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Mental Models

Science is a Form of Imagination

Science relies on imagination, metaphor, and analogy to describe unknown phenomena, using models that approximate reality but must not be confused with it. Richard Feynman's chess analogy illustrates how scientists infer rules from observations, recognizing that unexpected discoveries can lead to deeper understanding.

THE IDEA

Science is a Form of Imagination

Perhaps you have had the opportunity to watch two very intelligent people talk. If one is trying to explain something to the other, you might see that they say things like, “Imagine this saltshaker is a three-dimensional object, right? But this napkin we’ll call a field, and we’ll put the saltshaker here. Now, if this fork represents gravity . . .”

When describing things that are unknown, it is inevitable that you need to rely on the language, images, and ideas of the known. In other words, you use metaphor, symbolism, and analogy. All of these can be thought of as the language of model-making and the practice of the “scientific imagination.”

Of course, as we’ve noted above, we should avoid the danger of confusing our analogy with reality. In the Lankavatara (a third- or fourth-century Mahayana Buddhist sutra), there is a passage that reads:

Be not like the one who looks at the finger-tip. For instance, Mahāmati, when a man with his finger-tip points at something to somebody, the finger-tip may be taken wrongly for the thing pointed at; in like manner, Mahāmati, the people belonging to the class of the ignorant and simple-minded, like those of a childish group, are unable even unto their death to abandon the idea that in the finger-tip of words there is the meaning itself, and will not grasp ultimate reality because of their intent clinging to words which are no more than the finger-tip to them.

So, bearing in mind that if we wish to point to something, we will need our fingers (words, models, analogies, metaphors, symbols), we must nevertheless not get too fixated on the finger, and keep focusing on the thing to which it’s pointing. With that caveat, let’s look at what Feynman had to say about analogies, especially when it came to communication and teaching (which, from his point of view, amount to pretty much the same thing!).

In a filmed 1985 interview from the BBC’s Fun to Imagine, Feynman once likened science itself to chess:

“One way that’s kind of a fun analogy to try to get some idea of what we’re doing here to try to understand nature is to imagine that the gods are playing some great game like chess. And you don’t know the rules of the game, but you’re allowed to look at the board from time to time, in a little corner, perhaps. And from these observations, you try to figure out what the rules are of the game, what [are] the rules of the pieces moving.

You might discover after a bit, for example, that when there’s only one bishop around on the board, that the bishop maintains its color. Later on you might discover the law for the bishop is that it moves on a diagonal, which would explain the law that you understood before, that it maintains its color. And that would be analogous to us discovering one law and later finding a deeper understanding of it.

Ah, then things can happen—all of a sudden some strange phenomenon occurs in some corner, so you begin to investigate that, to look for it. It’s castling—something you didn’t expect.

We’re always, by the way, in fundamental physics, always trying to investigate those things in which we don’t understand the conclusions. The thing that doesn’t fit is the thing that’s most interesting—the part that doesn't go according to what you'd expect.

Also we can have revolutions in physics. After you've noticed that the bishops maintain their color and that they go along on the diagonals and so on, for such a long time, and everybody knows that that's true; then you suddenly discover one day in some chess game that the bishop doesn't maintain its color, it changes its color. Only later do you discover the new possibility that the bishop is captured and that a pawn went all the way down to the queen's end to produce a new bishop. That could happen, but you didn't know it.”

With that simple analogy, he was able to elucidate the entire history of scientific evolution, of the way that science progresses over time, and the deeper underlying worldview that informs scientists’ approach to studying the world. He took something that people knew (chess) to describe something they didn’t (science’s overarching orientation toward nature) and connected them so that people could transfer their understanding from one to the other. In other words, so they could learn.

Feynman was noted as a brilliant communicator (when many physicists are known to be precisely the opposite) for a few reasons.

  1. He was enthusiastic and genuinely had a passion for his work. This inspired and excited others. His wonder and awe at the world was infectious and made others see the magic in even the most ordinary phenomena. Watch any Feynman interview or lecture and you never get the sense that he is bored of anything. Compared to the sense of tedium that many science educators bring to their material, it’s no wonder this gave him such an edge!

