The granted abilities effectively use “this permanent” rather than “[that card's name],” so you treat the abilities as if they were printed on the creature that gained the ability. For example, say the artifact was Universal Solvent, which has the ability “, , Sacrifice Universal Solvent: Destroy target permanent.” If Grell Philosopher gained that ability, you'd treat it as though it said “, , Sacrifice Grell Philosopher: Destroy target permanent.”