DEDUCTIVE CONSTRAINTS: PROBLEM CASES, POSSIBLE SOLUTIONS
Develops an extended version of the Preface Paradox to show how the counter-intuitive binary beliefs mandated by deductive consistency and deductive closure can cascade into massive irrationality. This highlights the Preface Paradox's severity and illuminates what is absurd about the beliefs required by deductive cogency Then shows that situations with Preface Paradox structure occur commonly in ordinary life. Finally, examines and rejects attempts to defend deductive constraints by explaining away our troublesome intuitions in Preface cases and in related cases involving the Lottery Paradox.
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