How I learn: orbiting a system until it clicks

I was studying for an accounting exam, two years into my diploma, when I asked my roommate to explain why assets equal liabilities plus equity.

Accounting had been hard from the start. After a rough period with math in high school, I had little knowledge of inventories or handling money, and the abstractions were hard to understand. I had been studying the subject, but I still could not see the logic holding its parts together.

My roommate went over the equation with me. As he explained it, I began to see that a change in one part had a related consequence elsewhere. I remember it vividly. A whole system clicked. It felt like I had been drawing a line, and at some point the line met its tail.

The breakthrough was not finally memorizing which direction a debit or credit goes. Some of those details were uncertain even when I retold the story. What stayed clear was the structure that had appeared underneath them.

Assets equal liabilities plus equity. Those were no longer three terms sitting beside an equals sign as separate facts. They belonged to one model. The events recorded in accounting did not produce isolated instructions. They had paired consequences that needed to remain coherent within the system.

That was what I had been missing. Before the conversation, accounting felt like ad hoc logic. I could receive one rule and then another without understanding why they belonged together. Once I saw the interdependence, the rules had somewhere to live. I could understand them as parts of one structure instead of carrying each one as a separate fact.

The equation can hold for a company that is unhealthy or unprofitable, so it is not a health test. What mattered to me was the coherence of the record: a transaction could affect accounts in different ways, but its consequences still belonged to the same connected system. That relationship, rather than any single direction, is what stayed with me.

Looking back, this is the distinction I was reaching for: a rule can tell me what to do in one case, while a system lets me see why that rule belongs with other rules.

It is tempting to make the conversation sound magical, but that would erase the two years before it. The explanation came after two years of exposure and connected more than one fact. The context was there before I could see its shape. The conversation made the structure visible.

By orbiting, I mean staying in contact with a system long enough for its structure to become visible. In this memory, contact accumulated before understanding did. That is how I make sense of the delay now, not a method I knew I was following at the time.

Orbiting is not passive waiting. The contact matters, and confusion by itself is not the achievement. In accounting, I had stayed engaged with a subject that remained abstract to me. When the equation finally made the relationships visible, the earlier exposure gave those relationships context.

The conversation did not replace the two years. It changed how I could organize what I had encountered during them. The material was familiar, but its shape was new to me. That is what the orbit image names in this memory: a period of contact before I could see the whole. It leaves room for a later click without pretending that time alone guarantees one.

French and English did not arrive through one breakthrough. I learned them through immersion and progression. I cannot point to one moment when either language made sense, or to a date when the learning became complete.

They crept up on me. At some point I realized that I was fluent in both languages, and eventually that I could be eloquent in them, but I do not remember when that became true. The change was too gradual for me to separate it from the immersion that produced it.

That difference keeps the accounting memory in proportion. Accounting gave me a click I can remember vividly. French and English gave me a progression that I can recognize only by looking back. The language experience was not an incomplete version of the accounting experience. It was simply a different way that learning happened in my life.

The accounting memory is one true description, not a universal formula. Some knowledge becomes visible in a particular moment. Some ability grows so gradually that I recognize the result only afterward.

Right now, I am orbiting the mathematics underneath AI. My current focus is not simply working with AI, but understanding what sits behind tokens. I am learning about tokens, neural networks, predictions, and the roles of CPUs and GPUs. I can name some of the parts, but I cannot yet explain the complete chain from A to Z.

The system has not clicked yet. I am still circling the logic behind these topics and trying to understand what connects one part to another. I hope I will eventually internalize the process as one whole and explain it clearly from beginning to end, in my own words. For now, I am making sense of the questions one by one.

When I think back to the accounting conversation, I still think of the line meeting its tail. Recognizing one system changed how I noticed relationships elsewhere, and that shift toward seeing connected dimensions is where the matrix-like thinking I want to examine next begins.

This is chapter 2 of a six-chapter epic. Chapters 1–3: who I am. Chapters 4–6: what I build. Previous: The two-hour internet slot · Next: Thinking in matrices.