Here's my basic idea for Magic in the world that follows
The universe as we see it consists of formed matter. There is such a thing as unformed matter, and matterless form. Matterless form functions like the Platonic forms: perfect examples of what objects represent them in the real world. However, instead of being based in nouns (like "chair-ness"), they are to be based in adjectives (like "tallness"). These forms are everywhere and infinite, but are meaningless until assigned to matter. Formless matter (a concept I believe I take from Aristotle directly) takes up no space, and is also everywhere and infinite. Magic works by applying forms to either existing objects, changing them, or to formless matter, creating objects.
At present, there will exist two forms of magic: "High Magic," which can pull matterless forms from the air, and "Low Magic" which can only pull forms from existing objects. Thus, a high magician could make a warrior stronger simply by adding strength to him, while a low magician could only move strength from one warrior to another (though he could create a superior warrior by drawing strength from many separate warriors).
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