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docs: retire the ordinal/Veblen ascent from echo-types (escalate PARK → RETIRED)
Per owner decision D-2026-06-21: the transfinite ordinal / Buchholz / Veblen ascent has outgrown the echo-types project and is no longer echo-types work. This escalates the 2026-06-20 PARK from "parked, resumable here" to RETIRED: no new ordinal rung is to be opened in echo-types; the disposition is extraction to its own ordinal-notation repo (now decided, not merely flagged; the physical cross-repo cut remains the owner's). The landed artifact stays, correct and in the green closure; order-type fidelity remains OPEN (D-2026-06-14 stands) — retirement neither closes nor over-claims it. Surfaces updated so it is unambiguous to subsequent agents + humans: - CLAUDE.md: new 2026-06-21 "read this first" ledger arc + workstream-2 reframed (RETIRED banner; "open pieces" -> frozen hand-off record). - roadmap.adoc Lane 3: header + intro PARKED -> RETIRED; disposition decided. - docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc: D-2026-06-21 superseding banner over the D-2026-06-20 PARK record. Docs-only; no proof content changed. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01GJatEm2TVFSTBEkKXmserJ
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CLAUDE.md

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@@ -72,7 +72,12 @@ Two active workstreams:
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the equivalence-record packaging `Echo-comp-pent-Σ-assoc :
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... ↔ ...` (stdlib `Function.Bundles.__`) is in place.
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2. **Ordinal track (buchholz-plan.adoc).** Target remains Bachmann–
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2. **Ordinal track — RETIRED FROM ECHO-TYPES (D-2026-06-21).** This research
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ladder *outgrew echo-types* and is no longer echo-types work: do NOT open new
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rungs here; the disposition is extraction to its own ordinal-notation repo
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(see `docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc` + the
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2026-06-21 ledger arc above). The summary below is the **frozen hand-off
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record**, not an active TODO list. *Former* target was Bachmann–
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Howard (ψ₀(Ω_ω)) as first credible milestone, stretch to ψ(Ω_Ω)
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≈ TFBO. E1–E7 landed (OT syntax, ℕ-staged closure with
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`C-monotone`, CNF with `cnf-trichotomy`, pedagogical ψ with
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alongside BT); the unbudgeted global WF theorem for `_<ᵇʳᶠ_`
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remains open.
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Open pieces on this track:
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Frozen at retirement (for the extracted repo only — NOT echo-types TODOs):
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* Full constructor set beyond the admitted core (K-limited
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shared-binder cases such as `<ᵇ-ψα`, `<ᵇ-+2`).
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* Unbudgeted `_<ᵇʳᶠ_` global WF — eliminate the explicit ℕ
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name, the commits folded in, the remaining open pieces of the
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milestone, and the proposed smallest useful next advance.
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## Current rung state (2026-06-20)
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## Current rung state (2026-06-21)
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### Session arc 2026-06-21 — Ordinal ascent RETIRED FROM ECHO-TYPES (escalates the 2026-06-20 PARK) (read this first)
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*Owner decision (D-2026-06-21).* The transfinite ordinal / Buchholz / Veblen
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ascent is **no longer echo-types work** — it has **outgrown the project**. This
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*escalates* the 2026-06-20 PARK (next arc) from "parked, resumable here" to
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**RETIRED from this repo**: we are **not continuing the climb past its current
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front**, and **no new ordinal rung is to be opened in echo-types**. The landed
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artifact stays and is correct (it compiles `--safe --without-K`, zero
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postulates, in the green closure); the *disposition* — extraction to its own
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ordinal-notation repository — is now the **decided** path, not a flag (the
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physical cross-repo cut remains the owner's). The detailed inventory + frontier
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in `docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc` (now headed
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by a D-2026-06-21 superseding banner) are the **hand-off record for that
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separate repo**, NOT a resume-here plan.
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*For subsequent agents and humans — unambiguous:* do **not** open Veblen /
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Buchholz / ordinal-collapse rungs in echo-types; do **not** treat the "open
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pieces" / "next rungs" language elsewhere in this file or in `roadmap.adoc`
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§Lane 3 as echo-types TODOs — they are retired. Order-type fidelity to ψ₀(Ω_ω)
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remains an OPEN external problem (`D-2026-06-14` stands) — retirement neither
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closes nor over-claims it; the work simply lives elsewhere now. Echo Core never
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depended on this lane (the `OmegaMarkers` / `Buchholz.Syntax` / `EchoOrdinal`
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bridge stays; everything else under `Ordinal/` is the consumer-less artifact
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that moves).
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### Session arc 2026-06-20 — variance resolution + Veblen climb rungs 3–6 + ordinal-fidelity ladder PARKED (read this first)
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docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc

