Step 1: Pull the rug out from under them
The other thing he reminded me to mention is this. Consider the consequences of having the arguement. If you win will you have shown yourself to be better than the average minion or will it just piss them off. If there is no plus side to the argument, don't have it. Let them win for the time being.
I will use the capture of a hilltop castle as an analogy.
First one needs to just take the low ground and establish a base. There is little battle in this. This is done by taking the first argument they present you with and turning it on its ear.
Here is a real life example (This is almost directly quoting the teacher):
"Don't you think its disrespectful when every day I tell you to remove your hat and every day you come back wearing it?"
This is where you surprise them. Its quick simple and very likely to leave them scrambling for a new strategy.
Say "No." ("No" does not work for all occasions, adjust accordingly)
This removes the foundation of their argument by not allowing them to start gaining momentum. They were planning to build an argument off of what your expected response would have been. When it isn't what they are expecting they have to change how they are going to go about the task. Congrats,
you have just taken the lowground.