Two philosophical applications of algorithmic information theory

Details Two philosophical applications of algorithmic information theory Two philosophical applications of algorithmic information theory

2003-02-26

arxiv.org/abs/math/0302333v2

Mathematics

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Written for DMTCS'03, Dijon, July 2003, 12 pages

Scientific paper

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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