Wittgenstein writes in On Certainty:
"And it would be just the same if the pupil cast doubt on the uniformity of nature, that is to say on the justification of inductive arguments. - The teacher would feel that this was only holding them up, that this way the pupil would only get stuck and make no progress. - And he would be right. It would be as if someone were looking for some object in a room; he opens a drawer and doesn't see it there; then he closes it again, waits, and opens it once more to see if perhaps it isn't there now, and keeps on like that. He has not learned to look for things.
"But imagine people who were never quite certain of these things, but said that they were very probably so, and that it did not pay to doubt them. Such a person, then, would say in my situation: "It is extremely unlikely that I have ever been on the moon", etc., etc. How would the life of these people differ from ours? For there are people who say that it is merely extremely probable that water over a fire will boil and not freeze, and that therefore strictly speaking what we consider impossible is only improbable. What difference does this make in their lives? Isn't it just that they talk rather more about certain things that the rest of us?"
And that is essentially the position of the Popperians: they use induction just like the rest of us do, but they simply insist on talking about it in an obscure and convoluted fashion.
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