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PARK the ordinal-fidelity ladder — consumer removed (D-2026-06-20)#248

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hyperpolymath merged 1 commit into
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Jun 20, 2026
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PARK the ordinal-fidelity ladder — consumer removed (D-2026-06-20)#248
hyperpolymath merged 1 commit into
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claude/eager-heisenberg-r3gz3c

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What & why

Owner decision (D-2026-06-20): PARK the transfinite ordinal-fidelity ladder. This is a park — not a kill, not a retraction. Order-type fidelity was always flagged OPEN; D-2026-06-14 stands; no postulate is closed.

Reason — the consumer was removed. The only consumer of ψ₀(Ω_ω) order-type fidelity was the Groove cleave. Groove RC-11 forbids ε₀+ in cleave ranks (the ladder is already past ε₀ at rung 2), and the cleave has resolved to a finite exact-round-trip zipper needing well-foundedness only. The fidelity result is therefore consumer-less. The ladder is correct, well-built, --safe --without-K, zero-postulate — and now unconsumed; the clean ending is to freeze it.

Changes (docs only — no .agda touched)

The Veblen layer stays frozen exactly as landed; the mutual-descent rung is deliberately not opened.

Verification

  • Docs only; no .agda changes → Agda invariants untouched (--safe --without-K, zero postulates, no TERMINATING).
  • scripts/kernel-guard.shPASS.

🤖 Generated with Claude Code

https://claude.ai/code/session_01Rw1RpYXU5Q7rzy2bVofVeB


Generated by Claude Code

…D-2026-06-20)

Owner decision: the transfinite ordinal-fidelity ladder (Brouwer Veblen
climb rungs 1–6 + the Buchholz WF/Fidelity machinery) is PARKED, resumable.
This is a PARK — not a kill, not a retraction. Order-type fidelity was
always flagged OPEN; D-2026-06-14 stands; no postulate is closed.

Reason (consumer removed): the only consumer of ψ₀(Ω_ω) order-type
fidelity was the Groove cleave. Groove RC-11 (ordinal economy) forbids ε₀+
in cleave ranks (the ladder is already past ε₀ at rung 2), and the cleave
has resolved to a finite exact-round-trip zipper needing well-foundedness
only. The fidelity result is therefore consumer-less.

New decision record (sibling to D-2026-06-14, same idiom):
  docs/echo-types/decisions/ordinal-fidelity-ladder-parked.adoc
recording: status (parked, resumable); reason; the frozen artifact
inventory (rungs 1–6); the frontier captured for cold resumption
(Γ₀-least open; wall = reverse φ_Γ₀(0) ≤′ Γ₀ → general first-arg
monotonicity → gated on the Veblen mutual fixed-point descent lemma;
downstream the ψ collapsing function then the two Fidelity.agda
postulates); and the disposition (extraction to its own ordinal-notation
repo on the Löwe/classical side, cut FLAGGED and left to the owner — the
firewall {OmegaMarkers, Buchholz.Syntax, EchoOrdinal} is verified clean and
stays; everything else under Ordinal/ moves).

Pointers added so a cold-resume session finds the park:
  * docs/proof-debt.md — PARKED note on the Fidelity debt entry.
  * roadmap.adoc §Lane 3 — PARKED banner.
  * CLAUDE.md — new 2026-06-20 session arc (variance #243 + Veblen rungs
    3–6 #244#247 + the park).

Docs only; no .agda changes. The Veblen layer stays frozen exactly as
landed (--safe --without-K, zero postulates, no TERMINATING). The
mutual-descent rung is deliberately NOT opened. kernel-guard.sh PASS.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Rw1RpYXU5Q7rzy2bVofVeB
@hyperpolymath hyperpolymath marked this pull request as ready for review June 20, 2026 01:23
@hyperpolymath hyperpolymath merged commit 62e9d61 into main Jun 20, 2026
17 checks passed
@hyperpolymath hyperpolymath deleted the claude/eager-heisenberg-r3gz3c branch June 20, 2026 01:23
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🔍 Hypatia Security Scan

Findings: 6 issues detected

Severity Count
🔴 Critical 0
🟠 High 3
🟡 Medium 3
View findings
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    "deduction": 20
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    "severity": "medium"
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    "type": "CSA001",
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    "action": "escalate",
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    "reason": "Code-scanning alert TokenPermissionsID (high) at .github/workflows/scorecard.yml is 17 days old (threshold: 7 days) -- overdue for remediation",
    "type": "CSA003",
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    "action": "escalate",
    "rule_module": "code_scanning_alerts",
    "severity": "high"
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  {
    "reason": "Code-scanning alert hypatia/code_safety/agda_postulate dismissed as 'false positive' -- ensure dismissal is documented and justified",
    "type": "CSA004",
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    "action": "review",
    "rule_module": "code_scanning_alerts",
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]

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