Read Surfaces and Essences: Analogy as the Fuel and Fire of Thinking Online
Authors: Douglas Hofstadter,Emmanuel Sander
Obsession thus tries to exploit every cue coming from the environment. Otherwise put, the source of an obsession will give rise to a cornucopia of analogies applying to situations of every possible sort, and at the same time it will tend to drown out all competing analogies. The dark thoughts of the previous paragraph, for instance, all come from analogies to death, and each one is perfectly justifiable. But they clearly are just a few among a myriad possible ways of perceiving the situations described. Although such driven analogies make a certain degree of sense, nonetheless, when one stands back, they sometimes seem quite forced — so much so that they aren’t really convincing. And yet, the boldness and intensity with which an obsession invariably scans the world in search of fresh instances can occasionally give rise to new and insightful thoughts, even if this is the exception rather than the rule. Indeed, an avid quest for analogues of a given phenomenon increases one’s chances of coming across important new perspectives that, without the obsession’s driving force, would never see the light of day. If you try the same key in a thousand different locks, perhaps one time it will work.
It’s almost impossible to imagine someone coming up with a revolutionary new insight without being steeped in the domain in an obsessive or near-obsessive manner. But since we are encroaching on
Chapter 8
’s discussion of scientific discovery, suffice it to say for the moment that great physicists, great mathematicians, and great scientists of any stripe are invariably involved with great passion in their discipline. Louis Pasteur once famously observed that “Chance favors the prepared mind”, and obsessed minds are nothing if not prepared! Were their owners not passionately obsessed, they would never be able to spot connections that for a long time had escaped the eyes of all their colleagues. This brings us back to the idea, considered in the previous chapter, that creativity cannot be turned on and off with a simple switch: in order to come up with creative analogies, one has to be possessed by an idea.
Let us momentarily recall Archimedes’ “Eureka” moment in his bathtub. To understand how this discovery was made, one has to take pressure into account — and here we don’t mean the pressure exerted by the liquid on all objects immersed in it, but the pressure exerted by the monarch on his faithful servant Archimedes. It’s not hard to imagine that in those days, it was not looked upon kindly if a royal request was not
met, and thus one can easily imagine poor Archimedes pacing up and down, racking his brains for any possible way to get a handle on the volume of the damned crown. He would start seeing volumes everywhere, volumes where other people see nothing of the sort. Thus starting with the idea that a
crown
has a volume, he might soon slide to the idea that a
door
has a volume, then that a
chair
has a volume, that an
animal
has a volume, that a
person
has a volume, that
I myself
have a volume, that
parts of my body
have various volumes, that
the water that I displace in my tub
has a volume… Aha! That’s it!
Obsessions bring out curious connections that no one would dream of otherwise. This is reminiscent of a maxim originated by the psychologist Abraham Maslow: “If the only tool you have is a hammer, it is tempting to treat everything as a nail.”
As a high-school student, J. had such a “hammer”, for he was obsessed by pinball machines, playing on them several hours each day. Getting higher and higher scores assumed increasing importance in his life, and suddenly one day he saw every human life as the trajectory of a ball in a pinball machine. His analogy rested on the vision of life unfolding in the same random and unpredictable way as the ball rolls. Birth, mapped onto the ball’s launch, was followed by a tumultuous life full of swerves and traps, corresponding to the ball’s bounces. At all moments there was a risk of perishing, and death was inevitable, whether the playing had been brilliant or mediocre.
K. was a devoted rider of horses; she lived among them and adored them. Her understanding of the human world was rooted in her understanding of the equine world. Her profound “horse sense” constituted the key allowing her to unlock all the complexity of human relations, even convincing her that her insights into humanity were deeper than those of other people around her.
L. was a dog-fancier from earliest youth, and he based his social relations, including quite successful business connections, on rapid intuitive links that he made between each person he met and a selected breed of dog. Into each new acquaintance he read character traits that came along with their “breed”, and on that basis he made all his decisions about how to treat friends and colleagues. L. thought of himself as a Saint Bernard, and he had friends and colleagues whom he saw as poodles, bulldogs, German shepherds, fox terriers, and so on.
