# Lawvere Theory

> Lawvere theories: categorical universal algebra.

- Skill: `plurigrid/lawvere-theory` (Agent Skill, multi-file: 3 files)
- Install (CLI): `npx skillmds@latest add plurigrid/lawvere-theory`
- Raw SKILL.md: https://api.skillmd.com/api/skills/plurigrid/lawvere-theory/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: plurigrid (https://skillmd.com/u/plurigrid)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/plurigrid/lawvere-theory

---

# L: Lawvere Theory

> *Lawvere theories: categorical universal algebra.*

## Directory Tree

```
lawvere-theory/
├── SKILL.md
├── clones/
├── finprod.thy
```

## GF(3) Assignment

Letter L → trit = 1

## Integration

```scheme
(define (lawvere_theory x)
  ;; Lawvere theories: categorical universal algebra.
  x)
```


---

## Autopoietic Marginalia

> **The interaction IS the skill improving itself.**

Every use of this skill is an opportunity for worlding:
- **MEMORY** (-1): Record what was learned
- **REMEMBERING** (0): Connect patterns to other skills  
- **WORLDING** (+1): Evolve the skill based on use



*Add Interaction Exemplars here as the skill is used.*


## Para(Optic) atlas

Part of: `para-mensch-commons`.