"fake credit card numbers"
The fact that fake card numbers exist and can be used points to a lack of security on the part of banks. In Luxembourg, it is not enough to have a credit card for online transactions anymore. I have a USB-like token that, on the press of a button, gives me a 6-digit PIN code that I have to enter to validate my purchase.
If banks all over the world adopted that level of functionality, the fake card issue would disappear by itself.