Mintrontics Mintduino chip won't program

I hope that

Alright, I set up the Uno and breadboard just like on the arduino breadboard tutorial thing, and I hit Burn Bootloader. I also selected Arduino as ISP for the programmer.

implies that you uploaded the "ArduinoISP" sketch (File --> Examples --> ArduinoISP) to the Uno.
If you spell it out, it helps others help you with less to wonder about.