In physics, which to some degree has had a hierarchical development, I found it easy to provide something of a checklist, some natural starting and stopping points. On the other hand, by my understanding, biology was historically a list of facts about life, that didn't all come together until Darwin provided the framework in On the Origin of Species. Thus, rather than the block-upon-block structure I saw in physics (whether what I saw was there or not), biology seemed to have a spread-out feel to me, with many different areas seeming crucial to me for a basic understanding, which is why I have taken so long to write on biology. I have come to realize that this is because I had lost sight of my reason for this blog; in fact, part of the reason for this post was to help me get straight my strategy with this thing.
As for the purpose of this blog, and my philosophy concerning my choice of what to post, I never intended to start a one-stop shop for all your science needs, or some major mirror site; rather, I wish to make a useful resource which helps point people toward what interests them. Hopefully, I will one day start receiving feedback from people with questions about what fields interest them, and enough of a readership that there will be people to provide answers for questions that are beyond me. Until that day, however, I will stick for the most part to the following outline. First, before I start writing any article in a particular field, I will provide information I feel to be important to a basic understanding to the field. Second, I will start writing articles on the mathematics important for that field. Third, I might every now and again, write about particular experiments in that field, depending on how confident I am in my knowledge of the field.
This blog is about helping you find ways to satisfy your curiosity, without having to reproduce millennia of scientific discoveries and philosophy along the way. It is apparently a joke shared among a few fields of science that the answer to the question, "How much math should I understand for research in this field?" is always "More!"; at least, it is a popular anecdote in physics, and I have recently seen it used in reference to biology. I will not tell you what you should know, as this differs from person to person, and from instance to instance; but I will tell you what you might or might not find interesting or useful. It is your education, and it is in your control -- and it is ultimately your decision as to what fields interest you. However, science has a reputation such that, whatever your original curiosity, one question tends to lead to many others, so that an initial inquiry might bring a person through a range of fields, which need not seem connected at the outset; hence, always "More!" And I hope to provide you with sufficient resources so that you have a good framework to make sense of what you learn.
Those who are interested in reading a better-written version of what I'm trying to get at might enjoy this article.