2.1. The Importance of Metaphors

Important developments often arise out of analogies. By comparing a topic you understand poorly to something similar you understand better, you can come up with insights that result in a better understanding of the less-familiar topic. This use of metaphor is called "modeling."

The history of science is full of discoveries based on exploiting the power of metaphors. The chemist Kekulé had a dream in which he saw a snake grasp its tail in its mouth. When he awoke, he realized that a molecular structure based on a similar ring shape would account for the properties of benzene. Further experimentation confirmed the hypothesis (Barbour 1966).

The kinetic theory of gases was based on a "billiard-ball" model. Gas molecules were thought to have mass and to collide elastically, as billiard balls do, and many useful theorems were developed from this model.

The wave theory of light was developed largely by exploring similarities between light and sound. Light and sound have amplitude (brightness, loudness), frequency (color, pitch), and other properties in common. The comparison between the wave theories of sound and light was so productive that scientists spent a great deal of effort looking for a medium that would propagate light the way air propagates sound. They even gave it a name "ether" but they never found the medium. The analogy that had been so fruitful in some ways proved to be misleading in this case.

In general, the power of models is that they're vivid and can be grasped as conceptual wholes. They suggest properties, relationships, and additional areas of inquiry. Sometimes a model suggests areas of inquiry that are misleading, in which case the metaphor has been overextended. When the scientists looked for ether, they overextended their model.

As you might expect, some metaphors are better than others. A good metaphor is simple, relates well to other relevant metaphors, and explains much of the experimental evidence and other observed phenomena.

Consider the example of a heavy stone swinging back and forth on a string. Before Galileo, an Aristotelian looking at the swinging stone thought that a heavy object moved naturally from a higher position to a state of rest at a lower one. The Aristotelian would think that what the stone was really doing was falling with difficulty. When Galileo saw the swinging stone, he saw a pendulum. He thought that what the stone was really doing was repeating the same motion again and again, almost perfectly.

The suggestive powers of the two models are quite different. The Aristotelian who saw the swinging stone as an object falling would observe the stone's weight, the height to which it had been raised, and the time it took to come to rest. For Galileo's pendulum model, the prominent factors were different. Galileo observed the stone's weight, the radius of the pendulum's swing, the angular displacement, and the time per swing. Galileo discovered laws the Aristotelians could not discover because their model led them to look at different phenomena and ask different questions.

Metaphors contribute to a greater understanding of software-development issues in the same way that they contribute to a greater understanding of scientific questions. In his 1973 Turing Award lecture, Charles Bachman described the change from the prevailing earth-centered view of the universe to a sun-centered view. Ptolemy's earthcentered model had lasted without serious challenge for 1400 years. Then in 1543, Copernicus introduced a heliocentric theory, the idea that the sun rather than the earth was the center of the universe. This change in mental models led ultimately to the discovery of new planets, the reclassification of the moon as a satellite rather than as a planet, and a different understanding of humankind's place in the universe.

Bachman compared the Ptolemaic-to-Copernican change in astronomy to the change in computer programming in the early 1970s. When Bachman made the comparison in 1973, data processing was changing from a computer-centered view of information systems to a database-centered view. Bachman pointed out that the ancients of data processing wanted to view all data as a sequential stream of cards flowing through a computer (the computer-centered view). The change was to focus on a pool of data on which the computer happened to act (a database-oriented view).

The value of metaphors should not be underestimated. Metaphors have the virtue of an expected behavior that is understood by all. Unnecessary communication and misunderstandings are reduced. Learning and education are quicker. In effect, metaphors are a way of internalizing and abstracting concepts, allowing one's thinking to be on a higher plane and low-level mistakes to be avoided.

Fernando J. Corbató

Today it's difficult to imagine anyone thinking that the sun moves around the earth. Similarly, it's difficult to imagine a programmer thinking that all data could be viewed as a sequential stream of cards. In both cases, once the old theory has been discarded, it seems incredible that anyone ever believed it at all. More fantastically, people who believed the old theory thought the new theory was just as ridiculous then as you think the old theory is now.

The earth-centered view of the universe hobbled astronomers who clung to it after a better theory was available. Similarly, the computer-centered view of the computing universe hobbled computer scientists who held on to it after the database-centered theory was available.

It's tempting to trivialize the power of metaphors. To each of the earlier examples, the natural response is to say, "Well, of course the right metaphor is more useful. The other metaphor was wrong!" Though that's a natural reaction, it's simplistic. The history of science isn't a series of switches from the "wrong" metaphor to the "right" one. It's a series of changes from "worse" metaphors to "better" ones, from less inclusive to more inclusive, from suggestive in one area to suggestive in another.

In fact, many models that have been replaced by better models are still useful. Engineers still solve most engineering problems by using Newtonian dynamics even though, theoretically, Newtonian dynamics have been supplanted by Einsteinian theory.

Software development is a younger field than most other sciences. It's not yet mature enough to have a set of standard metaphors. Consequently, it has a profusion of complementary and conflicting metaphors. Some are better than others. Some are worse. How well you understand the metaphors determines how well you understand software development.