The second brain - The extended mind.

Attention is the most valuable thing in (human?) cognition, as our high level processing throughput is only 10bit/s (see The Unbearable Slowness of Being)

Note-taking makes thinking incredibly efficient, as you can offload details to persistent memory, allowing your brain to focus on what it does best: Figuring out relationships to abstract concepts.

In combination with a note-taking system, this reduces the task of the brain to identify high level relationships and occasionally look up details at various levels of abstraction.

You offload the bloat to your knowledge management-app, only having to memorize memory addresses and a local cache / working memory.

See also: cached thoughts.

michael levin gets it:

One component to building your own intuition, for having good new ideas, is to show your mind that you’re listening. Again, I have no idea why this works, how generally it works across individuals, or what the mechanism is. All I know is what my experience is and what I’ve suggested to some others for whom it’s worked. The key is that when you get an idea (while jogging, driving, or any other activity), do not let it go and don’t try to just remember it. Write it down somewhere (paper notebook or Evernote software or DevonThink or similar) and go over it later; the key is to get it out of your head, but into a form that preserves it. I’ve noticed that the more you do this, the more the ideas will come. Letting it go and forgetting about it is a signal to your mind that you don’t need ideas; a system that responds to new ideas with a ritual of getting them into a database tends to support their arrival in the future, and frees the creative mind from needing to keep hold of everything in active memory. A close cousin to this is the strategy of offloading all the existing information (ideas, plans, schedules, paper outlines, etc.) into mindmaps, databases, and other tools (see here for more details). I suspect that the more your subconscious believes that the details are safely stored and accessible, the more mind cycles are available for new ideas instead of spending their effort holding on to stuff that’s easily looked up. - src

do not make contemporary physics or other kinds of intellectual endeavour easier, they make it possible. — Neil Levy

Think about what purpose the notes serve (in general + on a per-note basis):

Note-taking styles

Textbook: Linear narrative, builds chapter-on-chapter, pedagogical. Reader starts at page 1.

Blog: Standalone posts, polished, public-facing, timestamped. Opinion-heavy.

Wiki: Reference/lookup, neutral tone, comprehensive, heavily cross-linked. Jump in anywhere.

Personal wiki: Wiki but opinionated. “Here’s how I understand X” rather than “X is defined as…“.

Second brain: Memory offload for future self. Distilled essence, not exhaustive. Links carry meaning (not just navigation). Personal perspective baked in.

My vault sits somewhere between personal wiki and second brain. Reference material (definitions, theorems) lives alongside distilled insights and random thoughts. The graph structure matters more than any single note. Notes range from polished explainers to rough stubs that exist mainly to be linked to.

Also a consideration: future AI. An AI that knows what I know can teach hyperpersonalized, collaborate hypereffectively. But also: imagine a “new web” where my AI talks to yours, and to millions of other personal knowledge-bases. Not consensus-seeking but divergent, explorative, open-ended. Like the good parts of twitter on steroids. Each AI distills insights from its unique background and perspective, then reports back: “here’s what I learned today from the knowledge bases I checked out.” AI as information mediator, curator, and collaborator. I think AIs themselves will benefit from maintaining such knowledge bases.