A Curry paradox about truth is generated by the following sentence, written on the board in room 101:

• If the sentence on the board in room 101 is true then 1 ≠ 1.

A Curry paradox about validity is generated by the following argument, written on the board in room 102:

• The argument on the board in room 102 is valid. Therefore, 1 ≠ 1.

Though the sentence and the argument generate Curry paradoxes, they also generate more basic paradoxes, in a sense to be made clear. I argue that if we solve these more basic paradoxes, we have solutions to both kinds of Curry paradox. The positive proposal is in part inspired by a brief remark of Gödel’s, that the paradoxes might appear “as something analogous to dividing by zero”—so that the concepts of truth and validity, for example, are everywhere applicable except for certain singular points or singularities. A second central claim is that 'true' and 'valid' are context-sensitive predicates. This contextual-singularity approach to the Curry paradoxes applies also to other paradoxes of truth, validity, denotation, and predicate-extension. So a more general aim of the paper is to provide a unified response to semantic paradox.

关于真理的 Curry 悖论是由以下写在 101 房间的黑板上的句子产生的：

• 如果 101 房间黑板上的句子为真，则 1 ≠ 1。

关于有效性的 Curry 悖论是由以下论证产生的，写在 102 房间的黑板上：

• 102 房间板上的论点是有效的。因此，1 ≠ 1。

尽管句子和论点产生了 Curry 悖论，但它们也产生了更基本的悖论，在某种意义上要明确。我认为，如果我们解决了这些更基本的悖论，我们就可以解决这两种库里悖论。积极的建议部分受到哥德尔的简短评论的启发，即悖论可能表现为“类似于除以零的东西”——因此，例如，除了某些奇异点或奇点。第二个中心主张是“真”和“有效”是上下文相关的谓词。这种针对 Curry 悖论的上下文奇点方法也适用于其他关于真值、有效性、外延和谓词扩展的悖论。因此，本文的一个更普遍的目标是对语义悖论提供统一的回应。