Akademik

preface paradox
A writer says many things, p 1p n, 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 p 1p n is the set of things she asserted, she now seems to have contradicted herself, by assenting to each of p 1p n 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.

Philosophy dictionary. . 2011.