org

# org

Org-mode manual (25K lines info).

## Structure

```org
* Heading 1
** Heading 2
*** TODO Task [#A]
    DEADLINE: <2025-12-25>
    :PROPERTIES:
    :CUSTOM_ID: task-1
    :END:
```

## Markup

```org
*bold* /italic/ _underline_ =verbatim= ~code~
[[https://example.com][Link]]
#+BEGIN_SRC python
print("hello")
#+END_SRC
```

## Keys

```
TAB       Cycle visibility
C-c C-t   Toggle TODO
C-c C-s   Schedule
C-c C-d   Deadline
C-c C-c   Execute/toggle
C-c '     Edit src block
```

## Export

```elisp
(org-export-dispatch)  ; C-c C-e
```

## Conceptual distinction and mapping

The logical leap is from the concrete org-mode syntax to the abstract Org category: org-mode is an Emacs implementation, while Org is the categorical structure the syntax realizes.

- Org (Category): abstract category of outline structures.
- org-mode (Emacs): concrete implementation and interaction layer.
- Analogy: org-mode : Org :: justfile : just (Just monad as execution context).
- Structure / Outliner: headings define a tree; links add cross-edges.
- Cat-enriched operad: headings act as operations; nesting composes operations.
- Morphisms: links between headings; Poly(p₁⊗...⊗pₘ, q) types a heading from m inputs to one output.



## Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

### Graph Theory
- **networkx** [○] via bicomodule
  - Universal graph hub

### Bibliography References

- `general`: 734 citations in bib.duckdb

## Cat# Integration

This skill maps to **Cat# = Comod(P)** as a bicomodule in the equipment structure:

```
Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826
```

### GF(3) Naturality

The skill participates in triads satisfying:
```
(-1) + (0) + (+1) ≡ 0 (mod 3)
```

This ensures compositional coherence in the Cat# equipment structure.