可建构性公理的多元宇宙观
A multiverse perspective on the axiom of constructiblity
摘要：
我将论证，通过最大化位置，通常持有的V不等于L，它拒绝了可构造性公理V = L，因为它是限制性的，通过假定序数的绝对背景概念，隐含地在集合论哲学中的多元主义辩论中采取了立场。相反，在向上可扩展的集合概念上，这个论点似乎失去了它的力量，因为有各种事实表明，在更大的集合论宇宙中，集合论的模型一般都可以扩展到V = L的模型。
英文摘要：
I shall argue that the commonly held V not equal L via maximize position, which rejects the axiom of constructibility V = L on the basis that it is restrictive, implicitly takes a stand in the pluralist debate in the philosophy of set theory by presuming an absolute background concept of ordinal. The argument appears to lose its force, in contrast, on an upwardly extensible concept of set, in light of the various facts showing that models of set theory generally have extensions to models of V = L inside larger set-theoretic universes.
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