Skip to main content

Ben Orlin - Five Way Interview

Ben Orlin loves math and cannot draw. He is the author of several bestselling books: Math with Bad Drawings (2018), the calculus storybook Change is the Only Constant (2019) and the infamously large Math Games with Bad Drawings (2022). He has taught every level of mathematics from 6th grade to undergraduate, and his work has appeared in The Atlantic, The Los Angeles Times, and Popular Science. His latest book is Math for English Majors.

Why math(s)?

My first passion is how people think. (Before I was a math major, I was a psych major!) So I view math, and especially math education, as a magnificent case study in applied psychology.

How do we braid together intuition and logic? How do we move from concrete details to abstract truths? What makes us build identities as 'a math person' or 'not a math person'? Every student I've ever taught had their own irreducible, irreproducible way of thinking about math. Nothing excites me more than learning how students think.

Why this book?

When I talk to mathematicians, they all downplay mathematical language. 'It's about the ideas,' they say, 'not the symbols.' Which is true enough!

But when I talk to writers, they love language. They've got favorite words, accents, etymologies, regional idioms... for them, the language is the raw material of literature, and it's fun to play with.

I wanted to bring that linguistic curiosity to math. Too often, the rules of our language remain invisible -- unspeakably obvious to experts, but unimaginably foreign to novices. This book is aiming to help both experts and novices see the language with new eyes.

Do you think if we were to redesign the language of mathematics from scratch, rather than the piecemeal form it now takes, it would be very different (and if so, how)?

Ooh, that's like pondering how evolution might unfold on an alien planet. The possibilities must be vast, but my imagination falters!

Maybe, freed from the strictures of typesetting, we'd design something more two-dimensional, like the triangle of power (which unifies logs, roots, and exponents) or the alien symbols in Arrival. Or maybe, because we perceive colors so vividly, we'd use them to carry meanings, like in Oliver Byrne's illustrated version of Euclid.

Still, I can only see mathematics through the window of our language. I struggle to envision what it'd look like from another vantage point!

What’s next?

This is my fourth book, and I'm excited to keep writing them. Several ideas are in competition for the next one:

1. A collection of the finest brain teasers that ever teased brains

2. A pilgrimage in search of mathematical beauty

3. True folktales of heroic calculations

4. Life wisdom from a probability-obsessed father (specifically, my father)

I invite readers to weigh in on the options! I am so suggestible and easily swayed that with sufficient pestering and flattery you can probably get me to write a book of your choice.

What’s exciting you at the moment?

My eldest is starting kindergarten; my youngest is starting to say her sister's name; I'm designing a new class on financial and civic mathematics; and less than 24 hours after typing these words, I'll be at the Minnesota State Fair eating grilled corn. In short: exciting times!

These articles will always be free - but if you'd like to support my online work, consider buying a virtual coffee:
Interview by Brian Clegg - See all Brian's online articles or subscribe to a weekly email free here

Comments

Popular posts from this blog

The Laws of Thought - Tom Griffiths *****

In giving us a history of attempts to explain our thinking abilities, Tom Griffiths demonstrates an excellent ability to pitch information just right for the informed general reader.  We begin with Aristotelian logic and the way Boole and others transformed it into a kind of arithmetic before a first introduction of computing and theories of language. Griffiths covers a surprising amount of ground - we don't just get, for instance, the obvious figures of Turing, von Neumann and Shannon, but the interaction between the computing pioneers and those concerned with trying to understand the way we think - for example in the work of Jerome Bruner, of whom I confess I'd never heard.  This would prove to be the case with a whole host of people who have made interesting contributions to the understanding of human thought processes. Sometimes their theories were contradictory - this isn't an easy field to successfully observe - but always they were interesting. But for me, at least, ...

The Infinity Machine - Sebastian Mallaby ****

It's very quickly clear that Sebastian Mallaby is a huge Demis Hassabis fan - writing about the only child prodigy and teen genius ever who was also a nice, rounded personality. After a few chapters, though, things settle down (I'm reminded of Douglas Adams' description of the Hitchhiker's Guide to the Galaxy ) and we get a good, solid trip through the journey that gave us DeepMind, their AlphaGo and AlphaFold programs, the sudden explosion of competition on the AI front and thoughts on artificial general intelligence. Although Mallaby does occasionally still go into fan mode - reading this you would think that AlphaFold had successfully perfectly predicted the structure of every protein, where it is usually not sufficiently accurate for its results to have direct practical application - we get a real feel for the way this relatively unusual company was swiftly and successfully developed away from Silicon Valley. It's readable and gives an important understanding of...

Nanotechnology - Rahul Rao ****

There was a time when nanotechnology was both going to transform the world and wipe us out - a similar position to our view of AI today. On the positive transformation side there was K. Eric Drexler's visions in the 1986 Engines of Creation. Arguably as much science fiction as engineering possibilities, it predicted the ability to use vast armies of assemblers to put objects together from individual atoms.  On the negative side was the vision of grey goo, out of control nanotechnology consuming all in its path as it made more and more copies of itself. In 2003, for instance, the then Prince Charles made the headlines  when newspapers reported ‘The prince has raised the spectre of the “grey goo” catastrophe in which sub-microscopic machines designed to share intelligence and replicate themselves take over and devour the planet.’ These days the expectations have been eased down a notch or two. Where nanotechnology has succeeded, it has been with the likes of atom-thick mat...