons the bellhop and hands him 5 euros to refund to them. Not being a completely honest fellow, the bellhop pockets two euros; this conveniently leaves one euro to be returned to each guest. Therefore each guest has now paid nine euros, for a total of 27 euros. But 27 plus the two in the bellhop's pocket = 29. What happened to the thirtieth euro?
When I first heard this puzzle, I was bedazzled. It seemed so simple; yet no matter how I turned it over in my mind, I could not come up with a solution. I even entertained the hypothesis that I must be dreaming, or under the influence of Descartes' evil daemon, "who has directed his entire effort to misleading me, [for] how do I know that I am not deceived every time I add two and three or count the sides of a square or perform an even simpler operation, if such can be imagined?" (Meditation One).
Soon, however, I came up with this surprising conclusion: There is no thirtieth euro! The travelers ended up paying 27 euros. The proprietor had 25, and the bellhop kept two. That's it. And yet ... I still could not shake from my head the notion that there was a missing euro. So it occurred to me that the puzzle could be conceived as a kind of illusion -- a calculative illusion, we might call it. An analogy can be drawn to a visual illusion, like the bent-stick-in-water, which is not really bent, but, even when one is fully knowledgeable of its straight shape, continues to appear bent at the waterline (due to the refraction of light). Just so, I now knew there was no thirtieth euro, but I couldn't dispel the mental impression that there was.
Finally I was able to dispel even the illusion. This came about precisely because of its refractoriness. I could not rid my mind of that thirtieth euro; there had to be a way to account for it. And so there is: For at the end, the proprietor has 25 euros, the bellhop two, and the guests three. Voila: 30 euros! So NOW the puzzle became: Why had there seemed to be a puzzle in the first place? Indeed, for some of my more logically adept friends and colleagues, there had been no puzzle about the 30th euro, and they were only puzzled about what was puzzling me. I can still experience a kind of Gestalt switching (as when viewing the picture of a vase and two facial profiles) between my puzzlement and my lack thereof. What makes for the difference?
The answer I have come up with is that this "puzzle" arises from a simple "mental mishearing": Where the situation at the end is that the guests have paid 27 euros, one might inattentively "hear" this as their now possessing 27 euros. Then indeed there would be a mystery (for the bellhop only possesses two, so where's the thirtieth?). But in fact at the end the guests only retain three euros of the original 30.
I have therefore passed through three stages: (1) puzzlement (indeed, astonishment), (2) knowledge, but with remaining unease or residual illusion, and (3) "total enlightenment" or "wisdom," with no puzzle or illusion extant (and even understanding why there had been puzzlement in the first place). The progression is instructive: From time to time life throws us for a loop, and, indeed, philosophy is in the very business of questioning fundamental assumptions. But sometimes, as with the three lodgers puzzle, we eventually discover a way to buttress our original conception of things; Wittgenstein considered philosophy itself to be one big faux-puzzle maker, which it was his calling to foil. However, the history of thought -- not to mention, the narratives of our individual lives -- is surely rife with cases of a new conception's replacing the old after some initial shock, such as the discoveries of pi, the stellar nature of the Milky Way, the absence of an ethereal medium, radioactivity, the expansion of the universe, the incompleteness of arithmetic, and so many others. So the truly philosophical task may be to discern which are the real and which the ersatz puzzles.
Which, for example, is the Anthropic Cosmological Principle? It seems that the various physical constants of our universe are exquisitely fine-tuned for the coming into being of ... us! The odds of this having come about by chance are said to be infinitesimal; ergo, we have empirical evidence of some (vast) intelligence and purposiveness (God?) pre-existing the universe. Is this a genuine problem for the secular mind?
Apparently not. Here is a homely analogy. Suppose you hit a golf ball into the air and it comes down in a dark forest. Well, no mystery there: Where it came down is where it came down. If we want to explain why it landed where it did, we would naturally look to physical laws and conditions. Now change the point of view: Pick a particular point hidden in the deep woods and challenge somebody to strike that precise location with the ball. We would expect only a Tiger Woods to attempt the feat, but even he would probably find it impossible.
Just so, the "fine-tuning" of nature that resulted in us may seem unlikely to the point of impossibility (sans an act of intentional design or creation), but the refutation of this "mystery" is that we are just "looking at things through the wrong end of the telescope": We pose the "problem" from the vantage of the end point, whereas causality works from the beginning, and then, whatever happens, happens. Thus, the "problem" needs no solution because it is not really a problem.
