Room for God & Others
Thoughts

Meaninglessness and Finite Fields

Abusing notation 15% of my brain Read against the machine

AI-generated night scene of a small desk floating on dark water, with a glowing finite lattice rising from a chalkboard like constellations.
Illustration generated with ChatGPT by OpenAI, prompted and selected by Greg Conrad Smith, 2026.

I spent two hours reading, thinking, and SageMath-ing about finite fields of order (q=p^n) being vector spaces over (F_p). This was quite fun and helpful. I could say it was for my matroids class, but that is not what made it fun.

What made it fun was that I was working to understand something new. My understanding moved forward. I now know more than I did before. I could explain this to someone if someone wanted.

So it is not that I have no interest in anything. It is not really meaninglessness that is the problem. My thinking about finite fields is as meaningless as anything else. It is just that I need to keep learning.