A question started running through the boredom of his convalescence: what were the actual odds of winning a given layout of Canfield solitaire? He tried working out the precise combinatorics by hand, the way any mathematician of his training would default to, and found the calculation nearly impossible to finish cleanly. Then a simpler idea occurred to him. Instead of solving for the odds directly, he could deal himself a hundred hands, play each one out, and count how many won. The fraction would not be the true number, but it would close in on it, the same way an estimate always does once enough independent tries pile up behind it. One complicated question had become a binary one, asked a hundred times instead of solved once.

He mentioned the idea to a colleague, John von Neumann. The two of them realized a problem they needed solved, how far a neutron travels through a material before it splits another atom, was really the same shape of problem: too tangled to solve exactly, but countable in the same way a hand of solitaire is. The method that came out of that hospital bed became one of the most used computational tools in science. A colleague later named it Monte Carlo, after the casino, because Ulam had an uncle who gambled there.

Ulam’s tally does not care what is riding on the question. It works the same for something forgotten five minutes after being asked, and it works the same for a question that does not let go for as long as you are alive.

One evening, out of nowhere, I asked my husband: what is something I hate?

Without hesitation, he said: snakes. He was not wrong. I am genuinely afraid of them, and he had just been playing Sekiro, fighting a large silver snake that made me scream every time it lunged at his character on screen.

Almost on instinct, he turned the question back on me. “Name something I hate,” he said.

“Being asked a lot of questions,” I answered.

He smirked, the particular, proud smirk of someone who is satisfied with the answer.

He did not mean questions in general. What he meant, in his own terms, is learned helplessness: asking before trying, reaching for help on a problem I have not yet touched. I called it the “Can you just…” pull: the reflex to hand off any small household task, a stuck remote, a crooked shelf, a router light blinking the wrong color, before I have tried it myself.

The idea of learned helplessness translates to Did I try first, or did I ask first? Every answer to it becomes a piece of evidence toward a much bigger question: what kind of wife am I becoming? Or back to the binary version: Am I meeting my own needs without driving him crazy?

None of that is my entire identity on the strength of one day alone. Repetition alone decides it, the same way no single hand decided Ulam’s odds, only the full count did. This is the Law of Large Numbers at work. Any one hand of dealt cards is too noisy to trust by itself. The noise shrinks as more hands pile up behind it, not because a later hand is truer than an earlier one, only because there are more of them now. Ulam did not need his first deal to be a winner. He needed the tally.

A Loop Instead of a Calculation

What if I scored it the way Ulam might have? Black card, a spade or a club, if I try the task myself first, even briefly, even badly, before asking. Red card, a heart or a diamond, if “can you just…” comes out of my mouth before I have touched the problem.

The first week would be brutal, and days ten through twenty would bring a partial recovery. Somewhere between day thirty and day forty would come an honest backslide, a bad stretch proving that a real habit does not move in a straight line no matter how the story prefers it to. By day fifty the climb would resume, slow and noisy, and settle somewhere past the halfway mark by day ninety. Day seven’s low and day ninety’s average would not be a story about willpower improving, but the same underlying process with less wobble left in it, the noise shrinking as more days pile up behind it rather than any single day getting better. Somewhere around day sixty, the sighing would stop, and what replaced it would look almost like curiosity, the raised eyebrow of a man watching an experiment he did not sign up for start to work.

The numbers above are illustrative, not a real ninety days I counted. What is real is the evening this section opened on, and the smirk. What is invented is the tally that would have followed it, if I had kept one.

He named the pull correctly in one guess, no data required. But a single correct guess is not the same as knowing the odds, the same way one winning hand of solitaire is not the same as knowing you will win again.

The best thing about asking questions is the creativity it requires to reframe them. That same creativity is what turned did I try first into who am I becoming. Some small questions can be blown up into unanswerable ones if you keep asking yourself “what am I really asking.” Some belong to the twelve favorite questions worth carrying for life, the kind no single answer closes out.

For instance, who am I becoming is too big a question to run directly. A mental model like inversion can answer it, but each one only adds to an endless list of possible answers. What breaks the complexity down into something actionable is not another mental model but a framework built from a single question, asked once, then asked again about its own answer: not who am I becoming, but why do I do what I do.

On January 3, 2024, in a notebook I keep titled Spirited Away, I ran a version of that same loop on myself, using nothing more sophisticated than one repeated question.

Why do I do what I do?

1. Why do I do what I do? Achieving my wants and needs.
2. What about achieving my wants and needs is important to me? Meeting my wants and needs positively.
3. What about meeting my wants and needs positively is important to me? Developing a positive identity.
4. What about developing a positive identity is important to me? Meeting my wants and needs positively, in a sustainable way.

