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FREE LESSON · Thinking Skills Foundations

Finding the Hidden Assumption

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Lesson 02 · Thinking Skills Foundations

Finding the Hidden Assumption

Arguments often skip a step. You'll learn to find that hidden step, called the assumption. Then you'll check it by pretending it's false. You'll also learn to cross out answers the argument already says.

Before we start, how do you feel about this?

Your path today

  1. Learn itRead the idea, one bit at a time.
  2. See itWatch it done, step by step.
  3. Spot itTwo answers. Which one proves it?
  4. Try it togetherTry one small task with help.
  5. Your turnAnswer on your own.
  6. Check itA quick check of what stuck.
  7. Fix itTurn a mistake into a rule.
  8. Think backSay what got easier.

What's in this lesson

What you’ll learn

Assumption: an idea the argument needs but never says. The gap: the jump from the reason to the conclusion. Negation test: deny it and see if the argument falls.

Where it comes up

Finding the gap in an argument. Naming the missing idea that fills the gap. Crossing out something the argument already says.

Quick guide

Read the evidence, then the conclusion, and find the jump. Name the idea needed to make the jump. Pretend your answer is false. Does the argument fall apart?

Read the lesson text

teach

Teach: find the hidden step

An assumption is the missing step between the reason and the conclusion. The argument needs it but never says it.

Assumption questions ask what an argument needs but doesn't say. The trap is picking something the argument already says. The assumption is the missing idea. It has to be true for the reason to lead to the conclusion.

Every argument gives a reason and a conclusion. Often a step is left out. That missing step is the assumption: an idea the writer needs but doesn't say. 'Turf never needs mowing, so the school will save money' skips a step. It assumes turf doesn't cost more in other ways. Your job is to find that hidden step.

Find the gap first. Read the reason, then the conclusion. Ask: what has to be true to get from one to the other? The assumption is in that gap. It isn't the reason the writer gives. It's the quiet idea the argument stands on.

Check it with the 'what if it's false?' test. Pretend your answer is false. If the argument falls apart, you've found the assumption. If the argument still works, it wasn't needed, so it isn't the answer.

The most tempting wrong answer repeats a reason the argument already gives. Another trap is a fact that's true but not needed. Neither is an assumption. Keep only the unsaid idea that, if false, brings the argument down.

In the turf argument, no mowing really does save money. But the conclusion is about all the money the school spends. Putting in, cleaning and replacing turf could cost more than mowing. So the hidden assumption is that those turf costs are smaller than the mowing saved. If they're bigger, the school doesn't save money, even though turf never needs mowing.

Assumption

an idea an argument needs but never says.It is never written down, only relied on.

Evidence and conclusion

the reason the argument gives, and the claim it supports.The assumption bridges the gap between them.

Negation test

suppose the assumption is false and see what happens.If the argument collapses, the assumption is real.

Already-said trap

naming a written reason as if it were the assumption.If the argument already says it, it can't be the hidden assumption.
How to find an assumption
  1. What's askedThe school says artificial turf needs no mowing, so replacing the grass oval will save money. The word 'so' jumps from one avoided cost to total cost.
  2. The factsMowing costs disappear, but installing, cleaning and replacing artificial turf may add costs. The argument gives no comparison between those amounts.
  3. Work it outFill the gap: the turf's other costs are smaller than the mowing money saved.
  4. The trap'Artificial turf never needs mowing' is already said, so it can't be the hidden assumption. 'Pupils like turf' has nothing to do with saving money.
  5. The answerThe argument assumes that avoided mowing costs exceed the turf's extra costs; otherwise replacing the oval need not save money.

The moveFind the gap between the reason and the conclusion. Fill it with the missing idea. Then cross out anything the argument already says.

  • You can find the gap between evidence and conclusion.
  • You can name the missing idea that fills the gap.
  • You can use the negation test to confirm an assumption.

show

Show: a worked example

Watch how a strong thinker proves the answer, one step at a time.

Read the problem, then follow the steps. You'll see the answer, the trap, and what to do next time.

Full problem: find the hidden step

Question: Which of these is an assumption the argument depends on?

The Oval

A parent writes to the school newsletter:

'The school should replace the grass oval with artificial turf. Artificial turf never needs mowing, so over time the school would save money.'

Which idea does the argument need, but never say?

AThe turf's added costs will be less than the mowing costs saved.

BArtificial turf never needs mowing.

CEvery pupil would prefer turf to grass.

DThe school owns a mower already.

  1. Step 1 — Read the question

    Work out what kind of answer you need.

