The objection

Three shapes of defeat condition, and one variant, cannot be met by any study the programme could run.

Nulls with no margin. CLAIM-115, CLAIM-139, CLAIM-005 and CLAIM-147 are each defeated when a rival predicts the judgements “as well as” the theory. That is a null hypothesis. A failure to find a difference does not show there is none, and showing that two predictors are equal needs an equivalence test: a margin δ fixed in advance, and enough data that a difference larger than δ would have been detected. Without a margin the condition is either never met, since any difference in the theory’s favour, however small, means the rival did not do “as well”, or met by any underpowered study, since no detected difference counts as “as well”. No entry in claims, questions, cases or terms states a margin, a power or a sample size. The only hits for “power” are “predictive power” and “discriminating power” (CLAIM-098, QUESTION-027).

An observable set the thesis may re-choose. CLAIM-115’s “What it does not say”: “It does not say the observables are fixed in advance”. CLAIM-128 leaves the weights of the fidelity profile to the task: its defeat condition is met if the theory forces a single weighting “instead of leaving it to be chosen per task”. So after a failure, a new set of observables or a new weighting restores the thesis. Preregistering the cover (manuscript §10, as QUESTION-005 reports) binds one study. It does not bind the thesis, whose defeat condition is stated over “pragmatic observables” in general. The exchange had the remedy and lost it. CASE-029: A49 said the failure conditions belonged in the methods “as predefined decision rules”, but “outline v4 (A52) lists only outcomes”, after U19’s instruction to withhold hedging (CLAIM-095).

Universal negatives for possibility theses. Several supporting theses say only that something can happen, and are defeated only if it never does, or if the opposite always does:

  • CLAIM-033 (a translation “can broaden” one dimension and narrow another): defeated if renderings “never gain specificity along another”;
  • CLAIM-087 (cross-modal reconstruction “can improve access”): defeated if access “never rises above the text-only baseline at any stage”;
  • CLAIM-105 (translation “may preserve local meanings” while changing global structure): defeated if preservation of the local distributions “always carries” preservation of global compatibility;
  • likewise CLAIM-117 (“never diverge”), CLAIM-081 (“always move together”), CLAIM-054 (“never separate”), CLAIM-038 (“Every empirical model”) and CLAIM-044 (“Every pattern”).

A thesis of the form “there is a case where X” is confirmed by one case and refuted only by “in no case X”, which no finite study establishes. The exchange’s own synthetic constructions were of exactly that kind: CLAIM-028 calls them “exact existence constructions for three of the manuscript’s claims”. So the proposed experiments can neither defeat these theses nor add to them beyond a construction. What the main thesis needs from them is something else. CLAIM-115 rests on CLAIM-061, and CLAIM-115’s defeat condition is comparative: for the pragmatic observables to beat text similarity in real translations, these effects must be common and large there. None of these theses states a prevalence or a magnitude.

Impossibility claims. Two defeat conditions are modal universals. CLAIM-077 is defeated if “No family of observable distinctions can be fixed independently of the transports being compared”; CLAIM-143’s second disjunct is that “no correspondence can be validated independently of the fidelity it is used to measure”. No finite record of failures shows that something cannot be done, so no study the programme could run meets these conditions; only an argument could (CLAIM-239). A variant is CLAIM-137’s: two realizations agree “on every independently anchored relational invariant tried” and are judged different acts. That can be met, but meeting it shows only that the invariants tried were incomplete, not that no invariant is complete, which is what the thesis says.

Granted, because every point is read off the wording of the defeat conditions and of CLAIM-028 and CASE-029.

What it does not say

  • It does not say these theses are false, or untestable in principle.
  • It does not say QUESTION-005 is settled either way.
  • It does not say CLAIM-095’s instruction was wrong. It says the decision rules it swept out were not hedges.
  • The remedy is the owner’s: each comparative defeated_if restated with a margin and a prespecified set of observables and weights, each possibility thesis given a claim of prevalence or magnitude that a study could defeat, and each impossibility condition replaced by an observable one.