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Mental Models

Lateral Thinking: Walk Around the Problem

Reframing: Question the Question

The wall blocking most problems is not a lack of effort but an unexamined assumption. Learn to find and drop the hidden 'of course' that holds a problem shut.

13 min Updated Jul 6, 2026

You already know the move: vertical thinking digs one hole deeper, lateral thinking starts a new hole. But how do you decide where to start digging? This lesson gives you the single most reliable answer. The most productive lateral move is almost never “try harder” — it’s finding the hidden assumption baked into the problem and asking, “what if that weren’t true?”

Let’s begin with a puzzle that makes the assumption bite before you even notice it’s there.

Before you read — take a guess

It takes 6 minutes to boil 1 egg in a pot. How long does it take to boil 6 eggs at once in the same pot?

The answer changes when you question the question

Think of a problem statement like a contract someone hands you to sign. The big print — “cut the complaints”, “attach the candle” — is what you read. The hidden assumptions are the fine print: unstated “of course…” clauses you never agreed to but obey anyway. You spend hours trying to satisfy a contract nobody actually wrote.

The wall in front of a stuck problem is rarely a lack of effort. It’s an unexamined “of course we have to do it this way.” Effort thrown at the wrong frame just builds a taller wall.

The move — call it questioning the question — has two steps:

  1. List the assumptions. Write out every “of course…” the problem quietly assumes. Say them aloud; they hide by staying silent.
  2. Reverse each one. For every assumption ask, “what if this weren’t true?” You are not looking for the answer yet — you’re opening doors. Vertical thinking will pick which door to walk through later.

Worked example. “How do we get more people to read our long report?” The buried assumptions: of course people must read the whole thing; of course it must be a report; of course reading is how they consume it. Question each: What if they only read a one-page summary? What if it were a five-minute video? What if a colleague briefed them out loud? Notice you generated four genuinely different problems — and you never once thought harder about the original one. You changed which question you were answering.

Pitfall. Questioning the question feels like cheating, so people skip step 1 and jump to brainstorming solutions to the original frame. Then they produce twelve variations of the same trapped idea. If you haven’t written the assumptions down, you haven’t questioned anything — you’ve just rephrased your cage.

The nine dots: the box was never in the puzzle

Here’s the puzzle that gave us the cliché. Draw a 3×3 grid of dots. Now connect all nine with four straight lines, without lifting your pen. Most people fail for a long time — and then feel slightly cheated when they see the answer.

The nine-dots puzzle is the origin of “think outside the box,” and it earns the phrase literally. The trap is a boundary nobody drew: solvers assume of course my lines must stay inside the square formed by the dots. Reread the instructions. There is no square. There’s no rule about staying inside anything. The nine dots merely suggest a box, and the solver, helpfully, imprisons themselves in it.

The solution works by letting the lines extend past the imagined edge of the grid. Once a line is allowed to shoot out beyond the outer dots and turn around in empty space, four lines connect all nine dots comfortably. The dots that felt like corners were only dots.

The lesson is not “draw longer lines.” It’s this: the box was never in the puzzle — it was in you. The constraint that stopped you was self-imposed, and you’ll re-impose it on every problem until you learn to check whether the wall you’re hitting is actually written down.

Tip:

Where does the box come from?

Almost every “impossible” problem has a nine-dots box: a limit you assumed so automatically you never noticed assuming it. Before you conclude a problem is unsolvable, hunt for your box. Ask, “Which rule am I obeying that nobody actually stated?”

Functional fixedness and the candle problem

Some assumptions aren’t about the problem — they’re about the objects in it. Meet the classic. On the table: a candle, a box of thumbtacks, and a book of matches. Your job: attach the candle to the wall so that when it burns, wax doesn’t drip on the floor.

Most people try to tack the candle directly (it’s too thick) or glue it with melted wax (it won’t hold). The elegant answer: empty the box, tack the empty box to the wall, and stand the candle on it. The box becomes a shelf.

