Incompleteness, Complexity, Randomness and Beyond

Details Incompleteness, Complexity, Randomness and Beyond Incompleteness, Complexity, Randomness and Beyond

2001-11-22

arxiv.org/abs/quant-ph/0111118v2

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

Physics

Quantum Physics

16 pages

Scientific paper

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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