I sat down to learn poker and ended up studying psychology. I sat down to learn mathematics and ended up thinking about the philosophy of proof. In both cases, the thing I actually learned was not the thing I set out to learn, and in both cases, what I actually learned turned out to be more valuable.
This keeps happening. I pull on one thread, follow it where it leads, and arrive somewhere I did not expect. The destination is never where the syllabus said it would be. I am starting to think the syllabus is not the point.
The poker thread
A few years ago, I decided to learn poker. Not casually, seriously. I started at €0.25 online tournaments, read everything I could find, and worked my way up to €5/€10 tables over roughly two years. I ended with about €2,500 in net profit, which sounds like a modest return for two years of obsessive study, and it is. But the money was never the point, and the money is not why I am writing about it now.
What happened was a chain of digressions, each one more interesting than the last.
The first thing you learn in poker is odds. You calculate pot odds, implied odds, the probability of completing a flush draw on the turn or the river. This is arithmetic, nothing more. But the arithmetic leads you somewhere. Once you understand that a specific play has a positive expected value over hundreds of hands, you stop caring whether it works this time. You start thinking in distributions instead of outcomes. You stop asking “did I win?” and start asking “was that the right decision given what I knew?”
This is a genuinely profound shift, and poker forces it on you because the variance is so visible. You can play a hand perfectly and lose your stack. You can play it terribly and double up. After enough hands, the correlation between decision quality and short-term results becomes obviously weak, and you are forced to develop a different framework for evaluating your own choices. Poker players call this “separating decision quality from outcome quality.” Statisticians call it understanding variance. Either way, once you have internalized it, you cannot go back to evaluating decisions by their results alone. It changes how you think about career moves, relationships, investments, everything.
But that was only the first digression. The odds led to variance, and variance led somewhere I did not expect: emotions.
Once you understand that a mathematically correct play will sometimes lose and that a terrible play will sometimes win, you start noticing something uncomfortable. Even when you know the math is right, losing still makes you angry. The anger makes you play worse. Playing worse makes you lose more. Losing more makes you angrier. Poker players have a word for this spiral: tilt. And tilt is not a poker concept. It is a human one.
Recognizing tilt was a turning point for me. Not because it made me a better poker player, though it did, but because it installed a kind of internal watchdog. I started noticing when my emotional state was degrading my decision-making, not just at the table but everywhere. In arguments, in professional disputes, in the small daily negotiations that make up a life. The watchdog does not prevent the emotion. It just says: “You are tilted. Do not commit to a decision right now.” That sentence, applied consistently, has saved me more grief than any amount of poker winnings could.
And the thread kept going. Tilt led me to poker psychology books, which led me to non-verbal behavior, which led me to the physiology of fight-or-flight responses. I learned to read micro-signals in opponents: the jaw that tightens before a bluff, the breathing that changes when someone is holding a strong hand. And once you train yourself to notice these signals in others, you start noticing them in yourself. You catch your own jaw tightening before you catch your own anger. You notice your breathing shifting before you notice the anxiety underneath it. Body awareness becomes a foundation for emotional regulation, which is not something you expect to get from a card game.
I walked away from poker before it became genuinely profitable. This is a pattern I will come back to. But I walked away with something worth more than money: a set of cognitive habits that had nothing to do with cards. Process over outcomes. Variance as a fundamental feature of reality, not a bug to be eliminated. Emotion as noise that degrades signal. And the meta-skill of monitoring your own reasoning in real time.
None of this was in the syllabus. I sat down to learn pot odds. I stood up knowing how to think.
The mathematics thread
I am 37. I spent fifteen years as a translator and interpreter, toured Europe as a musician and played major festivals, and now I am retraining into electronics engineering and industrial cybersecurity. The mathematics required for my program includes complex numbers, Fourier series, Laplace transforms, differential equations, and matrix algebra. I come from a literary background. Nobody ever told me I could not do maths. I simply realized I was a language person, and I followed that thread for twenty years.
What changed was that my translation work itself became a bridge back to STEM. When you spend years researching hydraulic systems, industrial protocols, and cloud architecture in order to translate technical manuals accurately, you start building a relationship with hard science that you never had in school. The classroom had presented these subjects as abstract and disconnected. The professional context presented them as problems someone needed solved. That made all the difference.
So here I am, five months before classes start, working through Khan Academy from the ground up. And the digressions have started again.
I sat down to review exponents. Within an hour, I was deep in the question of why any number raised to the power of zero equals one. I found three different explanations: the pattern argument (each decrease in exponent divides by the base, so the pattern leads to 1), the division rule (xⁿ / xⁿ = x⁰ = 1), and the empty product (a product of zero factors is the multiplicative identity, which is 1). None of them alone is fully satisfying. Together, they are. And the experience of holding three different lenses on the same truth and feeling them click into alignment is something I recognized instantly. It is exactly what happens in translation: you hold two or three linguistic structures simultaneously and search for the point where meaning is preserved even though the surface forms are completely different. You are not memorizing a fact. You are triangulating a truth.
