Yes, I had an ulterior motive in starting this topic right this moment. See, I'm trying to close the inferential gap in explaining Bitcoin to the layperson, so I wrote up a blog post explaining the relevant cryptographic pre-requisites. (It's based on discussions with an economist who plans to write about Bitcoin soon.)
I would appreciate any corrections. Also, this is another case of me claiming to be better at explaining stuff than most people, so see if I live up to the standard (preferably from those that don't already understand this stuff). The economist I talked to found my explanation must more helpful than Wikipedia (and I, too, found the site's explanations not very helpful in my self-education about cryptography).
(Edited to fix typo)
Edit2: Now my long-time frenemy and economist Bob Murphy links the post with approval, though yes, he doesn't specify that it's more of a "cover of the pre-requisites" than an explanation of Bitcoin itself.
the jump in interest generally comes when you explain that there will only ever be 21 million. this seems to completely change the character of the conversation.
or did you mean explaining it to intelligent people? :p
We've started a habit of creating periodic Bitcoin threads to confine discussion thereof to those threads and prevent excessive proliferation of Bitcoin topics in the discussion section. Here is a link to the last one, which links the other discussions. Lot's to talk about, and another bounce in Bitcoin's value (up to 33 then down to 24), so share your links and thoughts!