What exactly determines the properties of things that Artist draws? Does he when he summons them from the paper? Does the artist(I assume he can pull other peoples drawings as well) merely need to intend for that property to exist? Does it need to be inherent in the drawing itself? Does Artist just have to intend for the drawing in particular to be able to read minds? Because if that's the case than he could just say that all of his drawings can read minds. Why not?

You're going the right direction to avoid it being OP with the limitations that you've placed so far, but I can still see a lot of room for abuse. 

I kind of agree with Fox. Like the example I gave, if you can give any power to any of your drawings it's just crazy. And you can't just say "Well it was a robot that [i]looked[/i] like a fly. Because if you set that precedent from the get go you can make things up like that every time. 

You already have an incredibly powerful ability, don't go pretending that we're making it useless by asking for fair limitations.