Danonymous

Why All the Mathemagicians?

In honor of π Day,1 I'd like to address a question I've had for a long time:

Why are so many mathematicians into magic, and vice-versa?

Magicians come from many walks of life, but most fall into one trope or another. The larger-than-life stage presence, the quiet technical master, the flashy "juggler," the slick talker, the smug one, the occultic mentalist, the pickup artist (ew), the goofball. Myself, I'm a combination of the skeptic (James Randi, Harry Houdini) and the mathematician (Martin Gardner, Alex Elmsley). Perci Diaconis sits at a similar crossroads.

The skeptic makes sense as an archetype. Magicians are professional bullshitters, usually with a keen eye for other bullshit. As James Randi famously said, "Magicians are the most honest people in the world; they tell you they're gonna fool you, and then they do it." Naturally, it really grinds our gears when people use the same tricks in dishonest, predatory ways. The connection goes the other way, too, since debunkers need to know their bunk.

It is less obvious why there's such an overlap between magicians and mathematically-inclined academics. The Wikipedia page for Mathemagician lists 14 "Notable" examples. Of those, I found 7 names immediately familiar. I recognized some for their scholarship and others for their magic.

Why so many mathemagicians?

Math Trick Hypothesis

There are lots of mathematical magic tricks. Some are overt, while others only use math under the hood. I've seen both. The latter kind, where the math is totally hidden, seems more common among the mathemagicians in question. I'll admit, I find some mathematical principles in magic fascinating.2 So have the most famous of the mathemagicians: Karl Fulves published several volumes on self-working card tricks, and Martin Gardner wrote a 177-page book on math-based effects.

I find this hypothesis totally unsatisfying. Maybe it covers some people, but not most. I actually really hate most math-based tricks unless I'm doing them to teach math. They feel transparent an gimmicky.3 More damning, my interest in magic has never been based on my interest in math. Instead, my favorite aspects of magic are technical sleights and psychological construction.

Ego Hypothesis

Some people like being the smartest one in the room. I've known this sort to seek out math and physics as presige symbols of intellect. The most frustrating cases are, in fact, exceptionally smart people. Others are deluded. The worst might be the folks who seek out arcane knowledge just so they can know something you don't.

A handful of mathemagicians probably fall into this category (cough Feynman cough cough). Most magicians, myself included, graze it — there's a thrill in fooling someone. However, severe egotists never make good magicians because they're in it for themselves rather than for the audience. By contrast, most mathemagicians I know of give pretty good vibes. I'm not buying this one.

Technical Depth Hypothesis

Maybe math and magic have something in common as disciplines, so that the acts of doing math and doing magic scratch a similar itch. To quote a 1995 interview with Perci Diaconis,

"The way I do magic is very similar to mathematics. I do it seriously as an academic discipline. I study its history. I invent tricks, and I write material for other magicians. I meet with them, do tricks occasionally and practice. That's an activity that is not very different from mathematics for me. I subscribe to 20 magic journals. You might say I do magic as a hobby, but for me it's quite close to math."

Now this resonates for me. The main way I engage with magic is through literature an a meticulous system of notes. It's a go-to place to indulge my ADHD hyperfocus. Furthermore, the non-math magicians I respect most are technical masters who really know their stuff. Watch 5 minutes of a Michael Vincent lecture and try telling me he's not a scholar.

Math in particular shares something central with magic: problem solving. Magicians are easily nerd sniped by a puzzling effect. For many, it's an even more enthralling challenge to find their own method for a given effect. As Diaconis puts it, "In both subjects you have a problem you're trying to solve with constraints." The toolkit can even look similar: Juan Tamariz introduced the "symbolic method" as a notation scheme for card tricks. The idea never took off, but that abstraction is thinking like a mathematician.

Conclusion

I still feel one component is missing even after combining the workable bits of all three hypotheses. I was drawn to magic as a young child, well before I had the patience to do it right. I later grew into the technical orientation I use for both math and magic, but that mindset couldn't have been gotten me into magic in the first place.

I tried hard to connect the dots here, but I found myself writing and deleting and rewriting because every idea fell flat. I considered that the absolutism of a proof mirrors the absolute impossibility of a magic trick, but it doesn't ring true for me. I thought about how both fields pivot on cleverness and elegance, but both grabbed my attention before I knew that.

Plus, I found joy in math well before I appreciated magic, so who's to say the initial sparks were even connected? And if the subjects are so similar, why are there so many mathematicians who don't do magic? And why so, so many magicians who hate math as much as the next guy?

In the end, I think I'm just a very curious person. I'm lucky enough that math and magic both fall within the scope of my curiosity, and that I had early access to both. From there, I had the opportunity to discover the ways they each fit so nicely in my brain.


How do your hobbies connect? Do you know any other weird overlaps? Tell me at mr.dan.blog@pm.me.


Footnotes

  1. The holiday deserves full capitalization, but Π Day just doesn't look right.

  2. If you do too, look into Gilbreath shuffles. If you're feeling bold, dive into Elmsley's work on faro stacking.

  3. Harry Lorayne had a good philosophy on dressing up math as magic, but he is the exception. Read his Mathematical Wizardry for a performance-forward approach.

#magic #math #reflection