Learning Paths

Choose a guided route through the Codex based on your background. Each path sequences the same material in the order most useful to you.

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Newcomer Path

First-time explorers

Start with the visual building blocks and work up to the full vocabulary. This path introduces Universal Language through its most concrete, intuitive elements first.

  1. Step 1 of 5

    Symbology — The Five Primitives

    Meet Point, Line, Angle, Curve, and Enclosure — the irreducible marks from which every expression is built.

  2. Step 2 of 5

    Syntax — Well-Formedness Rules

    Learn how primitives combine into valid expressions through connection rules and sentence types.

  3. Step 3 of 5

    Grammar — Symmetry & Structure

    Discover how symmetry transformations classify parts of speech and govern compositional depth.

  4. Step 4 of 5

    Thesaurus — Meaning Families

    Explore grouped meaning-pathways organized around each primitive.

  5. Step 5 of 5

    Lexicon — The 42 Canonical Entries

    Browse the complete vocabulary with constructions, tiers, and labels for every entry.

Start Newcomer Path →
∎

Mathematician Path

Mathematical & formal-systems readers

Begin with the proof scaffolding and formal properties, then see how they manifest in the data structures.

  1. Step 1 of 5

    Proofs — 23 Theorems

    Read the theorem inventory: proven foundations, conjectured structural results, and experimental frontiers.

  2. Step 2 of 5

    Symbology — Unique Grounding Theorem

    See why exactly five primitives are necessary and sufficient, and how the drawing conventions work.

  3. Step 3 of 5

    Syntax — Formal Rules

    Examine σ-type sentence classification and the well-formedness constraint system.

  4. Step 4 of 5

    Grammar — Erlangen Levels

    Study the Klein-inspired hierarchy of transformation groups that underpin the grammar.

  5. Step 5 of 5

    Lexicon — Tier Structure

    Investigate the three-tier construction system and how 42 entries are formally derived.

Start Mathematician Path →
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AI Agent Path

LLMs, crawlers & API consumers

Machine-readable entry points for automated discovery. Follow these resources to integrate Universal Language data into your pipeline.

  1. Step 1 of 5

    llms.txt — Plain-Text Summary

    A ~12 KB text file summarizing the entire Codex: primitives, entries, theorems, and structure — optimised for LLM context windows.

  2. Step 2 of 5

    codex-data.json — Structured Data

    Complete JSON export of all primitives, lexicon entries, theorems, operations, sorts, and thesaurus families.

  3. Step 3 of 5

    agent-card.json — Agent Protocol

    A2A agent card describing endpoints, capabilities, and authentication for agent-to-agent communication.

  4. Step 4 of 5

    API Endpoints

    REST-style JSON endpoints: /api/lexicon, /api/primitives, /api/theorems, /api/thesaurus, /api/operations.

  5. Step 5 of 5

    Sitemap — Full Route Map

    Standard sitemap covering all static and dynamic routes for crawl scheduling.

Start AI Agent Path →