From 2407d3a15a10c44a5618dc73db578894e417a8cc Mon Sep 17 00:00:00 2001 From: Claude Date: Sun, 21 Jun 2026 00:44:34 +0000 Subject: [PATCH] =?UTF-8?q?docs:=20retire=20the=20ordinal/Veblen=20ascent?= =?UTF-8?q?=20from=20echo-types=20(escalate=20PARK=20=E2=86=92=20RETIRED)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 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) Claude-Session: https://claude.ai/code/session_01GJatEm2TVFSTBEkKXmserJ --- CLAUDE.md | 36 +++++++++++++++++-- .../ordinal-fidelity-ladder-parked.adoc | 16 +++++++++ roadmap.adoc | 22 +++++++----- 3 files changed, 62 insertions(+), 12 deletions(-) diff --git a/CLAUDE.md b/CLAUDE.md index 429fd8d..0b1c7f5 100644 --- a/CLAUDE.md +++ b/CLAUDE.md @@ -72,7 +72,12 @@ Two active workstreams: the equivalence-record packaging `Echo-comp-pent-Σ-assoc : ... ↔ ...` (stdlib `Function.Bundles._↔_`) is in place. -2. **Ordinal track (buchholz-plan.adoc).** Target remains Bachmann– +2. **Ordinal track — RETIRED FROM ECHO-TYPES (D-2026-06-21).** This research + ladder *outgrew echo-types* and is no longer echo-types work: do NOT open new + rungs here; the disposition is extraction to its own ordinal-notation repo + (see `docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc` + the + 2026-06-21 ledger arc above). The summary below is the **frozen hand-off + record**, not an active TODO list. *Former* target was Bachmann– Howard (ψ₀(Ω_ω)) as first credible milestone, stretch to ψ(Ω_Ω) ≈ TFBO. E1–E7 landed (OT syntax, ℕ-staged closure with `C-monotone`, CNF with `cnf-trichotomy`, pedagogical ψ with @@ -89,7 +94,7 @@ Two active workstreams: alongside BT); the unbudgeted global WF theorem for `_<ᵇʳᶠ_` remains open. - Open pieces on this track: + Frozen at retirement (for the extracted repo only — NOT echo-types TODOs): * Full constructor set beyond the admitted core (K-limited shared-binder cases such as `<ᵇ-ψα`, `<ᵇ-+2`). * Unbudgeted `_<ᵇʳᶠ_` global WF — eliminate the explicit ℕ @@ -210,7 +215,32 @@ work to `main` and refresh all documentation: name, the commits folded in, the remaining open pieces of the milestone, and the proposed smallest useful next advance. -## Current rung state (2026-06-20) +## Current rung state (2026-06-21) + +### Session arc 2026-06-21 — Ordinal ascent RETIRED FROM ECHO-TYPES (escalates the 2026-06-20 PARK) (read this first) + +*Owner decision (D-2026-06-21).* The transfinite ordinal / Buchholz / Veblen +ascent is **no longer echo-types work** — it has **outgrown the project**. This +*escalates* the 2026-06-20 PARK (next arc) from "parked, resumable here" to +**RETIRED from this repo**: we are **not continuing the climb past its current +front**, and **no new ordinal rung is to be opened in echo-types**. The landed +artifact stays and is correct (it compiles `--safe --without-K`, zero +postulates, in the green closure); the *disposition* — extraction to its own +ordinal-notation repository — is now the **decided** path, not a flag (the +physical cross-repo cut remains the owner's). The detailed inventory + frontier +in `docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc` (now headed +by a D-2026-06-21 superseding banner) are the **hand-off record for that +separate repo**, NOT a resume-here plan. + +*For subsequent agents and humans — unambiguous:* do **not** open Veblen / +Buchholz / ordinal-collapse rungs in echo-types; do **not** treat the "open +pieces" / "next rungs" language elsewhere in this file or in `roadmap.adoc` +§Lane 3 as echo-types TODOs — they are retired. Order-type fidelity to ψ₀(Ω_ω) +remains an OPEN external problem (`D-2026-06-14` stands) — retirement neither +closes nor over-claims it; the work simply lives elsewhere now. Echo Core never +depended on this lane (the `OmegaMarkers` / `Buchholz.Syntax` / `EchoOrdinal` +bridge