This paper critically examines two arguments against the generic multiverse, both of which are due to W. Hugh Woodin. Versions of the first argument have appeared a number of times in print, while the second argument is relatively novel. We shall investigate these arguments through the lens of two different attitudes one may take toward the methodology and metaphysics of set theory; and we shall observe that the impact of these arguments depends significantly on which of these attitudes is upheld. Our examination of the second argument involves the development of a new (inner) model for Steel’s multiverse theory, which is delivered in the Appendix.

中文翻译：

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反对通用 MULTIVERSE 的两个论据

本文批判性地研究了反对通用多元宇宙的两个论点，这两个论点都归功于 W. Hugh Woodin。第一个论点的版本已经多次出现在印刷品中，而第二个论点则相对新颖。我们将通过人们对集合论的方法论和形而上学可能采取的两种不同态度来研究这些论点；我们将观察到，这些论点的影响在很大程度上取决于支持哪种态度。我们对第二个论点的检验涉及为 Steel 的多元宇宙理论开发一个新的（内部）模型，该模型在附录中提供。