Since 'Ad Hoc' arguments are not generalizable, this may mean that Adderall can not cast outside of Mathemancy.
Real World References
Ad Hoc is Latin for "For This," and refers to a solution designed for a specific task and is not generalizable to other purposes.
Adderall's nickname, "Add," is a reference to being a practitioner of Mathemancy.
In addition, Hawk is a type of bird, tying into his posession of the Flight special.
Adderall is a medicine used for the treatment of attention-deficit hyperactivity disorder (ADHD) and narcolepsy.