Yet there are others who see a deeper riddle posed by the constants of nature, and who consequently disparage the formulation above as the "Weak Anthropic Principle," or "WAP." Is there a Strong Anthropic Principle constituting a real puzzle? (Or would one just be a SAP to think so?) You will have to consider that for yourself outside the confines of this column.
Car Seats and the Absurd
Originally published in Philosophy Now magazine, no. 38, October/November 2002, page 51
The extra minute you take to secure your child into her car seat could be just what it takes to bring your whole family into the path of a Mack truck half an hour down the road.
But that is obvious. It is the cruel, rueful, and ironic face of the contingency of existence. And of course it can work the other way around: Had you not taken the extra minute to secure your child into her car seat, you might have driven right into the path of a Mack truck. What does this tell us? Only, one might suppose, that we do not know the future. It doesn't change the fact that the only rational way to conduct one's affairs is to consider the odds: Children in automobile accidents are more likely to survive if they are strapped into a car seat. Therefore it is rational, not to mention morally obligatory, to do this for your child, even though it is within the realm of possibility that there will be a freak coincidence of circumstances, which converts your caring action into a contributing cause of the very catastrophe you were attempting to avert.
Only ... further reflection leads me to make a more bizarre inference. Put aside for the moment our epistemological situation and consider the metaphysics. Do you grant the following? Most accidents where there is a child passenger and an adult who has been responsible enough to purchase a car seat and secure the child into it, will not be due to some such aggravating factor as the driver drunkenly weaving in and out of traffic or drag racing or the like. Rather, the scenario will more likely be one of encountering some other car which has such a driver, or of the first driver's doing something foolishly spontaneous, like miscalculating when the light was going to change, OR of his being momentarily distracted, as by the family dog wagging his tail in the driver's face at a bend in the road, etc. In sum, I assume that the typical accident involving a child in a car seat occurs because the car was in the wrong place at the wrong time. Accidents are the thing of a moment, and moments are conditioned as delicately as a house of cards.
But if that is so, then do we not arrive at a rather startling conclusion, namely, that it is not the freak coincidence, but in fact the norm that accidents involving a child secured into a car seat would not have happened at all if the child had not been secured into the car seat? The logic of my argument is that everything else would have remained the same ... ceteris paribus, to use a logician's term. And I think that is a reasonable assumption in most cases. For instance, your not taking an extra minute with the car seat (because you were rushed, say) would not in any way affect whether the driver of the Mack truck takes another drink, or runs the stop light, etc. So that truck would still be at the very spot it would otherwise have been had you taken the extra minute. Except that because you didn't, there would be no accident: Your car and the Mack truck would pass through the same space but at different times.
In other words, although your alternative behavior would indeed affect the whole universe given enough time, the vast majority of the universe would remain the same in the short term. It is like the ripples in a pond after you plunk the pebble in: They will eventually reach the far shore and make the frog croak, but at first a nearby fish will not even notice anything has happened. Just so, the fate of the Mack truck and its driver, and of all who would be affected by them in turn into the indefinitely far future, would not begin to alter until later, after the moment at which the accident would have occurred. Up until then, all else with the truck and driver would be identical, so the accident won't occur provided you are careless about the car seat.
Singing the praises of car seats because your child's life has just been saved by one seems, therefore, as odd as extolling the virtues of kidnappers because your child has just been released by one. It is understandable, of course; there is a certain psycho-logic to it since your relief makes you feel grateful. But in strictly logical terms ... it ain't, is it?
Nonetheless, it is still true that it is rational (and, again, surely also ethical, even morally obligatory) to strap the child in. That is because the epistemology of the human condition leaves us with no rational option for deciding what to do other than relying on known, general probabilities. And in this case they presumably tell us that in otherwise matched populations, the one employing car seats will suffer fewer casualties. You simply cannot outwit Mother Nature on this one.
