http://www-2.dc.uba.ar/profesores/becher/ns.html

Note, the article is for the lay reader, but the gist is a correct representation of Chaitin's views. For more rigor, see:

http://en.wikipedia.org/wiki/Chaitin%27s_constant

Chaitin wrote a freely available book about his views:

http://plus.maths.org/issue37/features/omega/feat.pdf

A bit more discussion here:

http://news.ycombinator.com/item?id=378658