Incompleteness, complexity, randomness and beyond

Minds and Machines 12 (4):503-517 (2002)
Abstract
Gödel'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.
Keywords Omega Number   Turing barrier   complexity   incompleteness   quantum computing   randomness
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