M., a physics graduate student, was so deeply plunged into the world of particles that he built his understanding of social relations on how particles interacted. Even very recondite quantum phenomena (such as quasi-particles, superconductivity, virtual exchanges, and renormalization) had their counterparts in human relations.
N., when a teen-ager, fell in love with golf. In her parents’ yard, she made an eighteen-hole course and spent many hours playing on it each week. Her days and nights were profoundly impregnated by the vocabulary and imagery of golf: irons,
woods, putters, balls, greens, par, birdies, eagles, bogeys, sand traps, fairways, and so forth. During this period of her life, wherever she went, N. would see, in every lawn or grassy knoll or meadow that she passed, a potential hole or putting green. When her family moved to Switzerland for a year, every car trip in the surrounding countryside was the occasion for her to fantasize golf courses wherever she went.
A few years later, N.’s flame for golf was replaced by no less ardent a flame for photography. Barely weaned from her golf mania, she turned into a photo maniac. Every landscape, every scene, every gesture or expression of everyone she met was caught in stop-motion in her mind and framed inside various possible rectangles.
Pinball machines were for J. what horses were for K., what dogs were for L., and what particles were for M. Each of their domains provided a rich wellspring of analogies, and each individual grounded their personal model of humanity in these analogies. All of these individuals were obsessed, and each one benefited, in some fashion, from their obsession. And just as we can move from one city to another, so we can move from one obsession to another, as the case of N. shows.
For outsiders who hear about such extensive, systematic, and long-term families of analogies for the first time, they may sound unnatural and somewhat weird. How can human beings, in all their richness, be understood by invoking images of mysterious invisible particles, balls in pinball machines, or horses or dog breeds? It sounds like imagination given free rein and running wild. It even suggests that an analogy can be drawn between virtually anything and anything else, provided that some kind of obsession lurks behind it all, acting as the driving force.
And indeed, there are resemblances to be exploited wherever one’s gaze falls. As the logician and philosopher Nelson Goodman observed, any two situations have an arbitrarily large number of properties in common. For instance, a crown and a human body have in common the characteristic of not being located exactly one mile away from the center of the sun, nor at 1.1 miles, nor at 1.2 miles, and so forth. Although this remark undoubtedly has philosophical relevance, its psychological relevance is minimal, since it’s obvious that humans do not look at all possible properties of all things that they look at — just a tiny fraction of them. For example, no one cares about the fact that Queen Elizabeth’s crown is not located at exactly
π
miles from the center of the sun.
Nonetheless, the incredible fluidity of the notion of
similarity
allows people to come up with connections between entities that
a priori
would seem utterly unrelated, simply because obsession-driven hunts for resemblance always wind up finding results. The fruits of such avid searches, however, are not random or arbitrary. A passion for horses or dogs does not instantly turn these animals into sources for analogies that yield insights into triangle geometry, quilt design, fly-fishing, or who knows what else. On the other hand, a
double
obsession could surely give rise to such analogies. That is, a simultaneous fanatic for, say, Euclidean geometry
and
for fly-fishing would doubtless find plenty of phenomena in these two domains on which to found analogies, for in this case the search would be intense on both sides.
Whenever someone’s passion for something increases, their personal likelihood of analogy-making (or analogy-finding) goes up. The following story shows how a young man immersed himself to excess in the world of a particular video game. From this intense experience he drew a significant harvest of analogies, showing how far a profound obsession can carry someone.
T. bet a friend that he would be able to beat him in Pac-Man, the famous video game of the 1980s, in which the player is represented on the screen by a yellow circle with a wide-open mouth. This quaint old icon seduced T. and several of his friends, and as they grew increasingly sucked into the Pac-Man world, they spent ever vaster amounts of their time playing. For hours every day and even more hours every night, T. would sit at his computer and play and play at this game.
