Cognitive Reflection, explained.
Cognitive reflection is the habit or ability to inspect an intuitive answer before accepting it, especially when that answer conflicts with the problem’s constraints.
Why it happens
The combined price and the price difference are two separate requirements. Calling the spoon 20 gives a mug of 120 and a total of 140, so that appealing answer does not satisfy the total.
Cognitive reflection involves checking an appealing initial response against the constraints of the problem.
Read the result
Try substituting each proposed answer into both conditions. A spoon of 10 and a mug of 110 meet the total of 120 and difference of 100. Knowing this puzzle already changes what the exercise asks of you.
A worked example
Checking a purchase estimate
A combined purchase costs 120 and the larger item costs 100 more.
Write x for the smaller item, making the larger x+100.
Solving 2x+100=120 gives x=10; verification catches the shortcut that ignores one constraint.
OPTIONAL DEEPER DETAILGo deeper: inside the model
Inside this model
This original arithmetic variant offers 10, 20 and 100 coins. Substitution into both equations verifies 10; it does not assign an intelligence score.
Where this idea is useful
A practical use
Checking the total and the difference catches an attractive price estimate before it enters a budget.
A common misconception
“A wrong first answer reveals low intelligence.”
One brief arithmetic item is affected by experience and interpretation and cannot establish general ability.
What this explanation leaves out
- One familiar puzzle cannot measure general ability. Language, schooling and practice change performance.
Must good thinking always be slow?
No. Reflection is useful when a quick answer deserves checking; many practiced responses are accurate and efficient.
Which familiar estimate would benefit from a quick substitution or boundary check?
Associated thinkers
Further reading
Explore the original research or the teaching reference behind this experiment.