I also highly recommend the use of an RSS reader to keep track of websites. I have been using Vienna for Mac, though I'm sure you can find your own for whatever systems you use. RSS readers allow you to escape blog-vendor-lockin as we experience here with LJ (the "I can't keep track of my non-lj-friends" thing).
Anyway, I'm looking for intelligent writeups about the theory of randomness. If you have any recommendations please please let me know! However, I am not interested in colloquial bastardizations of the term (ex. "that was so random lol"), and the relevant Wikipedia pages have been subject to disturbing amounts of both vandalism and misunderstanding. Sigh.
See, I'm working on my own set of lectures on Statistics. As probability theory is very relevant to statistical theory (I'm not sure the latter explicitly relies on the former.... but does it? That question is seriously haunting me!), I would like to begin at least with a mention of probability. But probability is subject to a number of different interpretations; at least two, anyway (are there more? I need to find out!). And I believe this distinction is in some way related to the various understandings or definitions of randomness. Of which there appear to be many; although I'm having difficulty finding descriptions of them.
I would like to even go so far as to define probability theory as the study of randomness, but this is perhaps unconventional. Furthermore, Kolmogorov's axiomatic basis for probability theory does not require any mention of randomness; so some mathematicians may protest. *shrug*
Despite all my worry about these problems, I'm really trying to make Lecture 1 jump right into statistics, without worrying too much about probability theory. I wonder how much this is feasible, however, or if it will run me into horrible problems the moment I introduce a random variable. Eeks.