France has one of the most efficient sorting mechanisms ever built and it looks nothing like a sorting mechanism, which is precisely the point.
The state needed a filter. After the grandes écoles took shape in the 19th century, Polytechnique first, then Normale Sup, the question was never really about education in any broad sense, it was about identifying which young men could run a centralized republic and doing so quickly (at scale) with minimal room for argument. And mathematics was perfect for this : clear criteria, standardized grading, almost impossible to fake, fine-grained enough to rank hundreds of candidates against each other with apparent precision. The system worked exactly as designed, and it still does.
What happened next is where it gets interesting. A group of french mathematicians, mostly ENS alumni, spent the mid-20th century pushing the field toward a level of abstraction so extreme that Benoît Mandelbrot left France entirely in 1958, went to IBM and invented fractal geometry in an environment that actually let him think visually. The issue being that the axiomatic style they championed filtered into secondary education, briefly, disastrously, and even after the formal reform was scrapped it left a cultural residue behind : the idea that rigor means abstraction, that the proper way to present mathematics is from the general to the particular and that concrete examples are somehow beneath the discipline. French textbooks still carry this DNA. You open an analysis book and you’re expected to absorb the formal structure before you’ve built any intuition for why that structure exists.
The standard critique of all this belongs to Bourdieu, and it’s not wrong. The students who thrive in this environment aren’t necessarily the most talented, they’re the ones who grew up in households where abstract reasoning felt normal, where the implicit codes of academic culture were already spoken at dinner. The filter selects for cultural capital as much as cognitive ability, and it then presents that selection as objective, as meritocratic, as simply the way mathematics works.
But Bourdieu’s critique, for all its precision, stays inside the system it’s describing. His answer is always more state intervention, better redistribution of cultural capital, reformed institutions. He never asks the prior question, which is why the state gets to define what merit means in the first place.
This is the part that nobody in the french intellectual tradition seems to want to touch. When a single institution controls the definition of cognitive value, when there is essentially one legitimate path to elite status and one type of intelligence that converts into power and money, you don’t have meritocracy, you have a monopoly on merit. The ceremony of the concours, the sacred neutrality of the equation, the implicit message that whoever fails simply wasn’t good enough, all of it functions as legitimation for a selection process that the state designed and the state administers and the state benefits from. Calling it objective doesn’t make it so., it just makes it harder to argue with which is a different thing entirely.
A market for credentials, even a messy one, distributes this power. When companies define their own signals, when different institutions reward different profiles and when there are multiple ways to demonstrate that you can think, the monopoly breaks down. The US system is chaotic and deeply unfair in its own ways, but the chaos at least means that someone who thinks like Mandelbrot, visually, intuitively, across disciplines, doesn’t have to leave the country to do serious work. In France, for most of the 20th century, they did.
The real problem with French mathematical culture isn’t that it’s too hard but it’s that hardness was standardized, centralized, and turned into the single axis on which human potential gets measured. A state that controls the filter controls who governs, who earns, who matters. Bourdieu saw the reproduction, he just didn’t see (or didnt want to see) that the machine reproducing it was always going to be the state.