MathOS (Control Tower) — Runtime Index + Directory (v1.0)

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TITLE: MathOS (Control Tower) — Runtime Index + Directory (v1.0)
SLUG: /mathos/
PAGE.ID: MATHOS.RUNTIME.INDEX
VERSION: v1.0
STATUS: CANONICAL_ROOT (OS)
PARENT.RUNTIME: /civos-runtime/
DEPENDS:

/mathos-runtime-canonical-lock-pack-v1-0/
RULE: MathOS is a plug-in family. No CivOS core mutation.

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MATHOS — CONTROL TOWER (v1.0)

0) WHAT THIS PAGE IS
This is the MathOS runtime index + directory.
It links the two hubs + all locked satellites, and declares the MathOS install spine.

1) INSTALL SPINE (v1.0)

MathOS Lock Pack (Core): /mathos-runtime-canonical-lock-pack-v1-0/
Hub 1: /what-is-mathematics/
Hub 2: /how-mathematics-works/

2) CORE LAW (1 line, locked)
Math is the language of invariants: it proves what stays true under legal transformations.

3) REQUIRED GATES (learning runtime)

Backtest → Diagnose (CER/KER) → Repair → Retest → Promote
Deploy (new topics / harder load) opens only after retest proof.

4) DIRECTORY (LOCKED SLUGS)
Hubs:

/what-is-mathematics/
/how-mathematics-works/

Satellites (core list):

/factorial/
/order-of-operations/
/-1-12/
/math-solver/
/math-worksheets-and-games/
/mathematicians-definitions-of-math/
/pure-vs-applied-mathematics/
/three-types-of-mathematics/
/mathematics-degree-vs-course/
/math-essay-template/

Satellites (locked additions):

/math-as-mindos/
/math-as-productionos/
/history-of-mathematics-why-it-exists/
/math-as-simulation-language/
/pccs-to-wccs-math-flight/
/symmetry-genesis-selfie-of-mathematics/

5) FAILURE TRACE (system-level, non-emotive)
Invariants weak → CER repeats → method switching (ρ↑) → LAT↑ → LS collapses → R_est>1 persists → TTC shrinks.
Repair: pause + SOP lock + error rewrite + retest gates.

6) RUNTIME FOOTER (MANDATORY)
Parent Control Tower: /civos-runtime/
MathOS Lock: /mathos-runtime-canonical-lock-pack-v1-0/
Version Map: /civos-runtime-version-map-v1-2/
Registry: /civos-registry-moduleids-and-sensors-v1-2/

Drift Tests: /civos-core-drift-tests-v1-0/

			
---
## Patch 1 — Add MathOS into Version Map
Paste into **`/civos-runtime-version-map-v1-2/`** under a new section “MathOS”.

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MathOS (Plugin Family)

MathOS Runtime Lock Pack v1.0:
/mathos-runtime-canonical-lock-pack-v1-0/
MathOS Control Tower v1.0:
/mathos/
Hubs:
/what-is-mathematics/
/how-mathematics-works/

			
---
## Patch 2 — Add MathOS into ModuleID Registry
Paste into **`/civos-registry-moduleids-and-sensors-v1-2/`**.

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MATHOS.RUNTIME.CORE → /mathos-runtime-canonical-lock-pack-v1-0/
MATHOS.RUNTIME.INDEX → /mathos/
MATHOS.HUB.WHAT_IS → /what-is-mathematics/
MATHOS.HUB.HOW_WORKS → /how-mathematics-works/

			
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## Patch 3 — Optional: list MathOS as an installed domain OS on `/civos-runtime/`
Add under “Recommended domain plug-ins”:

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Domain OS (installed / recommended):

MathOS v1.0 → /mathos/
“`

MathOS (Control Tower) — Runtime Index + Directory (v1.0)

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MATHOS — CONTROL TOWER (v1.0)

Drift Tests: /civos-core-drift-tests-v1-0/

MathOS (Plugin Family)

Recommended Internal Links (Spine)

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