I conclude that ... life is absurd. (Although it is perhaps also absurd to employ logical argument to arrive at such a conclusion. But then ... life is absurd!) For the summation of the above is that it is rational to use a car seat for the safety of your child, even though on any actual occasion when the car seat shows its effectiveness for that purpose, it has likely also occasioned the risk to which your child has been exposed. In short, the car seat (in any given case but not in general) brings about the need for itself. It sounds like a marketer's dream ... or a metaphysical wizard's "perpetual justification engine" ... or the answer to a theologian's prayers for a Necessary Being ... but it is really a kind of joke, akin to: "Why am I hitting myself on the head with a hammer? Because it feels so good when I stop!" Also, this realization seems to have no practical import, and yet it changes everything, like a Gestalt shift (as from the contour of a vase to two facial profiles).
The Car Seat Paradox REDUX
August 5, 2018
Note: The following essay is a much expanded consideration of the above puzzle from 2002. At that time I concluded that life is absurd. I still think life is absurd, but at least I am now able to offer a detailed explanation of why it is (nevertheless) rational to use car seats.
Note: Despite the puzzle, I reiterate in the strongest terms that I believe (for the reasons given) it would be irrational not to use a car seat, and I encourage everybody to use a car seat when conveying a child.
We atheists or agnostics and even some thoughtful or
compassionate believers know why it is ridiculous for the sole survivor(s) of
an airplane crash to thank God: What loving, all-powerful and omniscient God
would stand by, not to mention cause, a horrific event like this? Only an
extreme egotism would suggest our meriting such special regard (God has a plan
for me!) as to be spared the terrible fate that befell everyone else. Why not
instead curse a deity who is so cruel and capricious, or at least callous?
It may come
as a surprise, however, that it is also ridiculous to thank God (literally or
simply as an expression of emotion) that we strapped our child into a car seat when
she has been spared injury or death in an automobile accident. (And let us
suppose everyone else involved was also spared.) It certainly came as a
surprise to me when I had this thought many years ago, and I have struggled to
make sense of it ever since.
Here is the
basic idea. An accident while driving is typically a matter of bad timing
(whatever else it may also involve, such as carelessness or bad luck). The
smash-up occurred only because you entered the intersection at the exact moment
a drunk coming down the cross street ran the light. The dog chose to jump into
the front seat at just the moment you entered the bend. The deer leapt into the
road just as you were passing by the thicket that had hidden her from view. You
turned your attention from the road to your Google map just as the car next to
you started drifting into your lane because the driver was texting his boss.
And so on.
Meanwhile,
using a car seat takes a few moments. Here are instructions from a YouTube video:
To buckle the child you’re going to want to start with your harness straps nice and loose. Then you’re going to put the child’s arm through the hole. Make sure the shoulder strap is over their shoulder, and buckle between the legs. Do the same thing on the other side. … And now buckle the chest clip. But importantly keep the chest clip low. If you move it up to the right place right now, as you tighten your strap it’s going to get caught under the child’s throat, and that would not be comfortable. Now I’m going to take hold of the shoulder straps anywhere above the chest clip. I’m going to pinch them and pull firmly upward. See how I gathered all the slack out of the legs, out of the stomach and up to the shoulders? If I need to I can slide the chest clip down a little bit at this point. Now I’m going to take the tail at the bottom of the seat and I’m going to pull firmly. The I’m going to check. I’m going to pull upward again on the shoulder strap, checking that no slack comes up towards the shoulders. I’m going to put a finger at the collar bone and pull it away from the child’s body. One finger should fit. But if you can do a two-finger salute like this, that is too loose. So I have a little bit left to pull out from the tail, and now when I check – again, pull upwards – there’s no slack that came up. … Next I’m going to move the chest clip up so that the top of it is at the top of the armpits. I like to call it the tickle clip to remind you to run your fingers across the top and tickle the child’s armpits.
So what first occurred
to me was that an accident in which a child is saved by a car seat might very
well not even have occurred if the driver had not used a car seat. Why not, then, curse God (or your partner or the manufacturers of car seats or your
own conscientiousness or just your unlucky stars) for inducing you to spend so
much time making sure your child was properly strapped into the car seat, since
this served only to place your car in the wrong place at the wrong time?
But of course there is an obvious
reply. On some other occasion you might with equal likelihood, and for the same
reason of bad timing, have ended up in a
different accident if you had not
used a car seat. And this time – what is even worse – your child would not have
been protected and so been more likely to be injured or killed.
