The infamous proof by handwaving is a revered practice in academic departments worldwide. While it is best deployed in the so-called "hard sciences", i.e. technical subjects, of mathematics, physics, and computer science, it is not without application in ’pataphysics, para-psychology, comparative and analytic literature studies, or sociology. The proof by handwaving, although wide-reaching in its application, is NOT a sturdy indefensible, and the wise will utilize it only rarely.

A few caveats: A chalkboard or whiteboard is nearly essential to the successful proof by handwaving. An overhead projector does not allow for the amount of distracting movement necessary for a successful proof by handwaving. In informal or strained circumstances, a cocktail napkin might suffice.

Under no circumstances attempt a proof by handwaving in front of an audience of engineers. The engineer thrives on their understanding of minutia, this is why they are the bane of the stage magician, and they are typically rather tenacious. If it is unavoidable that you must employ the proof by handwaving on an audience of engineers, it is recommended you first soften them up with a few pitchers of beer.

Anecdotal evidence seems to support the theory that the proof by handwaving is most successful when the presenter possesses, or is believed to possess, or is paid to pretend to possess, expert knowledge of the topic. This power disparity between the presenter and the audience may hold the means by which to rate the effectiveness of any given attempt at proof by handwaving.

The proof by handwaving differs from discursive handwaving in that it is a distraction, a little act of magic, used disingenuously by the unprepared or charlatan. Facility in the employ of the proof by handwaving is not acheived through the practice of waving hands or tai chi push hands.