nucleation

CLAIM-052: Interpretive framing operations generally do not commute, and this can be investigated without committing to quantum probability

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Properties11
StatusProposed
Version4
Rolethesis
Warrantinterpretive
Tagsphilosophy-of-language, probabilistic-modeling
Linepragmatic-transport
Workswhat-survives-translation
SupportsCLAIM-117 — Pragmatic fidelity requires preserving the dynamics of interpretation, not only final judgements: a good transport approximately intertwines source and target framing operations under a correspondence anchored to independently measured distinctions
SupersedesCLAIM-073 — Demonstrating that interpretive framings do not commute establishes that the judgements cannot be described by one ordinary joint probability distribution
Corroborated byTHEORY-166 — In the 66 Pew surveys of 2001–2011 that varied the order of two back-to-back binary questions, question order changed the answers but not the probability of giving the same answer to both, the equality a Lüders projection model predicts for any projectors; a classical model with order events can meet the same equality, so the regularity does not by itself favour quantum over classical probability
UsesTERM-024 — noncommutativity, of events and of operations, TERM-026 — frame, as an operation on an interpretive state

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The claim

A30: “H1 — Pragmatic noncommutativity. Interpretive framing operations generally do not commute: T_f T_g ≠ T_g T_f. This can be investigated without committing to quantum probability.” Manuscript §9: “Order-dependent framing is central to pragmatic reconstruction. A prompt emphasizing camaraderie followed by one emphasizing condemnation may lead to another response distribution than the reverse order.”

What it does not say

Nothing about nonclassicality (CLAIM-041). It is untested; CASE-021 and the manuscript’s Case II (alternating frames (TERM-026)) would test it. CLAIM-117 rests on it.

Note of 2026-10-29: what holds it back

The record holds no observation of framing-order effects on pragmatic judgements: CASE-021 and the manuscript’s Case II, which would test the defeat condition, have not been run. The nearest held result, question-order effects in the Pew surveys (THEORY-166), concerns the order of survey questions, not of framing prompts, and does not show that framing operations in general fail to commute.

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