Well, OK: This sounds like a good
reason for people to use car seats. This is what makes it rational, perhaps
even morally obligatory, to use them. Nevertheless, I find something peculiar
about the situation. For one thing, it is not clear what bearing the
rationality of using car seats has on your emotional
reaction to your child being saved by
your having used a car seat. While it is true (or I will assume) that a society
in which people regularly use car seats has lower casualty figures for children
in moving vehicles, it still seems, by my reasoning above, that on any
particular occasion when a child is saved by a car seat, it might well or even
usually have been better if a car seat had not been used. After all, your
motivation for using a car seat is not public spirit. You are not first and
foremost trying to make society safer (as your motive might be if, say, you
sent your offspring off to war); you are trying to make your child safer. So how
could it be rational to be happy you had
used a car seat on the particular
occasion when it would have been better if you hadn’t, just because (as if by a
statistical hand) widespread use of car seats is beneficial to society?
I don’t buy, by the way, that you yourself would have been in a different accident with your child had
you not used a car seat and hence avoided this
accident. That’s just superstition. Most people do not get into an accident
when driving with their children. So you would be mighty unlucky if you not
only got into an accident while using a car seat but also would have gotten into one (on this or a
different occasion) if you had not used a car seat on this occasion.
Now, it is old news that a rational
action can lead to an undesired outcome. Rationality is what we rely on in
practical affairs precisely in the absence of certainty. What is rational to do
is what is the most likely to achieve
our ends under the circumstances; but this implies that sometimes things won’t turn
out as we want them to even when we behave rationally. It is irrational to
refuse to fly just because, in an exceptional case, an airplane will crash; but
if most flights crashed, it would be
better not to have boarded an airplane most of the time, and hence it would not be rational to fly for routine
purposes. What creates the air of paradox in the present case is that it is
better not to have used a car seat in most
of the cases when the car seat does exactly what we want it to. This is the rule, not the exception. How,
then, could it be rational to use a car seat?
The answer,
I now think, goes like this. What we want and expect a car seat to do is
protect our child in an accident. This is surely rational because car seats
have (I presume) been amply demonstrated to reduce the likelihood of injuries
to children in accidents. What is not
rational, however, is something different, namely, to use car seats in order to
prevent accidents. That is not
rational because there is no reason to think that using car seats is more
likely to prevent accidents than not using them. In particular, as we have
seen, the timing argument works equally well either way. Ergo Q.E.D.: It is
rational to use a car seat to protect your child in case of an accident, even
though if an accident occurs, it might well or even usually have been better
had you not used one.
Here’s another way to think about
the kind of situation I am talking about. There are actually two main ways that
using a car seat could help to protect your child. Only one of them is if you
are in an accident. An even better way is if the mere passage of time it takes
for you to strap that wiggly body into that complex array of straps causes you
to miss out on being in an accident in the first place. This means that when
you are expending time and effort in this way you are contributing to one of
the following consequences (although you don’t know which): (1) You will
narrowly miss being in accident; (2) You will be in an accident but the car
seat plays no further role (the child will be hurt or unhurt as much with as
without the car seat); (3) You will be in an accident and the car seat makes it
worse (I will omit the gruesome details); (4) You will be in an accident and
the car seat works as advertised, and intended and hoped, to spare your child
(greater) injury. All of these are highly unlikely.
Much more likely is that your using
a car seat makes no difference whatever: You won’t be in an accident when
driving with your child whether you use a car seat or not. So why bother using
a car seat? What is more, of the four scenarios wherein your use of the car
seat does make a difference, three of
the four cause an accident while only one (1) prevents it, and of those three,
one (3) even makes things worse in the case of the accident. So it looks like
using a car seat actually makes things worse!
But that last calculation is
cheating, since the likelihood of (1) equals the combined likelihood of (2)-(4): Your using a car seat is just as
likely to prevent as to cause an accident. So those cancel out. Furthermore,
among (2)-(4), one (3) makes things worse, one (4) makes things better, and one
(2) is neutral; so these too would seem to cancel out. However, this still
leaves the question: What is now left to tip the balance toward the rationality
of using a car seat? The answer is clear: the greater likelihood of (4) than
(3). A car seat is much more likely to help than to harm in an accident.
