divine dice in elementary number theory

Kragen Sitaker kragen@pobox.com
Fri, 10 Mar 2000 20:24:38 -0500 (EST)


http://www.cs.auckland.ac.nz/CDMTCS/chaitin/ijbc.html

Gregory Chaitin:
	First of all, the connection with physics. There was a big
	controversy when quantum mechanics was developed, because
	quantum theory is nondeterministic. Einstein didn't like that.
	He said, ``God doesn't play dice!'' But as I'm sure you all
	know, with chaos and nonlinear dynamics we've now realized that
	even in classical physics we get randomness and
	unpredictability. My work is in the same spirit. It shows that
	pure mathematics, in fact even elementary number theory, the
	arithmetic of the natural numbers, 1, 2, 3, 4, 5, is in the
	same boat. We get randomness there too. So, as a newspaper
	headline would put it, God not only plays dice in quantum
	mechanics and in classical physics, but even in pure
	mathematics, even in elementary number theory. So if a new
	paradigm is emerging, randomness is at the heart of it.  By the
	way, randomness is also at the heart of quantum field theory,
	as virtual particles and Feynman path integrals (sums over all
	histories) show very clearly. So my work fits in with a lot o

This is fucking mindblowing.

-- 
<kragen@pobox.com>       Kragen Sitaker     <http://www.pobox.com/~kragen/>
The Internet stock bubble didn't burst on 1999-11-08.  Hurrah!
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The power didn't go out on 2000-01-01 either.  :)