In literature, magic is often grouped into three main categories—illusion (sleight of hand), spells and alterations of reality (paranormal), and the fantastic—and thus hidden there. Meantime, the word “magic” can itself shift from noun to verb to adjective and back again, an utterance repeatedly revealed as having a transformative property all its own.
I say “hidden” and “revealed” because the divvying up of magic into component parts keeps the whole of its complex nature somewhat safe from discovery. The act of defining magic becomes a way of constraining it, and of protecting it—and us. In some ways, magic becomes its own protective ward against wanting something so powerful that it can alter reality in the nick of time—shazaam!—so that we might use it to save the things we love.
Math, on the other hand. Math is different.