Umm. . . thats pretty much Hermetic magic. Order of Hermes, named after the Greek God. Its a "scientific" aproach to magic as seen through the eyes of the classical authors and rediscovered in the Rennaisance.
Alternatly, you could go with gnosticism or mystery cult initiation, base the drain on intution intead of logic. I would leave the spirit list more or less the same. You would have to write it up yourself, I don't think there is a published version, but the rules encourage designing magical traditions.