The question on potential infinity and actual infinity in the objective of cognition, involved by the two paradoxes, is still a challenge in academic community.
这两个悖论所涉及的认知对象之潜无限和实无限的问题，至今仍是学界研究的难题。
Actual infinity is a very important concept not only in mathematics, but in philosophy as well, which makes great contributions to the foundation and many theories of mathematics.
实无穷不管在数学上还是在哲学上都是一个非常重要的概念，对数学基础和许多数学理论都作出了很重要的贡献。
Actual infinity is a very important concept not only in mathematics, but in philosophy as well, which makes great contributions to the foundation and many theories of mathematics.
实无穷不管在数学上还是在哲学上都是一个非常重要的概念，对数学基础和许多数学理论都作出了很重要的贡献。
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