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preface paradox


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A writer says many things, p1pn, in the course of a book. In the preface she reasonably says that she knows the book contains mistakes, and is sorry for them. But given that she knows that p1pn is the set of things she asserted, she now seems to have contradicted herself, by assenting to each of p1pn and to the proposition that at least one of them is false. This is like asserting that Fred is tall and Jill is tall; Fred and Jill are the only people in the room; someone in the room is not tall. The structure is similar to the paradox of the lottery.

Subjects: Philosophy.


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