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well-built, `--safe --without-K`, zero-postulate — and, as of this date,
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*unconsumed*. It is frozen at a clean rung and is fully resumable.
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[IMPORTANT]
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====
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*SUPERSEDED — D-2026-06-21: escalated from PARK to RETIRED (owner decision).*
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The ordinal / Veblen ascent has *outgrown the echo-types project* and is *no
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longer echo-types work*. We are *not continuing the climb past its current
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front*, and *no new ordinal rung is to be opened in echo-types* — so "fully
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resumable" above now means *resumable only as the separate ordinal-notation
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repository*, never here. The §"Disposition / re-home" extraction below is
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therefore the *decided* disposition, not a flag (the physical cut remains the
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owner's cross-repo operation). Nothing is over- or under-claimed: the artifact
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is correct and stays in the green closure; order-type fidelity remains OPEN
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(`D-2026-06-14` stands). Subsequent agents and humans: treat the inventory +
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frontier below as the *hand-off record for the extracted repo*, not a
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resume-here plan.
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====
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1935
toc::[]
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== Status

roadmap.adoc

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be *consumer-side at the affine instance*, not full Reynolds. See
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respective §s in the synthesis doc.
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=== Lane 3 [PARKED 2026-06-20, NOT LOAD-BEARING] — Ordinal / Buchholz
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*PARKED (`D-2026-06-20`).* The transfinite ordinal-fidelity ladder is
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*parked, resumable* — the only consumer of ψ₀(Ω_ω) order-type fidelity
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(the Groove cleave) is resolved as a finite exact-round-trip zipper
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needing well-foundedness only (RC-11 forbids ε₀+ in cleave ranks), so the
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ladder is consumer-less. The Veblen climb (rungs 1–6: `ω^^`/ε₀ → φ₁ normal
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=== Lane 3 [RETIRED FROM ECHO-TYPES 2026-06-21 — outgrew the project] — Ordinal / Buchholz
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*RETIRED FROM ECHO-TYPES (`D-2026-06-21`, escalating the `D-2026-06-20`
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PARK).* The transfinite ordinal-fidelity ladder has *outgrown the
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echo-types project* and is *no longer echo-types work* — not "parked,
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resumable here" but *retired from this repo*: no new rung is to be opened
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here, and the disposition is extraction to its own ordinal-notation repo.
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The trigger was already true at the PARK: the only consumer of ψ₀(Ω_ω)
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order-type fidelity (the Groove cleave) is resolved as a finite
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exact-round-trip zipper needing well-foundedness only (RC-11 forbids ε₀+ in
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cleave ranks), so the ladder is consumer-less. The Veblen climb (rungs 1–6: `ω^^`/ε₀ → φ₁ normal
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→ binary φ + Γ₀ → every level normal → first-arg monotonicity +
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`Γ₀ ≤′ φ_Γ₀(0)`) is frozen at a clean rung; the next rung (Veblen mutual
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fixed-point descent → Γ₀-least) is deliberately NOT opened. No postulate
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closed; order-type fidelity REMAINS OPEN (`D-2026-06-14` stands). The
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disposition is extraction to its own ordinal-notation repo (cut FLAGGED,
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left to the owner). See
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disposition is extraction to its own ordinal-notation repo (the decided
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path as of `D-2026-06-21`; the physical cross-repo cut remains the owner's). See
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`docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc`.
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*Echo Core does NOT depend on this lane.* This is a separate

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