mart-implies-value-refuted-unconditional

and · drafted

Statement

For the self-expert over FAF's logical inductor, at every strictly increasing deferral and every threshold s in the open unit interval, the tower holds on valued sources and argmax Value fails on the liar-probe menu.

Source

projects/deference/faf-cleanroom-2026-10-02/packages/def-argmax-value/def-argmax-value-report.md, Target 2 (mart_implies_value_refuted: TowerValued ∧ ¬ Value; all_epistemic_notions_hold_and_value_fails); projects/deference/faf-cleanroom-2026-10-02/DIGEST.md §2 item 14.

projects/deference/note-dump-2026-08-11/wiki/value-iff-mart.md L20: "Arrow (a), Mart ⟹ Value, is refuted at full menu-quantifier strength — not merely unproved".

Notes

The refutation of the toy collapse's unscoped second arrow for one inductor expert, which is why the toy's completeness leaf carries a low number. The surviving neighbour is the scoped theorem on conditionally stable menus.

Bridge card

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

Declaration Cleanroom.Deference.DefArgmaxValue.mart_implies_value_refuted (record mart-implies-value-refuted-unconditional.record)

Bridge (formalizer-stated; mart-implies-value-refuted-unconditional.bridge, drafted):

TowerValued is Mart on valued sources and Value is the unconditional argmax Value predicate, so the declaration refutes the unscoped Mart-implies-Value arrow of the corpus's implication diagram for the self-expert.

Hypotheses, read:

refuted-self-expert-setting definitional: The expert is the novice's own later self over FAF's logical inductor on the paper's deductive process, read through a strictly increasing deferral.

Completeness (mart-implies-value-refuted-unconditional.complete): No premise beyond the record, its bridge and the self-expert 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 deference-and-trust
root (shared-claim) of deference-and-trust

Children

part: mart-implies-value-refuted-unconditional.record leaf/record
part: mart-implies-value-refuted-unconditional.bridge leaf/bridge
part: refuted-self-expert-setting leaf/hypothesis
part: mart-implies-value-refuted-unconditional.complete leaf/completeness

Ranking (the lens, not the structure)

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  "display": "2",
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 "root": {
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  "Pr": {
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   "mid": "300832987/400000000"
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  "value": null,
  "cost": "132/1",
  "margin": "no established leaves"
 }
}

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