Le paradoxe de Richard : une solution kolmogorovienne

Dialogue 54 (2):209-224 (2015)
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Abstract

In this article, I study Richard’s paradox, and I consider several of its solutions. I then restate the paradox using Kolmogorov’s theory of complexity. Taking as a starting point Chaitin’s demonstration that Kolmogorov’s understanding of «complexity» is only relative, I put forth a new solution to the paradox.

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10.1017/s0012217315000323

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Extensions of some theorems of gödel and church.Barkley Rosser - 1936 - Journal of Symbolic Logic 1 (3):87-91.
Logical depth and physical complexity.C. H. Bennett - 1988 - In R. Herken (ed.), The universal Turing machine, a half century survey. Oxford University Press. pp. 227-257.
The Berry paradox.G. J. Chaitin - 1995 - Complexity 1 (1):26-30.

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