How We Know · ages 7–11
What are mistakes for?
You got it wrong three times. What, if anything, have you learned that a right answer would not have taught you?
Getting things wrong feels like a verdict, and it is not. It is information — but only under conditions, and the conditions are the interesting part.
A mistake teaches nothing on its own. Dewey’s point was that failure is only educational when someone goes back over it and works out what happened: what did I think would occur, what actually occurred, what did I not know? Skip that step and the same mistake returns on schedule, unchanged, which is why some people have the same argument for twenty years.
There is a second, sharper difference that is worth knowing about early. Being told the right answer removes the discomfort that makes you think. Getting it wrong, and then finding your way, produces the kind of knowing you can use on a problem the teacher has never seen. That is why Popper said we never prove ourselves right; we only find the edges of where we are wrong, and the edges are where the knowledge lives.
The honest limit: not every mistake is a lesson, and it is worth being clear-eyed about that rather than reciting a slogan. A mistake that hurts someone, or one that you conceal, teaches something different — mostly how to conceal things. The useful ones are the ones you notice, own, and change something in response to.
Try it
Try to learn something new while making no mistakes at all. Notice how long you can continue before the learning stops.
What do you think?
Do you think there is a right answer to this question?
Talk about it
- Is a mistake only useful if you notice it?
- Should you be praised for trying or for getting it right?
- Can a mistake ever be better than a correct answer?
Yes, but… — the arguments people actually make
Getting things wrong wastes time. Better to avoid mistakes.
Then give someone a task they cannot fail at and watch how little they learn. Avoiding all mistakes is the same as avoiding all new ground.
People who say mistakes are good are excusing failure.
That happens, and it is worth being firm about: a mistake is only worth something when it is noticed, understood, and not repeated. Otherwise it is just damage.
I'd rather be right the first time.
So would everyone. The question is what to do on the many days when you are not — and the answer determines whether the same mistake comes back next week.
What other philosophers think
- Karl PopperArgued we never prove ourselves right, we only find out where we are wrong. Error is not the failure of knowledge, it is the mechanism.
- AristotleSaid we become brave by doing brave things, which means we become brave partly by acting and correcting — virtue is learned by practice, not by instruction.
- John DeweyArgued that failure teaches only when it is thought about afterwards. A mistake you do not examine is just an accident.
- ConfuciusSaid that a wise person is not one who never errs but one who, noticing an error, does not repeat it.
If you want to go further
- Conjectures and Refutations — Karl PopperHis essays on knowledge as a process of eliminating error.
- Nicomachean Ethics — AristotleBook II, on how character is built by repeated action rather than by insight.
Most of these were written for adults, which is why it is worth reading them with someone older.