Ask the Stupid Question

"There are no stupid questions" is a thing people say in rooms where there plainly are. The proof is that the sentence exists at all — nobody has to insist there are no stupid answers.

The rejoinders give the game away too. There are no stupid questions, only stupid people asking questions. Every workplace has its own version, delivered with a laugh, and the laugh is the mechanism working exactly as designed.

Because the price is real, and it is not paid at the moment of asking. It is paid afterward, in a slightly adjusted estimate of you held by everyone who heard. Ask what a P&L actually is, in front of the CFO, and you have not merely asked a question. You have supplied a data point that will be recalled the next time your name comes up.

So people don't ask. They nod, resolve to look it up, don't, and the gap sets like concrete.

The gaps are not where you would expect

The comfortable assumption is that these are exotic holes — corners of the field nobody needs. That is not where they are.

Every expert has fundamentals missing from their own discipline. Not fringe material: the cornerstone kind. Something taught in the second year and never used since, or never quite understood the first time and papered over successfully enough that nobody noticed, least of all them.

The gaps survive precisely because the person is an expert. A junior can ask without much cost — being new is a license. Twenty years in, the same question costs a great deal more, and the more senior you get the more expensive it becomes, which means the longer a gap survives the safer it is from being closed. Seniority is a preservative for ignorance.

What it used to cost

I took linear algebra in 1988. Vectors, matrices, eigenvalues, the whole apparatus — passed it, and then did not touch any of it for a decade.

By 1998 I needed it back. There was no colleague to ask, for the reason this piece exists. There was no Wikipedia. What there was, was a bookstore with a computer section, and I stood in it, on several occasions, reading textbooks I had not bought and mostly did not buy, trying to reconstruct something I had genuinely once known.

That was the cost of a stupid question in 1998: an afternoon, a train fare, and the specific self-consciousness of a grown man reading an undergraduate textbook standing up.

The material has not moved since. Linear algebra is now the mathematical floor the entire industry is built on — the thing under every model everybody is arguing about. And the price of asking what a tensor actually is, as opposed to a vector, has gone from an afternoon in a bookshop to a sentence.

What you get for the sentence

A full explanation, worked examples, at whatever level you name. Fifth grade if you want fifth grade. It will do it again differently if the first pass did not take, and again after that, and there is no point at which it begins to wonder about you.

That last part is the change. Not the availability of the information — encyclopedias existed, the internet existed, the material was never locked away. What changed is the removal of the audience. The explanation was always obtainable; the asking was what cost something, and the cost has gone to zero in one specific place.

The honest limit

An explanation arriving instantly does not make the skill arrive instantly.

Understanding what a tensor is takes ninety seconds. Getting to where the concept is available to you without effort — where you reach for it rather than look it up — still takes the same unglamorous hours it always took. Access changed. Acquisition did not, and anyone selling you otherwise is selling something.

What has actually gone away is the thing that stopped you starting. The gap in your fundamentals was never preserved by the difficulty of the material. It was preserved by the fact that closing it meant admitting, out loud, to a person, that it was there.

Start with the one you have been avoiding longest. In my experience it is rarely obscure, and it is usually holding up more than you would like.