Thanks for the explanations! All are incredibly helpful! I finally get it, and wow, that's genius! I admit, I think bitcoin has a lot of issues (learning curve for the dumber folk like me being one) but this is an awe-inspiring innovation nonetheless.
No problems. I personally found trapdoor functions (elliptic curves) in current cryptography to be rather fascinating especially considering it forms the basis of all cryptography (including Bitcoin). If you have any other questions feel free to ask/drop me a line.