We are not home free yet. The
percentage of cases in which there is an accident involving a child in a car
seat is still very small. Why, then, go to all the expense of purchasing a car
seat and the trouble of using it? Is this just another capitalist scheme to
scare us into buying something we don’t need? No. The standard analysis of risk
provides the solution: We are concerned not only about the probability of an
event, but also the nature and magnitude of the event. It is very unlikely that
your house will burn down while you and your family are in it; but the
magnitude of such a loss counsels the relatively minor expense and
inconvenience of installing smoke detectors and testing them every week. Just
so, the death or injury of your child in an automobile accident is very
unlikely, but it would be a harm of such magnitude that you are wise to
purchase and use a car seat.
So we have managed to dispel any
suspicion that it is irrational to use a car seat. But this has not been my
concern in the first place. No, the wrinkle that wrinkles my brow is that it is rational to use a car seat. Why does
this perplex me? Because, as I keep saying, a car seat works as advertised in
an accident just in case its use was (more often than not) responsible for
causing the accident. And that’s not all: It remains rational (and probably
also obligatory from a moral point of view) to use car seats despite its
turning out to be the case that one’s happiness at having used a car seat in
the case of an accident where it worked as advertised is misplaced. This to me
has it all over Sisyphus in the absurdity department.
So I doubt that the logical
explanation of the rationality of using car seats will penetrate so deeply into
the psyches of even most of us who understand it to change our feelings (now
that we have been bitten by the bug of paradox). Speaking for myself, if I am
ever in an accident where a child is saved by my having used a car seat, I am
sure I will thank my lucky stars that I used it. I liken this phenomenon to visual
illusions, which will often persist even after we come to understand they are
illusions. For example, the parallel lines in the Müller-Lyer will likely forever appear of unequal
length, no matter how often we measure them with a ruler.
Of course
there is a legitimate source of joy
after the accident we have been discussing, namely, that the child has not been
hurt or hurt badly or killed. Even if you could kick yourself for having used a
car seat on this occasion (which would be irrational – just as well rail
against your partner for kissing you goodbye before you got into the car), since
you did use one and ended up in an
accident it is wonderful that she was not
hurt. Thank God!
But let me finally
reiterate that I do not conclude that
using a car seat is irrational. (If this article gains popular currency, I know
that it will be misread on a thousand occasions by those who merely skim it.)
Quite the contrary: I believe it would be irrational not to use one, and I
encourage everybody in the strongest terms to use a car seat when conveying a
child. But it is precisely this
that creates the sense of puzzlement, namely, that it is rational to use a car
seat despite its having the feature I
have been describing. So I do not dispute
that it is rational to use a car seat, but I marvel that it is.
Note to analytic
philosophers: Our discipline is riddled with tantalizing thought
experiments that have challenged both common sense and deeply held theories.
There is the Gettier
Problem, the prisoner’s dilemma, Mary the visual neuroscientist, Nozick’s
experience machine, Parfit’s split brain speculations, the Chinese Room, the
Nonidentity Problem, the Knobe Effect, and so on. The car seat paradox (so
to speak?) has the feel of a perfect thought experiment to me. Unfortunately I
have not been able to come up with any great issue it might speak to, so this
could be yet another illusion generated by the rationality of using car seats.
However, I am sure that the actual genesis of many of our favorite thought
experiments was not from wrestling with a philosophical issue but just from
having a puzzle suddenly occur to somebody. So I invite my colleagues to find
some application(s) of this puzzle-in-search-of-an-issue that would ultimately
earn it a place in the pantheon of Great Gedanken Experiments. Could this quirk
in the rationality of using car seats be, as it were, the next precession of the
orbit of Mercury that will change the universe of knowledge? My delusion of
grandeur doth entertain the prospect.
Alternatively, you are invited to argue or demonstrate that there is no quirk to begin with, for example, by coming up with a counterexample. That would be an act (other than using a car seat) that is rational despite the fact that, most of the time it achieves its purpose, it would be better if it had not been done, and yet does not strike us as odd for that fact. I have not been able to come up with one, nor (by my lights anyway) have my interlocutors; yet I certainly cannot rule out that there is a whole class of such acts. But even in that case, it may yet be possible to salvage something of value if the existence of this feature of some rational acts (viz., that, most of the time they achieve their purpose, it would be better if they had not been done) is felt to alter our conception of rationality in an interesting way, even if for no further reason than that it had never before been noticed.
Many thanks to Thomas Pölzler and Mitchell Silver for very helpful assistance in unraveling this puzzle (if not my puzzlement).