Through the tradesman’s entrance
A bitter testimony, a television series and a comic. Three routes that carry science to people who will never read a proof, and what each one drops along the way.
The three books in an earlier piece showed mathematicians at work. These do something else: they address people who will never do any. The question then becomes the right one, and it holds for an architecture note or a steering committee too: through which door does a technical idea reach somebody without the vocabulary, and what does it lose on the way in.
The narrowest door of the three, and the only one not asking to be walked through. A major mathematician settles accounts with the world that formed him, over hundreds of pages where bitterness and clear-sightedness never quite come apart. It is also the source of the comparison between a proof and the opening of a nut, which I gave another piece to. I recommend it not as a mathematics book but as a document: it shows what a technical life becomes when the recognition of peers stops being its engine. Read it in fragments; end to end, it exhausts.
Popularisation through the tradesman’s entrance, and the book this piece takes its title from. Some of the series’ writers were trained mathematicians, and spent years slipping in jokes a handful of viewers could catch. What interests me is not the anecdote but the device: the joke costs nothing to whoever misses it. It is the only form of popularisation that charges nobody, and it is a usable model in a technical note, where the exact detail can sit without stopping the reader who does not need it.
Comics that simplify the form without simplifying the substance, and the distinction is rarer than it sounds. Most popularisation does the opposite: it keeps a serious tone and planes the content down until it says nothing false and nothing at all. Here the drawing is funny and the mechanism exact. The volume I read takes film scenes apart, which is the best way to get a correction accepted: you are not contradicting the reader, you are contradicting a film they watched.
Two more deserved their place and did not get it, for want of a picture: no open library publishes the cover of Philippe Pajot’s Parcours de mathématiciens (interviews on how one becomes a researcher, answering a question mathematics books never ask) nor that of Hubert Krivine’s Petit traité de hasardologie, short, and the best antidote I know to the reasoning about probability people do without noticing. They are named here rather than dropped.
And one limit common to all three. None transmits a skill: you leave these books with a taste for a subject rather than the ability to work in it, and confusing the two is the trap of any successful popularisation. It lets you believe you understood because you followed. That is exactly what to remember before walking out of a demonstration in a meeting thinking the room has understood.