Yes if you are paranoid about catching memory errors you want the mac pro as has already been mentioned:
"The quad-core Mac Pro offers four slots that support up to 8GB of 1066MHz DDR3 ECC SDRAM, while the 8-core Mac Pro offers eight slots that support up to 32GB"
I don't know why you would think the mini would use ECC ram since it's usually more expensive than non-ECC ram and everyone knows the mini is the least expensive mac!