论文标题
反思原则，通用大型红衣主教和连续性问题
Reflection principles, generic large cardinals, and the Continuum Problem
论文作者
论文摘要
具有反射基本$ \ leq \ aleph_1 $或$ <2^{\ aleph_0} $的强反射原则，暗示连续体的大小为$ \ aleph_1 $或$ \ aleph_2 $或非常大。因此，强有力的反思原理应保持的规定似乎支持了连续体的可能大小的三分法。 在本文中，我们通过反思原则和一般大型红衣主教的相关概念来研究这种情况。
Strong reflection principles with the reflection cardinal $\leq\aleph_1$ or $<2^{\aleph_0}$ imply that the size of the continuum is either $\aleph_1$ or $\aleph_2$ or very large. Thus, the stipulation, that a strong reflection principle should hold, seems to support the trichotomy on the possible size of the continuum. In this article, we examine the situation with the reflection principles and related notions of generic large cardinals.
