To begin with, any child educated in the usual way could not fail
to answer the second of my imaginary questions in the affirmative.
He will say, "That is certainly a broken stick." I very much doubt
whether Emile will give the same reply. He sees no reason for
knowing everything or pretending to know it; he is never in a hurry
to draw conclusions. He only reasons from evidence and on this
occasion he has not got the evidence. He knows how appearances
deceive us, if only through perspective.
Moreover, he knows by experience that there is always a reason for
my slightest questions, though he may not see it at once; so he has
not got into the habit of giving silly answers; on the contrary,
he is on his guard, he considers things carefully and attentively
before answering. He never gives me an answer unless he is satisfied
with it himself, and he is hard to please. Lastly we neither of
us take any pride in merely knowing a thing, but only in avoiding
mistakes. We should be more ashamed to deceive ourselves with bad
reasoning, than to find no explanation at all. There is no phrase
so appropriate to us, or so often on our lips, as, "I do not know;"
neither of us are ashamed to use it. But whether he gives the silly
answer or whether he avoids it by our convenient phrase "I do not
know," my answer is the same. "Let us examine it."
This stick immersed half way in the water is fixed in an upright
position. To know if it is broken, how many things must be done
before we take it out of the water or even touch it.
1. First we walk round it, and we see that the broken part follows
us. So it is only our eye that changes it; looks do not make things
move.
2. We look straight down on that end of the stick which is above
the water, the stick is no longer bent, [Footnote: I have since
found by more exact experiment that this is not the case. Refraction
acts in a circle, and the stick appears larger at the end which is
in the water, but this makes no difference to the strength of the
argument, and the conclusion is correct.] the end near our eye
exactly hides the other end. Has our eye set the stick straight?
3. We stir the surface of the water; we see the stick break into
several pieces, it moves in zigzags and follows the ripples of the
water. Can the motion we gave the water suffice to break, soften,
or melt the stick like this?
4. We draw the water off, and little by little we see the stick
straightening itself as the water sinks. Is not this more than
enough to clear up the business and to discover refraction? So it
is not true that our eyes deceive us, for nothing more has been
required to correct the mistakes attributed to it.
Suppose the child were stupid enough not to perceive the result of
these experiments, then you must call touch to the help of sight.
Instead of taking the stick out of the water, leave it where it is
and let the child pass his hand along it from end to end; he will
feel no angle, therefore the stick is not broken.
Public-domain text, read in full here on John Shaqi.
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