Hey, here's some "completeness and consistancy"..
Gödel and the End of Physics
Stephen Hawking
Some people will be very disappointed if there is not an ultimate
theory, that can be formulated as a finite number of principles. I
used to belong to that camp, but I have changed my mind. I'm now
glad that our search for understanding will never come to an end,
and that we will always have the challenge of new discovery. Without
it, we would stagnate. Gödel's theorem ensured there would always be
a job for mathematicians.
http://www.physics.sfasu.edu/astro/news/20030308news/StephenHawking20
030308.htm
On the intelligibility of the universe and the notions of
simplicity, complexity and irreducibility
Gregory Chaitin, IBM Research Division
Well, if you believe in quantum physics, then Nature plays dice, and
that generates complexity, an infinite amount of it, for example, as
frozen accidents, mutations that are preserved in our DNA. So at
this time most scientists would bet that the universe has infinite
complexity, like O does. But then the world is incomprehensible, or
at least a large part of it will always remain so, the accidental
part, all those frozen accidents, the contingent part.
On the Intelligibility of the Universe
Gregory J. Chaitin: "At the time of its discovery, Kurt Gödel's
incompleteness theorem was a great shock and caused much uncertainty
and depression among mathematicians sensitive to foundational
issues, since it seemed to pull the rug out from under mathematical
certainty, objectivity, and rigor. Also, its proof was considered to
be extremely difficult and recondite. With the passage of time the
situation has been reversed. A great many different proofs of
Gödel's theorem are now known, and the result is now considered easy
to prove and almost obvious: It is equivalent to the unsolvability
of the halting problem..."
Goedel's Theorem and Information