My favorite piece of scientific writing is Charles Bennett's 1979 On Random and Hard-to-Describe Numbers which describes Chaitin's number. You should read it not because its scientific content will be useful to you, although it may be, but just for the quality of the writing. If you already know about Chaitin's number, just skip to the last paragraph on page 6 and read from there on.
I don't want to quote too much from the article, but here is the last sentence of the abstract.
Other, Cabalistic properties of $\Omega$ [Chaitin's number] are pointed out for the first time.