FORGE — Formally Organized Research Growing Extensibly#

FORGE is the background knowledge compiler for matheology. Where SISYF assembles existing content into audience-depth views and PROMY purifies reasoning flaws exposed by HELL, FORGE prepares the ground before new theory is written.

The name is both an acronym and a metaphor: a forge is where raw material is heated, shaped, and tempered into something strong. FORGE heats raw mathematical theory, shapes it for matheology application, and tempers it against the demands of formal rigor — producing WisdomBase sheets that the model developer brings into forge sessions where new theories are hammered out.

FORGE (background knowledge)
  ↓
Model development (forge sessions: sketch, formalize, test)
  ↓
HELL (adversarial critique)
  ↓
PROMY (purify flaws exposed by HELL)
  ↓
SISYF (compile into audience-depth views)

What FORGE Produces#

  1. WisdomBase sheets (WisdomBase — 12 Reference Sheets) — 12 concise reference guides distilling formal mathematical disciplines for applied use.

  2. Forge session prompts — adversarial prompts for developing new models (200K for quick iteration, 1M for deep work).

  3. Session LLogs (FORGE Session Documentation Protocol) — append-only audit trails recording every prompt and response from forge sessions.

Getting Started#

  • First time? Read the AHA Quickstart: Your First FORGE Session — a step-by-step walkthrough of a complete FORGE session using an imaginary Model X.

  • Need WB sheets? See the WisdomBase — 12 Reference Sheets for all 12 sheets organized by cluster, with a dependency map and loading guide.

  • Understand the commands? The LLog protocol defines 8 lifecycle commands — from FORGE:IGNITE (start) to FORGE:BANK (end):

    Command

    What it does

    FORGE:IGNITE

    Start session. Declare scope, question, zone.

    FORGE:HEAT

    Explore: gather ideas, survey the problem space.

    FORGE:STRIKE

    Formalize: write axioms, definitions, formal statements.

    FORGE:TEMPER

    Stress-test: Iron Maiden, adversarial critique, edge cases.

    FORGE:QUENCH

    Consolidate: record findings, verdicts, open questions.

    FORGE:ROUND

    Start another HEAT→QUENCH cycle within the same session.

    FORGE:BANK

    End session: write summary, proposed HELL entries, next steps.

    FORGE:EMBER

    Resume an interrupted session from its LLog.

Typical Workflow#

First-time setup (once):

  1. Run Pre-Forge: Reference Sheet Generator → produces Sheets 1–4

  2. Run Pre-Forge 2: Reference Sheet Generator — Dynamical & Structural Gaps → produces Sheets 5–8

  3. Run Pre-Forge 3: Reference Sheet Generator — Foundations & Formalization → produces Sheets 9–12

  4. Review all 12 sheets for accuracy

New theory development (per session):

  1. Identify which sheets your work needs (see WisdomBase — 12 Reference Sheets)

  2. Open a forge session (200K for quick sketch, 1M for deep work)

  3. FORGE:IGNITE → FORGE:HEAT → FORGE:STRIKE → FORGE:TEMPER → FORGE:QUENCH → FORGE:BANK

  4. Forged models enter HELL → PROMY → SISYF

FORGE Documentation

Prompts (paste into sessions)