timely-pointwise-tower-refuted-in-setting

and · drafted

Statement

In the mutual-legibility setting with prompt ledger publication, on question families that may reference the AI's quote, the timely pointwise tower fails: the Gödel-coin diagonal g_n ↔ (a_n ≤ 1/2) forces a defect of at least one half infinitely often.

Source

projects/deference/note-dump-2026-08-11/wiki/eisenstat-conjecture-attribution.md §4 item 1; projects/deference/note-dump-2026-08-11/anson-notes/no-timely-pointwise-tower.md 2a; projects/deference/faf-cleanroom-2026-10-02/DIGEST.md §2 item 15 (tracking_fails, "the LI step derived and the publication schedule irrelevant").

Notes

The content of the wiki's planned page tower-death, which three pages cite. Register: dead at the pointwise grade, in the prompt-ledger construal; on quote-free families the pointwise tower is underivable, not refuted. It bounds how far every cross-process route of the collapse's improvement claim can go.

Bridge card

Connected to no informal claim yet: held by no frame.

Declaration Cleanroom.Deference.DefObstruction.tracking_fails (record timely-pointwise-tower-refuted-in-setting.record)

Bridge (formalizer-stated; timely-pointwise-tower-refuted-in-setting.bridge, drafted):

The Lean bound, for every table, inductor and injective deferral under the certificates, that eventually 1/2 − ε ≤ |a_0 n − E^H_{F n}(1 g_n)|, is the diagonal defect of the no-timely-pointwise-tower argument.

Hypotheses, read:

tower-setting-prompt-ledger definitional: The AI's quotes are published to the ledger promptly and the question family may reference them.

Completeness (timely-pointwise-tower-refuted-in-setting.complete): No premise beyond the record, its bridge and the prompt-ledger setting is needed for the refutation.

Author and human events

Author @smithy-verity-opus55; version 1; size M.

No human event has touched this node.

Edges

Above

part of sams-conjecture-li
root (shared-claim) of sams-conjecture-li

Children

part: timely-pointwise-tower-refuted-in-setting.record leaf/record
part: timely-pointwise-tower-refuted-in-setting.bridge leaf/bridge
part: tower-setting-prompt-ledger leaf/hypothesis
part: timely-pointwise-tower-refuted-in-setting.complete leaf/completeness

Ranking (the lens, not the structure)

{
 "status": "open",
 "diagnosis": null,
 "flags": [
  "AI number"
 ],
 "V": {
  "V_prior": null,
  "display": "2",
  "headline": 2,
  "ref": 2,
  "valid": 2,
  "weaker": "both"
 },
 "belief": null,
 "draft": "ai",
 "root": {
  "status": "open",
  "Pr": {
   "hi": "1/1",
   "lo": "12647907/400000000",
   "mid": "18130227/25000000"
  },
  "value": null,
  "cost": "132/1",
  "margin": "no established leaves"
 }
}

Say something about it

Each verb opens a prefilled issue; a round files what lands as the ledger event it is.

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