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arXiv math/0302333math.HO
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算法信息论的两个哲学应用

Two philosophical applications of algorithmic information theory

G. J. Chaitin

摘要:

两个哲学的应用程序大小的复杂性的概念进行了讨论。首先,我们考虑了程序大小的复杂性对数学是否被发明或发现的影响,即,是经验的还是先验的其次,我们提出算法独立性的概念揭示了存在的问题以及我们的经验世界如何被划分为单独的实体。

英文摘要:

Two philosophical applications of the concept of program-size complexity are discussed. First, we consider the light program-size complexity sheds on whether mathematics is invented or discovered, i.e., is empirical or is a priori. Second, we propose that the notion of algorithmic independence sheds light on the question of being and how the world of our experience can be partitioned into separate entities.

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