The Frontier Record · Sheet XL
On a valley where twenty-odd people were simultaneously the best at nearly everything by the second week — and on giving a career a shape that does not finish — read through Hokusai, who kept changing his name because he had not got there yet.
1 - 1/(1 + made/6). That is an asymptote: nobody has
ever been finished, and nobody ever can be. Everything that read it behaved as though they
were. The top word opened at 0.82, which is twenty-eight of a thing, and there was nothing
above it — so a settler who had made twenty-eight planks and one who had made five
hundred were described in the same four words for the rest of their lives. Worse, the ceiling
took teaching down with it: a master could only teach somebody two-tenths below them, and past
0.8 no gap that wide can exist. The one use left for mastery switched itself off at exactly
the point mastery was reached.
Across the whole of the closed run, counting every settler who ever crossed into a new word at a trade — 372 person-branches in total:
| The word it ended on | Careers |
|---|---|
| learning | 31 |
| competent | 28 |
| practised | 64 |
| good at it | 49 |
| the best here at it | 200 |
Mara held the top word in eleven branches of eleven. Mining, hauling, toolmaking, forestry, building, farming, sawing, trading, mending, scouting, herding — all of it. Sula in nine. Nim, Ferro, Ysolde, Cato, Halla, Pike, Rowan, Juno, Dask, Vell, Osk and Lune in nine or more each. Twenty-seven people lived in that valley and most of them were, at the same time, the best there was at nearly every trade it had.
The beat that fires for it says: “It is not a title anybody gave them. It is the count.” The count was twenty-eight.
| Things made | Skill | What was said about them |
|---|---|---|
| 12 | 0.667 | practised |
| 28 | 0.824 | the best here at it |
| 50 | 0.893 | the best here at it |
| 100 | 0.943 | the best here at it |
| 526 | 0.989 | the best here at it |
Five hundred and twenty-six against twenty-eight. The difference is real, it is written down, it was updated every single time somebody made something — and after the twenty-eighth nothing in the game ever mentioned it again. The valley kept a perfect record of a thing it had stopped being able to describe.
From the age of six I had a mania for drawing the shapes of things. By fifty I had published a universe of designs, but all I have done before the age of seventy is not worth bothering with. At seventy-three I began to grasp the structures of birds and beasts, insects and fish, and of the way plants grow. If I go on trying I will surely do better still by eighty-six, so that at ninety I will have got to the root of things; at a hundred I shall have reached a divine state, and at a hundred and ten every dot and every line will have a life of its own. Katsushika Hokusai, postscript to One Hundred Views of Mount Fuji, 1834, signed GAKYŌ RŌJIN — the old man mad about painting
He was seventy-four when he wrote that and he had already been six other people: Shunrō, Sōri, Hokusai, Taito, Iitsu, and at the end Manji. The renaming was not branding. It was the only honest way he had found of saying I am not the person who made those — a ladder of names, taken up and put down, with no top rung, kept by a man who thought his entire published output before seventy was not worth bothering with.
That is the shape this valley was missing, and it is not a difficulty curve or a prestige system. It is a way of continuing to say something true about somebody who has not stopped.
Each rung is about twice the last, because that is what the next slice of an asymptote actually costs. Nobody chose the spacing; it fell out of the curve that was already there.
| Band | Careers | Under the old words |
|---|---|---|
| learning | 87 | learning |
| competent | 59 | competent |
| practised | 45 | practised |
| good at it | 46 | good at it |
| the best here at it | 33 | the best here at it |
| a master of it | 14 | the best here at it |
| a master twice over | 14 | the best here at it |
| past anything this valley can teach | 3 | the best here at it |
Deepest career on that coast: Pike, five hundred and twenty-six at trading, skill 0.989, and still climbing.
The ceiling had a second victim and it is the more interesting one.
teachAt looked for somebody in the settlement whose skill was more than
two-tenths above the learner’s. Skill is squeezed into nought-to-one by the
asymptote, so the moment a settler passes 0.8 the largest gap anybody in the world can have
on them is 0.2, and the test can never be true again.
Five hundred planks against thirty is 0.988 against 0.833. A gulf — and fifteen thousandths short of being allowed to count. Teaching stopped working in this valley on the day it stopped being for beginners.
It is reckoned in things made now, which do not compress: half again as much work, plus a few, is a teacher at six against four and at seven hundred against four hundred and fifty. So the part of a career past the flat of the curve stops making the master better — the curve sees to that on its own — and starts making everybody else better. Which is what mastery has always actually been for, and it is the one form of progression that cannot inflate, because it is spent on other people.
Four more rungs is still a list, and any list ends. So underneath the words there is a mark at every doubling of the count — the thirty-second, the sixty-fourth, the hundred and twenty-eighth, and on, for as long as anybody keeps working:
| Made | 32 | 64 | 128 | 256 | 512 | 1024 | … |
|---|---|---|---|---|---|---|---|
| said aloud | ● | ● | ● | ● | ● | ● | ● |
The gap doubles with them, so a settler forty years at one bench is marked about as often at five hundred as at fifty, and the feed never fills up with it. Sixty of them had already passed the first mark by tick sixteen thousand on the test seed. The line reads: “Mara has made their 256th wood. Nobody asked them to count.”
Nothing here makes anybody stronger. No rung grants a bonus, no mark unlocks anything, and the quality curve is exactly the curve it was this morning. What changed is that the valley can now say what is true about a person who has not stopped — and that a master has something left to do with the part of their life the curve has stopped rewarding.
Measured on run mtbgptmz-5q, closed, and on a fixed seed at
tick 16,000 · skillWord, teachAt, practise
· full gate green.
The Frontier Record · Sheet XL · 29 August