To do well in Pac-Man, one has to avoid getting eaten by four enemies called “ghosts”, and of course the goal is to acquire as many points as possible. There are two types of pill that the player can swallow, and one of them makes ghosts edible for a short time. If possible, one wants to eat all four ghosts, since the second ghost is worth twice as much as the first one, the third one four times as much, and the fourth one ten times as much. Sometimes a fruit icon will appear at random on the screen, and swallowing it will confer special advantages such as extra points, higher speed, a temporary invulnerability, or the doubling of all one’s points until the next stage starts.
T.’s days and nights were so steeped in Pac-Mania that he came to see all of life through the filter of this game. It may seem odd, but he formulated what amounted to a whole philosophy of life thanks to a long series of analogies he made while playing. Herewith follow fifteen of T.’s Pac-Man–based maxims:
(1) In Pac-Man, one endeavors to eat one’s prey and to avoid being eaten by predators. T. observed that in real life as well, some people are stronger than you and some are weaker. Thus
life is a pecking order in which everyone eats smaller beings and is eaten by larger ones
.
(2) In Pac-Man, one continually jumps back and forth between being a pursuer and a pursuee; indeed, whenever one swallows a certain type of pill, all of one’s pursuers instantly turn into prey. So T.’s second motto was:
to beat an enemy, first you have to weaken it
.
(3) Whenever a ghost is a predator, it can pursue you without stopping, but whenever it is edible, it flees the moment you approach it. T. thus learned that people adjust their behavior to the exigencies of the moment and that
even big hoodlums dash for cover whenever they meet their match
.
(4) The more skilled and better-trained you are, the less likely you are to get eaten, and the more likely you are to be able to eat others. A novice, however, no matter how lucky, will never get very far. T. learned from Pac-Man that
in order to excel, you have to work hard
.
(5) T. noticed that in some games he never got any fruit, while in others it was abundant. He thus enjoyed happy occasions on which fortune smiled on him and bitter ones on which he constantly had to fend for himself. He philosophized thus:
in life, some people have all the luck while others have none
.
(6) The most flagrant type of unfairness in Pac-Man is the fact that eating a cherry doubles all one’s future points. Thus anyone who has eaten a cherry can get a pretty decent score without being a very strong player, whereas without that boost, you have to take big risks and fight very intensely. T. generalized this observation to the world of people:
some people are born with a silver spoon in their mouth, while others have to sweat their whole lives through
.
(7) Taking risks is indispensable, because otherwise one misses all one’s chances to raise one’s score. Playing in a risk-free way assures you of a mediocre outcome. So T. rediscovered for himself the old proverb
nothing ventured, nothing gained
.
(8) Risks don’t always pay off. Anyone who obtains a very high score has taken risks, but players who take risks and who are every bit as skilled as their rivals often die. They pay dearly for their boldness. And so T. discovered how merciless the world is, which is to say that
bravery and death go hand in hand
.
(9) Sometimes it looks as if eating a ghost will pay off big, but at the last moment the ghost catches you off guard and turns into a predator, devouring its former pursuer. Everything flips in a split second. T. learned that
taking too big a risk can turn your world upside down
.
(10) T. had experiences in Pac-Man in which hesitating just a tenth of a second cost him everything. It’s not enough to make good decisions; you’ve got to be able to make them on a dime. T. concluded that
life doesn’t give you second chances
.
(11) T. retained a bitter memory of games that were extremely promising but where just a moment of distraction made him slip into the clutches of defeat in just a few seconds. He saw that
one moment of carelessness, and all your hard work can go up in smoke
.
(12) Sometimes a delicious fruit would appear when the ghosts were edible as well, but when T. tried to eat them all, he usually wound up with nothing instead of a grand feast. Thus he was led to the credo that
you shouldn’t try for too much
.
(13) Sometimes T. took extreme risks and perished when, had he been more restrained, he would have won fewer points but would have survived. In this manner, he learned that
a bird in the hand is worth two in the bush
.
(14) Whether madly pursuing prey or rapidly fleeing from a predator, T. chose his direction by paying close attention to the distances involved. But sometimes much better results came when he headed off in precisely the wrong direction. In this way, Pac-Man taught T. that
the shortest path is not necessarily the best path
.
(15) There were times when the ghosts’ movements were such that no matter what he did, T. simply was done for. He learned that
although one is alive now, death may be only moments away
.