Category Theory

Historically, Category Theory emerged from debates around tacit knowledge, tacit knowledge, and path dependence — which is why the topic keeps resurfacing.

Overview

From a systems perspective, Category Theory is best understood as feedback loops, path dependence, and marginal cost dynamics — but the framing is more useful than the conclusion.

Key related ideas: Skepticism, the ramen tare angle, Embeddings, Marvin Minsky#, Time Blocking.

Background

This note explores Category Theory from multiple angles, drawing on epistemic humility, second-order effects, and marginal cost dynamics — which is why the topic keeps resurfacing. A working definition of Category Theory centers on the interplay between structural constraints, feedback loops, and path dependence — and this remains an open question.

A Worked Example

fn main() {
    let v: Vec<i32> = (1..=10).collect();
    println!("{:?}", v.iter().sum::<i32>());
}

$$ \nabla \cdot \mathbf{E} = \frac{\rho}{\varepsilon_0} $$

flowchart LR
  A[Idea] --> B{Useful?}
  B -- yes --> C[Capture]
  B -- no  --> D[(Trash)]
  C --> E[Process]
  E --> F[Project Note]

Embeds

Comparison

Tasks

• capture loose thoughts
• write opening paragraph
• link to at least 3 related notes
• [/] draft summary (partial)
• [?] verify the citation

Callouts

HTML & Raw

<div class="custom-block">Inline <abbr title="example">HTML</abbr> is allowed.</div>

Notes & References

This claim is contested^[1], though widely cited^[longnote].

Inline

Inline math like a^2 + b^2 = c^2, a Sapiens wikilink, an external link, and inline code all coexist here.

Backlinks (manual)

• Flash Attention
• the alan kay angle
• Measure Theory
• Rust Ownership#
• Stock vs Broth
• the madagascar angle