The Old Man Mad About Painting

The Frontier Record · Sheet XL

The Old Man Mad About Painting

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.

Edo, 1834 · run mtbgptmz-5q, closed 372 careers · 200 of them at the top word
The finding Skill in this valley is 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.

I Everybody was the best at everything

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:

Where a career finished, run mtbgptmz-5q
The word it ended onCareers
learning31
competent28
practised64
good at it49
the best here at it200

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.

II The curve was never the problem

What the number actually does
Things madeSkillWhat was said about them
120.667practised
280.824the best here at it
500.893the best here at it
1000.943the best here at it
5260.989the 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.

III Hokusai kept changing his name

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.

IV Four more rungs, at the spacing the curve dictates

  1. 1–2learning
  2. 3–6competent
  3. 7–12practised
  4. 13–27good at it
  5. 28–53the best here at itwas the end of the road
  6. 54–113a master of itnew
  7. 114–233a master twice overnew
  8. 234+past anything this valley can teachopen, and stays open

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.

Careers by band on a fixed seed at tick 16,000 Of 301 person-branches: 87 learning, 59 competent, 45 practised, 46 good at it, 33 the best here at it, 14 a master of it, 14 a master twice over, and 3 past anything the valley can teach. The last four bands, 64 careers, were formerly one single word.
Same population, same numbers, on a fixed seed at tick 16,000 — only the words differ. The bracket marks what used to be one.
The plate, as figures
BandCareersUnder the old words
learning87learning
competent59competent
practised45practised
good at it46good at it
the best here at it33the best here at it
a master of it14the best here at it
a master twice over14the best here at it
past anything this valley can teach3the best here at it

Deepest career on that coast: Pike, five hundred and twenty-six at trading, skill 0.989, and still climbing.

V What a master is for

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.

VI The mark that cannot run out

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:

Marks, on a fixed seed
Made32641282565121024
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