彩票悖论与序言悖论的同构性与统一解

The isomorphism of lottery paradox and preface paradox and their unified solution

彩票悖论和序言悖论都是关于合理接受的悖论,它们具有相同的悖论结构和悖论类型,也即具有同构性。然而,这两个悖论迄今没有一个公认的统一解。通过对彩票悖论进行同构变形,将其中的“信念”与“知识”的不一致转化为信念之间的不一致,从而使得序言悖论的预期似真度解悖方案亦可应用于彩票悖论。如果接受预期似真度解悖方案的相关预设,那么该方案就可视为彩票悖论与序言悖论的一个统一解。

Lottery paradox and preface paradox are both about the paradox of reasonable acceptance,they have the same paradox structure and paradox type,that is,they are isomorphic.However,there is no universally accepted unified solution to these two paradoxes.Through the isomorphic deformation of lottery paradox,the inconsistency between belief and knowledge is transformed into the inconsistency between beliefs,which makes the solution of expected truthlikeness of preface paradox can also apply to lottery paradox.If the people accept the presupposition of the solution of expected truthlikeness,it can be regarded as a unified solution of lottery paradox and preface paradox.