I am enjoying the responses on this thread. Thank you. Would be
interested to read more.
Here is a paper by my fave writer on the random: the
mathematician/logician Gregory Chaitin. He writes in plain language and
with passion for the ideas he illustrates well. Lots of his writing is
available for free on the net.
This paper is called Randomness and Mathematical Proof; it appeared
originally in Scientific American in 1975:
This paper is called How Much Information Can There Be in a Real Number
and is at
There are links to many of his writings at the bottom of this page:
, a page which
purports to prove that Chaitin is largely wrong and a nutcase. Chaitin's
work on Omega is not as interesting, to me, as his basic explorations
leading up to those claims, ie, he makes a lot of sense in his
preliminary explorations of randomness, and is even exciting, I think.