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Popper grants that the myth has a “kernel of truth” (p. 35). A fruitful discussion can be hard without a common framework. But it’s not impossible.
A discussion is fruitful if people learn. The more their views differ, the more they can learn from each other!
The myth Popper criticizes, in one sentence:
A rational and fruitful discussion is impossible unless the participants share a common framework of basic assumptions or, at least, unless they have agreed on such a framework for the purpose of the discussion.
By ‘framework’, Popper means an intellectual framework (as opposed to, say, certain attitudes like a desire to find truth).
Tradition is important, but:
[O]rthodoxy is the death of knowledge, since the growth of knowledge depends entirely on the existence of disagreement.