  2. He was able to use analogy, and use it wisely. Feynman was not an intellectual snob, and he met people where they were—if someone knew nothing of what he was talking about, he didn’t assume they never could understand; rather, he figured out what “language” they spoke and addressed them accordingly. This ability to use whatever tool will work is precisely what makes him a good scientist. Theoretical physicists work in strange realms; their world is mathematical, abstract, and probabilistic. They understand the value of converting these sometimes bizarre findings into more intuitive and concrete metaphors to better convey them to, well, the people who live in the real world!

  3. He was able to make science human—he used stories, narratives, and emotional appeals to make people care about what he was saying. Science is not some dead, neutral thing. Rather, curiosity and the thirst to understand is a deeply intimate human experience that digs right into the most poignant questions of life. To acknowledge this human element—rather than drily dismiss it—makes science something that belongs to everyone.

  4. Finally, as we’ve already seen, Feynman was good at not letting ego get in the way. The technical term may be “vibration,” but if he can make the point more quickly by saying “jiggling,” then there isn’t a reason not to. Let go of stiff, inaccessible language—it may be “right” and make you feel like an expert, but it’s useless if it communicates little other than your superiority. Language is there for the using! It’s allowed to be colorful and eccentric—especially if that eccentricity breaks apart stale old conceptions and invites real, genuine insight.

When to use it

  • Teaching a complex scientific concept to a non-expert by using a familiar analogy.

  • Avoiding over-reliance on a model when making decisions in business or policy.

  • Recognizing when a metaphor is limiting understanding and seeking a new perspective.

  • Communicating research findings to a broad audience effectively.

  • A teacher explaining quantum mechanics to high school students uses the analogy of a spinning coin to describe superposition.

  • A product designer uses the metaphor of a 'conversation' to design the user interface of a chatbot, helping users intuitively interact.

  • A scientist crafting a grant proposal uses storytelling and analogy to convey the significance of their research to non-specialist reviewers.

  • A manager explaining a complex organizational change to employees uses a 'ship navigating new waters' analogy to reduce resistance and build understanding.

FROM THEORY TO EVERYDAY LIFE

In practice

01

The Finger Pointing at the Moon

In the Lankavatara sutra, a man points at something with his finger; people mistake the finger for the thing pointed at. Confusing words and models with reality is dangerous.

02

Feynman's Chess Analogy

Feynman likened science to watching a chess game without knowing the rules. By observing moves, we infer rules, sometimes discovering unexpected phenomena like castling, leading to revolutions in understanding.

03

Feynman's Chess Analogy for Science

In a 1985 BBC interview, Richard Feynman compared science to watching a chess game where you don't know the rules. You observe the board and infer the rules of movement, like bishops moving on diagonals, but then unexpected moves (e.g., castling or pawn promotion) can cause a revolution in your understanding. Science progresses through observation, hypothesis, and revision.

04

The Finger Pointing at the Moon (from Lankavatara Sutra)

The sutra warns against mistaking the finger (words, models, analogies) for the thing being pointed at. It emphasizes that we should not cling to the models themselves but use them as tools to perceive the underlying reality. This is a caution against confusing our representations with the actual phenomena.

05

Everyday Objects as Models

When explaining abstract concepts, people often use familiar objects: a saltshaker as a three-dimensional object, a napkin as a field, a fork as gravity. Using tangible symbols to represent intangible ideas is a core aspect of scientific imagination.

✳

A MOMENT TO REFLECT

Put it to work.

  1. How can you ensure you don't mistake your mental model for reality when solving a complex problem?

  2. When was a time you used an analogy that helped you understand a difficult concept? How did it work?

  3. In what areas of your life might the finger-pointing analogy apply—where are you focusing on the finger instead of the moon?

  4. In what areas of your life do you rely on analogies that might be limiting your understanding? How could you challenge them?

  5. Think of a complex concept you struggle to explain. What familiar metaphor could you use to make it more accessible?

  6. Recall a time when a mental model you held turned out to be incomplete or incorrect. How did you revise your understanding based on new evidence?

References

  1. The Lankavatara Sutra — Unknown
  2. Fun to Imagine — Richard Feynman (1985)
  3. Fun to Imagine (BBC interview) — Richard Feynman (1985)
  4. Lankavatara Sutra — Unknown (Mahayana Buddhist) (350)

CONTINUE THE CONVERSATION

Source texts

  • Richard Feynmans Mental Models by Peter Hollins
  • Richard Feynmans Mental Models by Peter Hollins
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