There are a few scattered posts in Eliezer's sequences which do not, I believe, have strong dependencies (I steal several from the About page, others from Kaj_Sotala's first and second lists) - I separate out the ones which seem like good introductory posts specifically, with a separate list of others I considered but do not think are specifically introductory.
Introductions:
Not introductions, but accessible and cool:
As usual, I'll have to recommend Truly Part of You as an excellent introductory post, given the very little background required, and the high insight per unit length.
This thread is for the discussion of Less Wrong topics that have not appeared in recent posts. If a discussion gets unwieldy, celebrate by turning it into a top-level post.