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Incompleteness, Complexity, Randomness and Beyond

2001/11/30 by Cristian S. Calude
Physics and Astronomy · #quant-ph

paper · pdf

published as Minds and Machines: Journal for Artificial Intelligence, Philosophy and Cognitive Science, 12, 4 (2002), 503--517 · 16 pages

arxiv created 2001/12/17 · arxiv updated 2009/12/01

Abstract

Goedel's Incompleteness Theorems have the same scientific status as Einstein's principle of relativity, Heisenberg's uncertainty principle, and Watson and Crick's double helix model of DNA. Our aim is to discuss some new faces of the incompleteness phenomenon unveiled by an information-theoretic approach to randomness and recent developments in quantum computing.

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