Minds and Machines

, Volume 12, Issue 4, pp 503–517

Incompleteness, Complexity, Randomness and Beyond

  • Cristian S. Calude

DOI: 10.1023/A:1021132605507

Cite this article as:
Calude, C.S. Minds and Machines (2002) 12: 503. doi:10.1023/A:1021132605507


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.

complexityincompletenessOmega Numberquantum computingrandomnessTuring barrier

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Cristian S. Calude
    • 1
  1. 1.Department of Computer ScienceUniversity of AucklandAucklandNew Zealand