stays; everything else under `Ordinal/` is the consumer-less artifact +that moves). ### Session arc 2026-06-20 — variance resolution + Veblen climb rungs 3–6 + ordinal-fidelity ladder PARKED (read this first) diff --git a/docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc b/docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc index f6500fa..bbd1009 100644 --- a/docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc +++ b/docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc @@ -16,6 +16,22 @@ flagged OPEN (`D-2026-06-14` stands, unchanged). The ladder is correct, well-built, `--safe --without-K`, zero-postulate — and, as of this date, *unconsumed*. It is frozen at a clean rung and is fully resumable. +[IMPORTANT] +==== +*SUPERSEDED — D-2026-06-21: escalated from PARK to RETIRED (owner decision).* +The ordinal / Veblen ascent has *outgrown the echo-types project* and is *no +longer echo-types work*. We are *not continuing the climb past its current +front*, and *no new ordinal rung is to be opened in echo-types* — so "fully +resumable" above now means *resumable only as the separate ordinal-notation +repository*, never here. The §"Disposition / re-home" extraction below is +therefore the *decided* disposition, not a flag (the physical cut remains the +owner's cross-repo operation). Nothing is over- or under-claimed: the artifact +is correct and stays in the green closure; order-type fidelity remains OPEN +(`D-2026-06-14` stands). Subsequent agents and humans: treat the inventory + +frontier below as the *hand-off record for the extracted repo*, not a +resume-here plan. +==== + toc::[] == Status diff --git a/roadmap.adoc b/roadmap.adoc index 3d222bf..4a3f14f 100644 --- a/roadmap.adoc +++ b/roadmap.adoc @@ -305,19 +305,23 @@ narrowed — no unique-mediator claim. Demand 4 ("parametricity") must be *consumer-side at the affine instance*, not full Reynolds. See respective §s in the synthesis doc. -=== Lane 3 [PARKED 2026-06-20, NOT LOAD-BEARING] — Ordinal / Buchholz - -*PARKED (`D-2026-06-20`).* The transfinite ordinal-fidelity ladder is -*parked, resumable* — the only consumer of ψ₀(Ω_ω) order-type fidelity -(the Groove cleave) is resolved as a finite exact-round-trip zipper -needing well-foundedness only (RC-11 forbids ε₀+ in cleave ranks), so the -ladder is consumer-less. The Veblen climb (rungs 1–6: `ω^^`/ε₀ → φ₁ normal +=== Lane 3 [RETIRED FROM ECHO-TYPES 2026-06-21 — outgrew the project] — Ordinal / Buchholz + +*RETIRED FROM ECHO-TYPES (`D-2026-06-21`, escalating the `D-2026-06-20` +PARK).* The transfinite ordinal-fidelity ladder has *outgrown the +echo-types project* and is *no longer echo-types work* — not "parked, +resumable here" but *retired from this repo*: no new rung is to be opened +here, and the disposition is extraction to its own ordinal-notation repo. +The trigger was already true at the PARK: the only consumer of ψ₀(Ω_ω) +order-type fidelity (the Groove cleave) is resolved as a finite +exact-round-trip zipper needing well-foundedness only (RC-11 forbids ε₀+ in +cleave ranks), so the ladder is consumer-less. The Veblen climb (rungs 1–6: `ω^^`/ε₀ → φ₁ normal → binary φ + Γ₀ → every level normal → first-arg monotonicity + `Γ₀ ≤′ φ_Γ₀(0)`) is frozen at a clean rung; the next rung (Veblen mutual fixed-point descent → Γ₀-least) is deliberately NOT opened. No postulate closed; order-type fidelity REMAINS OPEN (`D-2026-06-14` stands). The -disposition is extraction to its own ordinal-notation repo (cut FLAGGED, -left to the owner). See +disposition is extraction to its own ordinal-notation repo (the decided +path as of `D-2026-06-21`; the physical cross-repo cut remains the owner's). See `docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc`. *Echo Core does NOT depend on this lane.* This is a separate