, Volume 2, Issue 1, pp 123-135

Gödel's Incompleteness Theorems and Computer Science

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Abstract

In the paper some applications of Gödel's incompleteness theorems to discussions of problems of computer science are presented. In particular the problem of relations between the mind and machine (arguments by J.J.C. Smart and J.R. Lucas) is discussed. Next Gödel's opinion on this issue is studied. Finally some interpretations of Gödel's incompleteness theorems from the point of view of the information theory are presented.

This revised version was published online in August 2006 with corrections to the Cover Date.