The Preface Paradox
Updated 2026-08-08
INTRODUCTION
English translation pending.
CORE DEFINITION
Introduced by David Makinson, the paradox notes that a careful author asserts each proposition in the text and simultaneously states in the preface that some of them are certainly wrong. Both attitudes seem rational, yet together they violate the requirement that a belief set be consistent. Probabilistic treatments resolve it by treating the preface statement as a belief about the set rather than about any particular sentence.
SCAFFOLDING EFFECT
Reduce cognitive load
- Hold both attitudes: defend each claim fully while admitting the whole set surely contains errors - Locate the level: distinguish confidence in a specific belief from confidence in your entire system - Stay corrigible: treat the admission of error as a sign of rigor rather than inconsistency
Anchor fast decisions
Each sentence is asserted on its own evidence, and the preface claim is supported by the author's record of past mistakes. Treating the two as beliefs about different objects keeps both rational, since confidence in individual claims need not equal confidence in the conjunction of all of them. The tension appears only when a strict consistency requirement is imposed on the whole set.
MINIMUM ACTION
In progress 0/1Practice this model in one real situation:
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Source support: Explicit
- en.wikipedia.orghttps://en.wikipedia.org/wiki/Preface_paradoxverified
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