the arc of software bends towards understanding
I spent part of my year in Cambridge reading the History and Philosophy of Science course. It has been a thrilling and enlightening course, and I cannot recommend it highly enough for anyone lucky enough to take the HPS strand at Cambridge. Of course, I was a bit of an odd one out, since the course is designed for Natural Science majors, and I am, of course, a Computer Scientist.
It is actually surprisingly difficult for a layperson to find out precisely what cryptography Bitcoin uses, without consulting the source of Bitcoin directly. For example, the opcode OP_CHECKSIG, ostensibly checks the signature of something… but there is no indication what kind of signature it checks! (What are opcodes in Bitcoin? Well it turns out that the protocol has a really neat scripting system built in for building transactions. You can read more about it here.) So in fact, I managed to get some factual details wrong on my post Bitcoin is not decentralized, which I realized when commenter cruzer claimed that a break in the cryptographic hash would only reduce mining difficulty, and not allow fake transactions.
Bitcoin was designed by Satoshi Nakamoto, and the primary client is developed by a bunch of folks at bitcoin.org. Do you care who these people are? In theory, you shouldn’t: all they do is develop an open source client for an open source protocol. Anyone else can develop their own client (and some people have) and no one, save the agreement of everyone in the Bitcoin network, can change the protocol. This is because the Bitcoin network is designed to be decentralized.