ORDINATIVE SCIENCES EDUCATION · Repository ufficiale

Technology of Expressions (TE) + Ordinative Category Theory (OCT)

Fabio Ghioni · v6.0.0 · Copia del 2026-09-24

Technology of Expressions (TE) + Ordinative Category Theory (OCT)

English public mirror of a research framework for AI reasoning protocols and formal theoretical work.

Part of a Larger Ecosystem

This repository is one piece of a five-part framework. For the complete picture, see:

Repository Purpose What you'll find there
ordinative_sciences_framework Theory The complete TE framework, core ontology, and operational modules.
te-ordinative-lora Practice Code, datasets, and scripts to fine-tune an LLM into a TE-compliant ordinative agent.
te-oct-framework-en Validation English mirror of the core framework, plus OCT datasets and benchmarks.
te-ordinative-algebras-en Algebras Semantic Algebra (SA) and Proportional Algebra (PA) — the analytical operators and the proportional space they live in.
te-controfase Treatise The Technology of Counter-phase, Vol. 1 — the founding treatise of the Controfase operator, plus its bilingual LoRA dataset.

The five repositories form one framework; each holds one layer of it. Read them together.

For a full map, see ECOSYSTEM.md.

First-Time Reader Shortcut

If this is your first visit, start here:

  1. START_HERE_FIRST_TIME.md
  2. SIMPLE_GLOSSARY.md
  3. SUPER_SIMPLE_FAQ.md

What This Repository Is

This repository contains two connected layers:

  1. TE (Technology of Expressions): a documentation-first framework that defines operating principles, reasoning constraints, and modular analysis protocols for AI agents.
  2. OCT (Ordinative Category Theory): a formal research programme extending classical category theory with ordinative validity operators and validation workflows.

The claims made here are the ones the validation corpus tests: OCT theorems and reasoning protocols for agents. Model weights and fine-tuning code live in te-ordinative-lora.

Important Disambiguation

OCT in this repository means Ordinative Category Theory.
It does not refer to optical coherence tomography (medical imaging).

What You Will Find

  • Core framework documents, current loading set at the repository root: TE_BOOTLOADER_v7.1.1, TE_PROTOCOLS_v1.1, TE_CORE_v5.2.1, the modules SVP, LENS, PPRO, SCIMS, VERI, and TE_OBSERVER_v1.1
  • Ordinative Set Theory (TE_OST_v2.1), the Teleodynamics extension and the Symbol Canon (notation authority)
  • Superseded framework editions in ./ARCHIVE, kept for historical comparison (see OBJECT_REGISTRY.md)
  • OCT manuscript and validation corpus in English (./OCT)
  • Reproducibility assets and benchmark outputs (./datasets)
  • Governance and contribution files for public collaboration

The domain frameworks TE_MODULE_LEXX (ordinative validation of agreements) and TE_CASEWORK (documentary audit and investigation support), with their runtimes, are published in ordinative_sciences_framework under FRAMEWORKS/.

Start Here (New Readers)

If you are new, read in this order:

  1. START_HERE_FIRST_TIME.md
  2. INDEX.md
  3. TE_BOOTLOADER_v7.1.1.md
  4. TE_PROTOCOLS_v1.1.md
  5. TE_CORE_v5.2.1.md
  6. OCT/START_HERE_OCT.md
  7. OCT/OCT_BOOK/OCT_FOUNDATIONAL_BOOK_CHAPTER_01_v1_0.md
  8. OCT/OCT_FULL/OCT_FOUNDATIONAL_BOOK_FULL_v1_0.md
  9. OCT/validation/OCT_PUBLICATION_PROGRESS_TRACKER_v0_1.md

Publication Scope

  • Canonical TE framework documents
  • OCT corpus and working-book track
  • Validation datasets/scripts/results for OCT benchmarking
  • Governance and contribution documents

The full scope, including what stays in the vault, is in PUBLICATION_SCOPE.md.