[systemizer]

I'm sure we could create an anonymous payment system, however, it would come with a lot of constraints. For example, everyone in the network would pay X dollars to be a part of the anonymous network. Each person cannot pay more than X dollars so that money is conserved. When a transaction is executed, use a service like PayPal to choose a random account and transfer the funds where they need to go.

Yes, this is very insecure for various reasons, and your credit card statement will show up with something you didn't actually buy, but, anonymous payments could be achieved.

Of course, you would have to access the service with Tor for it to be completely anonymous.