---
slug: oip-invariant-9-39-recursion-self-reference-strange-loops
title: Invariant 3.9 — 3.9 Recursion / self-reference / strange loops
canonical: https://miscsubjects.com/a/oip-invariant-9-39-recursion-self-reference-strange-loops
---

# Invariant: 3.9 Recursion / self-reference / strange loops

### 3.9 Recursion / self-reference / strange loops
Structures that refer to, and reproduce, themselves. **Sources:** Gödel (incompleteness); Turing; von Neumann (self-replicators); Hofstadter (strange loops); the quine; DNA. **Domains:** math, logic, computation, mind, biology. **Dual:** flat hierarchy / no self-reference. **Tier:** T0/T1. **Falsifier:** n/a (theorem-backed). **Maps:** A₁₂, A₈, the cosmic loop (mind modeling the cosmos that made it).

---

## Corpus map
- Same invariant, other planes: [Catalogue node C08](/a/oip-node-c08-recursion-self-reference-strange-loops) · [Encyclopedia C08](/a/convergence-encyclopedia-c08)
- Inventory hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)