Why is this hard? Because your mind filed the box under “container for tacks” and closed the folder. This is functional fixedness — the mind fixes an object’s normal, familiar function and becomes blind to its other uses. The box arrived as packaging, so it stays packaging in your head, even when it would make a perfect little shelf. (Duncker’s original experiment showed people solved it far faster when the tacks were presented outside the box, because then the box wasn’t already “being” a container.)

Real-world transfer. Functional fixedness is everywhere once you see it:

Object seen as……but also usable as
A credit card (for paying)A shim to slip a latch, an ice scraper
A brick (for building)A doorstop, a paperweight, a weapon in a lateral-thinking test
Idle server capacity (for your app)A product you rent to others — this is literally how cloud computing was born
A phone (for calls)A flashlight, a spirit level, a scanner, a payment terminal

Pitfall. Functional fixedness is sneaky because the “normal” use is usually correct. A box really is a good container. The skill isn’t rejecting the obvious function — it’s holding it loosely enough to ask, “and what else could this be?” People who over-apply this waste time reinventing uses for things whose normal use was fine. The trick is to reach for the second function only when the first one has you stuck.

Nail the definition

Pick the right option for each blank, then check.

Functional fixedness is when the mind an object's normal function and can't see its . The candle problem is hard because the box is seen only as a , not as a shelf you can tack to the wall.

Assumption reversal: break it on purpose

Questioning the question is a search. Assumption reversal is a power tool you point at that search. The recipe: take a core assumption about the problem and deliberately flip it to its opposite — even an absurd opposite — then harvest whatever workable ideas the flip exposes.

Think of it like turning a rock over to see what’s underneath. The reversed statement itself is usually useless (“a car with no wheels”). But the underside — the ideas the reversal shakes loose — is where the gold is.

Worked example — reinventing the restaurant. Core assumption: “a restaurant has a menu.” Reverse it: “a restaurant has no menu — the chef alone decides what you eat.” That reversal is not a plan; it’s a provocation. Now harvest:

  • A fixed daily tasting menu — you eat what’s freshest, no choosing. (This is a real, thriving format.)
  • The kitchen surprises you within a stated budget and dietary limits.
  • You tell the chef your mood and they compose the meal.
  • A rotating “chef’s whim” board that changes hourly with what’s in stock.

You reversed one small “of course” and out fell four viable dining concepts, several of which real restaurants run today. Note the shape: reverse → harvest → then evaluate. You don’t adopt “no menu”; you mine it.

Info:

Reversal is a spark, not a spec

The reversed assumption is almost always impractical on its face. That’s fine — its job is to jolt you out of the default frame, not to be the answer. Judge the ideas it produces, never the reversal itself.

The Reframe Lab

Time to run the whole move on a real problem. Below is a stuck situation with four assumptions baked into it. Your task: toggle assumptions off — drop them — and watch which solutions unlock. Some solutions only become available once you’ve stopped believing a particular “of course.” One solution comes from a deliberate provocation (PO, a de Bono tool you’ll meet properly next lesson). Play with it before reading on.

Reframe lab

The train is always late

The problem below looks stuck. It isn’t — you just can’t see past the assumptions hidden in how it’s phrased. Drop an assumption and watch new solutions light up. Nothing about the problem changed; only what you let yourself consider did.

The stuck problem

A town's commuters are furious that the morning train is often ten minutes late. The rail company has no money to buy faster trains or add services. How do you cut the complaints?

Hidden assumptions — drop one to open a door

Random-entry: force an unrelated word into the problem and harvest whatever new idea it jolts loose.

Solutions now in reach

Buy faster trains or add more services to improve punctuality.obvious
Publish an apology and a public punctuality target.obvious
Locked — an assumption is still in the way
Locked — an assumption is still in the way
Locked — an assumption is still in the way
Locked — an assumption is still in the way
Locked — an assumption is still in the way

2 of 7 solutions in reach — 0 assumption(s) dropped.