    The question asks for an assumption: an idea the argument needs but never says. So I find the gap between the reason ('never needs mowing') and the conclusion ('saves money'). Then I name the missing idea that fills it.

    • What the question asksKnowing what the question asks tells you what to look for.
    • What to avoidNaming the question type helps you dodge the most common mistake.
  2. Step 2 — Work it out

    Follow the steps from the facts to the answer.

    Find the gap, then fill it.

    • Reason: artificial turf never needs mowing.
    • Conclusion: the school would save money.
    • The gap: no mowing only saves money if turf doesn't cost more in other ways. Think about putting it in, cleaning it or replacing it.
    • Test it: if turf costs much more than mowing ever did, the school wouldn't save money. The argument falls apart.
    • Answer: the argument assumes turf's own costs are less than the mowing money saved.
    • Fact to stepEach step says which fact or rule it uses.
    • What each step showsEach step adds one thing we know, until the answer is clear.
  3. Step 3 — Spot the trap

    See why a tempting answer is wrong.

    Common wrong answer: 'The argument assumes that artificial turf never needs mowing.'

    Why it tempts you: it sounds important and uses the same words.

    Why it's wrong: the argument already says it. An assumption is something the argument doesn't say.

    Fix: the argument assumes turf's own costs are less than the mowing money it saves.

    • Why it tempts youA trap often uses real words from the question, so it looks right.
    • The fixThe fix shows which fact changes the answer.
  4. Step 4 — The answer

    Say the answer and the shortest proof.

    A. The argument assumes turf's own costs (putting it in, cleaning it, replacing it) are less than the mowing money saved. The argument jumps from 'never needs mowing' to 'saves money'. That jump only works if turf doesn't cost more in other ways.

    • The answerSay the answer first, then prove it.
    • The proofEvery step comes from the facts.
  5. Step 5 — The method

    What to remember for questions like this.

    An assumption fills the gap between the reason and the conclusion. Here the gap is about total cost. The argument gives one saving, no mowing, and concludes the school saves money overall. That only works if turf doesn't bring bigger costs of its own. Test it: pretend turf costs far more than mowing ever did. Now the conclusion is false, even though 'never needs mowing' is still true. Something the argument already says is never the assumption.

    • The methodThe steps you can use on any question like this.
    • The trapsMistakes to watch for next time.
  6. Step 6 — Next time

    What to do on your next question.

    In this questionNext timeWhy it helps
    Found the missing cost step.Write reason → ? → conclusion before reading the answers.The ? shows the idea the argument needs but doesn't say.
    Pretended the cost idea was false, and the argument fell apart.Try the 'what if it's false?' test on each strong answer.A real assumption holds the argument up.
    Crossed out 'never needs mowing' because it was already said.Cross out anything the argument already says.This avoids the most common trap.

compare

Compare: something already said vs the hidden assumption

The difference between what the argument says and what it silently needs.

Two students answered the same question. One followed the facts all the way. The other didn't.

The whole response

Already said

The argument assumes more bike racks would mean more students ride to school.

The hidden assumption

The argument assumes the new riders would otherwise have come by car. If they used to walk, there would be no fewer cars.

Point-by-point breakdown3
  • Said vs not saidWeaker: Names a reason that is already written down.Stronger: Names an idea the argument needs but never states.An assumption is always something the argument doesn't say.
  • The gapWeaker: Repeats the evidence.Stronger: Fills the gap from 'more riders' to 'fewer cars'.An assumption fills the gap between the reason and the conclusion.
  • Negation testWeaker: If it's false, the argument still works, so it isn't needed.Stronger: If it's false, the argument falls apart.A real assumption breaks the argument when it is false.

guide

Guide: try one together

One small step with help before you go solo.

Look back at the worked problem. Now try one like it.

A school says it will save money by using an app instead of paper notices. It won't have to pay for printing. What cost idea does this need, but never say? Then pretend your idea is false. Does the school still save money?

Want feedback on your own answer? Get started to practise with instant marking.

  • Find the gap between the evidence and the conclusion.
  • Name the missing idea that fills the gap.
  • Check it with the negation test.

Your turn

A school says replacing printed notices with an app will save money because printing costs will disappear. Which assumption is needed?

  • A. All parents own a phone.
  • B. The app costs less to set up and run than the printing it replaces.
  • C. Printed notices are read by every family.
  • D. An app can display colour pictures.

A council says its new bus route will shorten every pupil's trip because it passes the school. Which assumption does that claim need?

  • A. The bus is painted brightly.
  • B. Some pupils already walk to school.
  • C. For each pupil, using the new route takes less time than the present journey.
  • D. The route has more stops than the old route.

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