I’m learning mathematics. I’m not yet sure what I’m looking for.

The first version of this site was not ugly. That was part of the problem. I recognised it immediately: the large serif title, the abstract geometry, the carefully balanced oppositions. I had made things like it before. I could predict what every choice was trying to communicate.

The page seemed to know who I was before I had worked it out myself. Even my uncertainty had been turned into a tagline. The site looked finished, while the thought behind it had barely begun.

I am drawn to things I have not encountered often enough to classify: an argument that changes the question, a proof whose route I cannot anticipate, a connection between subjects that does not yet have a familiar label.

But I do not want “rare” to become an aesthetic. Once strangeness becomes a look, it is just another template. Novelty matters to me when it changes how I think, not when it merely changes the surface.

The quieter version of this site is not automatically more honest. Minimalism is also a recognisable style. It simply leaves more unresolved: two notes, several questions, and no claim that they already form a system.

Perhaps this should be the rule here: I will not write about something merely because I know how to explain it. I will write when I meet something that changes what I thought the question was. I do not yet know what that rule will produce. That is the reason to try it.

Whenever I feel confused, I want to draw a boundary around the problem. I want to name the parts, decide what can vary, and find the rule relating one thing to another. Mathematics makes this impulse precise.

I like the moment when several messy observations turn out to be instances of one structure. It feels like understanding. Sometimes it is.

But I also know how easily a clean model can make its own omissions invisible. To calculate, I first have to decide what counts. To optimize, I have to decide what matters. Those decisions do not usually come from mathematics itself.

This may be why I keep moving between mathematics and subjects that resist it: history, philosophy, literature, perhaps others I have not found yet. I do not want to use equations as decoration, or claim that mathematics secretly explains everything.

I want to know when a mathematical idea genuinely changes what I can see; where the analogy breaks; and whether the part left outside the model is noise, or the most important part of the question.

I don’t have a thesis yet. For now, that uncertainty is the subject of this notebook.