Right now you can only see the obvious answers — the ones that question nothing. This is where "just think harder" traps you: harder thinking only digs the same hole deeper. Try dropping an assumption instead.

Notice: you never made the train faster. Every new door opened because you dropped an assumption, not because you thought harder.

Look at what just happened. You never bought a single faster train — the one thing the original problem was screaming at you to do. Every fresh idea appeared the instant you dropped an “of course,” not when you concentrated harder. The company’s real problem was never the ten minutes; it was four unexamined assumptions wearing the ten minutes as a disguise. That is the whole game: effort was never the missing ingredient — permission was.

Not every wall is imaginary

Here’s where reframing over-promises, and where beginners get burned. Not every constraint is a false assumption. Some walls are real: physics, law, ethics, hard budgets. Two solid objects will not occupy the same space no matter how laterally you think. A candle that sets the wall on fire fails the brief, full stop. Spend an afternoon “questioning” gravity and you’ve wasted an afternoon.

The actual skill — the hard part — is telling a smuggled-in assumption from a genuine constraint. Smuggled-in assumptions are unstated, habitual, and social (“meetings are an hour,” “reports must be read whole”). Real constraints are stated, physical, legal, or ethical, and they don’t budge when you glare at them. Reframing works on the first kind and wastes your life on the second.

Sort these to feel the difference:

Which of these is a smuggled-in assumption you can challenge, and which is a real constraint you cannot wish away?

Place each item in the right group.

  • The project budget legally cannot exceed the amount that was approved.
  • The lines must stay inside the square formed by the nine dots.
  • The lit candle must not set the wall on fire.
  • A restaurant must have a printed menu.
  • The weekly meeting has to be a full hour long.
  • Two solid objects cannot occupy the same space at the same time.

Two more places reframing over-sells itself:

  • “Outside the box” as an empty slogan. The phrase has been said so often it now means nothing — a poster in a meeting room. Telling someone to “think outside the box” gives them zero help finding which box. Naming the specific assumption (“we’re assuming customers won’t pay upfront”) is worth a thousand slogans. We’ll take the slogan apart properly in lesson 5.
  • Dropping an assumption is generative, not a guarantee. Removing an “of course” opens a door. It does not promise the room behind it is any good. The menu-less restaurant might flop; the platform breakfast might be a logistics nightmare. Lateral thinking supplies the new starting points; vertical thinking still has to test them. Reframing without follow-through is just daydreaming with extra steps.
Warning:

The two-engine rule

Lateral thinking finds the door; vertical thinking checks whether the room is worth entering. Skip the second engine and you’ll pitch a hundred clever reframes that all collapse on contact with reality. Use both.

Recap quiz

Question the question

Question 1 of 40 correct

What actually blocks most stuck problems, according to this lesson?

Check your answer to continue.

Big picture

Reframing: question the question

  • Drop the hidden assumption
    • The move
      • List every "of course…"
      • Ask: what if it weren't true?
      • Open doors, don't pick yet
    • Classic traps
      • Nine dots: box is in the solver
      • Candle problem: box is a shelf
      • Functional fixedness: one use blinds you
    • Assumption reversal
      • Flip a core "of course"
      • Harvest ideas the flip exposes
      • Spark, not a spec
    • Where it over-promises
      • Some walls are real (physics/law/ethics)
      • "Outside the box" as empty slogan
      • Vertical thinking still has to test it

Where this goes next

Reframing is powerful but reactive — it waits for a problem, then hunts the assumption holding it shut. That’s a great habit, but it leaves a gap: what if you want to generate a fresh starting point on demand, before you’re even stuck?

That’s lesson 4, Provocation and Random Entry. You met a hint of it in the Reframe Lab — the PO move that rewrote the timetable so “late” disappeared. De Bono built deliberate tools for manufacturing new starting points out of thin air: provocative statements you don’t believe, and random words that jolt your pattern system off its worn track. Reframing removes a wall; provocation lets you start digging somewhere the wall was never in your way.

Mark lesson as complete