LOOP iterates.

5. What about meeting my wants and needs positively is important to me? Developing a positive identity.
6. What about developing a positive identity is important to me? Meeting my wants and needs positively.
7. What about meeting my wants and needs positively is important to me? Developing a positive identity.

Layers five through seven do not introduce anything new. Each one is another observation folded into the same running estimate, positive identity, then meeting the needs positively again, back and forth.

“Meeting my wants and needs positively, in a sustainable way” has a plain, unglamorous test case in this marriage: getting what I want, help, ease, without driving my husband a little crazy in the process. Sustainable here is not a vague virtue. It is the literal difference between a request he is happy to grant and a pattern he has learned to dread. Is becoming someone he does not sigh at part of who I am becoming, as a wife?

What the Loop Surfaces

The seven-layer version is a longer run of an old move. Sakichi Toyoda built it into how he ran his loom company, asking why a problem happened and then why that answer was true until the real cause showed itself. That habit traveled with the business when his son Kiichiro used its capital to found the automobile venture that became Toyota Motor Corporation. A generation later, Taiichi Ohno set it down in writing as the five whys: ask why a problem happened, then ask why that is true, and keep going, usually five rounds deep, until the surface explanation gives way to the actual cause. A stalled machine is rarely fixed by patching the part that finally failed. The worn pump, the missing filter, the habit nobody questioned upstream are what asking why again and again eventually surfaces. My ladder runs the same move on a motive instead of a machine, two rounds further than the shop floor version, because a self is a harder thing to root-cause than a fuse.

Who am I becoming carries its own rule, inherited from the piece the question first came from: a real favorite question does not get answered once and filed away. It has to stay open, re-tested against whatever shows up next. The loop is what that re-testing looks like in practice. It does not answer who am I becoming. It hands the question a fresh, checkable state every time it runs, and the same loop can take in any new habit or decision that shows up later and return a situational read, without the question ever closing for good.

A positive identity, in the plainest version I have written down for myself, is an identity that meets my wants and needs in a sustainable way, the same wants and needs this article reads into five different frameworks across a century. Not a title, not a mood, a working relationship between who I am and what I need, built to hold up over a season rather than one good day.

The mechanic underneath it is small enough to run more than once a day, and it runs on gifts rather than ballots. Developing a positive identity, layer three of the ladder, needs something concrete to stand on, a gift to a future self: a small, specific thing given today that the person I am becoming can use. Every choice, the way I spend an hour, the way I answer a hard question, the way I show up on a day nothing is asking to be witnessed, is one of those gifts, and every gift given is a piece of evidence.

A Closing Invitation. Ulam’s cards, the pull scored the same way, the seven-layer ladder, and the five whys behind it were never four separate things. Each one runs the same move: not solving a question once, but asking it again until the answer holds. Pick one ordinary choice today, not a big one, what to eat, how to answer a message, whether to sit down or keep moving, and notice it as a card turned face up before you play it, not after. Notice which way you are pulled before you act, and notice whether the choice you make agrees with that pull or overrides it. Either way, it is a gift, handed to whoever you are becoming, small enough to give without ceremony. Do this again tomorrow, on a different small choice. There is no need to keep score and no target number of hands to win before anything counts. The tally never asks whether this particular round was a good one. It only asks for the next one, and adds it to the same running count it kept before, one gift at a time.

Intellectual Honesty Note. Stanislaw Ulam’s illness, his recovery, the solitaire hands, the conversation with John von Neumann, and the method’s later naming after the Monte Carlo casino are all real and drawn from the historical record, most directly Eckhardt’s 1987 account in Los Alamos Science and Ulam’s own memoir. The estimate-by-counting idea described here is genuinely the Law of Large Numbers in its original, most practical form, not a loose analogy borrowed from a different branch of mathematics. The conversation with my husband, the snakes, the question turned back on me, is real, reported as it happened. The ninety-day card count that follows it, along with the table and the chart, is illustrative, not a real tally I kept. The five whys lineage, Sakichi Toyoda’s original principle and Taiichi Ohno’s account of it in the Toyota Production System, is also real, drawn from Ohno’s own record rather than a secondhand summary. The “7 Layers of Why” ladder is my own journal material, reproduced here close to verbatim.

References

Eckhardt, R. (1987). Stan Ulam, John von Neumann, and the Monte Carlo method. Los Alamos Science, 15, 131-137.

Ohno, T. (1988). Toyota Production System: Beyond Large-Scale Production. Productivity Press.

Ulam, S. M. (1976). Adventures of a Mathematician. Charles Scribner’s Sons.