The thread kept pulling. Complex numbers led me to the imaginary unit i, defined as the square root of negative one. Multiplying by i rotates a point 90 degrees on the complex plane. The connection to AC circuit analysis was immediate: alternating current is a rotation, which is why electrical engineers use complex numbers to model it. Nobody drew this link explicitly in the material I was studying. It appeared because looking for structural correspondences between unrelated domains is what my brain does, and what fifteen years of cross-domain translation trained it to do.
And this is where the poker parallel becomes interesting. In poker, I followed odds into variance, variance into emotions, emotions into psychology, psychology into physiology. In mathematics, I am following exponents into proof theory, proof theory into the philosophy of mathematical truth, complex numbers into AC circuit analysis, and all of it into the realization that my literary background is not a handicap in STEM. It is a different kind of preparation.
Translation is pattern recognition and abstraction. You strip a sentence down to its meaning, discard the linguistic form, and rebuild it in a different structure. Algebra is the same operation: strip a problem down to its mathematical structure, discard the physical context, manipulate the abstract form. These are not metaphorically similar. They are the same cognitive operation applied to different material.
The myth of the two cultures, literary versus scientific, is harmful not because it underestimates literary people, but because it convinces an entire population to abandon half of human knowledge based on a label assigned in adolescence. Having a foot in both worlds now, I think the wall between them is a lot lower than either side believes.
What formal systems leave behind
Here is the pattern I am noticing. Poker and mathematics are very different activities. One is adversarial, social, played for money under time pressure. The other is solitary, precise, played for understanding against your own ignorance. But they produce the same transformation in the person who engages with them seriously.
Both teach you to separate process from outcomes. In poker, this means evaluating your play independently of whether you won the hand. In mathematics, this means checking your reasoning independently of whether you got the right answer, because you can arrive at a correct result through compensating errors, and an unverified right answer is no better than a lucky guess.
Both teach you to recognize when your own cognition is failing. In poker, this is tilt. In mathematics, it is the moment when you feel yourself building on foundations you have not cemented, three conceptual layers above your actual understanding, and you have to stop and go back. During one study session, I followed a thread from complex numbers to Euler’s formula to the expression e^(jωt), which describes rotating phasors in AC signal analysis. I could follow each step. But I could feel that I did not yet understand what the number e actually means, and I was operating above my real level. So I stopped. As a teenager, I would probably have memorized the formula and moved on. Now that I am older, I value understanding the underlying concepts far more than getting through the material quickly.
And both leave behind something that outlasts the specific skills. I no longer play poker. I will probably never play it seriously again. But the cognitive habits it built are permanent: the process orientation, the variance awareness, the emotional watchdog, the body-level self-monitoring. These are not poker skills. They are thinking skills that poker happened to install.
Mathematics is doing the same thing. I suspect I will not remember how to compute a Laplace transform ten years from now. But the habit of triangulating a concept from multiple angles until it clicks, the discipline of verifying before committing, the willingness to say “I do not understand this yet” and go back, these will stay.
Formal systems, pursued seriously, are machines for building minds. The specific system matters less than the seriousness of the engagement.
The productive digression
I want to name what is happening here, because I think it is undervalued.
The standard model of education says: here is the syllabus, learn the material, pass the exam. Digressions are inefficient. Stay on topic. Do not follow tangents.
But every significant thing I have learned in my life, I learned sideways. I learned emotional regulation from a card game. I learned the philosophy of proof from a YouTube video about exponents. I learned that my literary brain was wired for mathematical thinking by noticing that translation and algebra are the same cognitive operation. None of these insights were in any syllabus. All of them were more valuable than what the syllabus contained.
The digression is not a failure of focus. It is how understanding actually works. You pull on a thread because it interests you, and the thread leads somewhere the curriculum never would have taken you, because the curriculum does not know who you are. The curriculum teaches the same material to everyone. The digression teaches you the thing that only you would have noticed, because it depends on the specific web of connections that your particular life has built.
This is not a prescription. I am not saying everyone should quit their job and learn poker. I am saying that when you find yourself following a tangent, when the thing you sat down to study leads you somewhere unexpected, you should probably follow it. The syllabus will still be there when you get back. But the connection you just noticed might not be.
Il faut cultiver notre jardin
Voltaire ends Candide with a sentence that has followed me through this entire career pivot: “il faut cultiver notre jardin.” Tend your garden. Not because the world makes sense, not because your efforts will be rewarded, but because the tending itself is the thing.
Studying mathematics at 37 is cultivating the garden. Following a tangent from exponents to proof theory to the philosophy of irrational numbers is cultivating the garden. Recognizing, years later, that a card game taught you how to think is cultivating the garden. The garden does not care about narrative arcs. It grows because you tend it, and the best things it produces are always the ones you did not plant on purpose.
The world changed. I am changing with it. One digression at a time.
This is part of an ongoing series about career reinvention, technology, and the structures that hold civilization together. Previous articles: Nobody’s Steering, Adapt or Die, Load-Bearing Walls, The Glasswing Paradox.