{"schema_version":1,"experiment_id":"eoa_inverse_innovation_exp03_full320_20260801","cell_id":"invariant_mode_decomposition_design__philosophy","trajectory_id":"R","attempt_index":0,"archetype_slug":"invariant_mode_decomposition_design","domain_slug":"philosophy","decision":"CANDIDATE","problem_id":"coupled_commitment_blindness_in_dialectical_revision","causal_lever_id":"locally_stable_commitment_mode_targeting","proposal":{"problem":"In complex philosophical positions, objections are commonly evaluated thesis by thesis even though revisions may propagate through coupled clusters of premises, distinctions, and conclusions. This can leave reviewers unable to identify which joint commitments make a position resilient or brittle across successive objection-and-reply cycles.","actors_substrate":["philosophers and argument authors","reviewers, editors, and seminar participants","consented argument maps and revision records","graded vectors of commitments, reasons, and inferential links"],"observable_state":"Across comparable objection-and-reply episodes, several commitments repeatedly change together, isolated thesis-level critiques poorly predict downstream revisions, and apparently minor combinations precede disproportionate contradiction, withdrawal, or reconstruction of the position.","consequence":"Review effort chases salient individual claims, coupled vulnerabilities remain hidden until late in the dialectic, and descriptive compression may be mistaken for evidence about philosophical truth.","affected_objective":"Earlier, more reproducible identification of structurally brittle commitment clusters while preserving reason-responsive human judgment and visibility of unexplained revisions.","structural_mapping":[{"archetype_element":"transformation acting on coupled variables","domain_realization":"A bounded objection-and-reply episode maps a pre-objection vector of graded commitments to a post-reply vector.","claim_kind":"HYPOTHESIS"},{"archetype_element":"invariant directions","domain_realization":"Approximately recurring combinations of commitments that retain their joint pattern while being amplified, damped, or reversed across locally comparable episodes.","claim_kind":"HYPOTHESIS"},{"archetype_element":"modal gain and stability","domain_realization":"Estimated persistence or growth of each commitment combination over successive dialectical updates.","claim_kind":"INFERENCE"},{"archetype_element":"action-relevant modal intervention","domain_realization":"Reviewers test objections aimed at a coupled commitment pattern rather than merely at its most visible thesis.","claim_kind":"HYPOTHESIS"},{"archetype_element":"residual and drift governance","domain_realization":"Unexplained revisions, mode rotation, and regime changes prevent the model from being treated as a theory-independent verdict.","claim_kind":"INFERENCE"}],"component_map":[{"component":"Transformation Scope","status":"adapted","domain_realization":"One specified genre, topic, and objection-reply stage; no claim of universal philosophical dynamics."},{"component":"State-Vector Definition","status":"adapted","domain_realization":"Predeclared graded commitments and inferential dependencies, coded with adjudicated uncertainty."},{"component":"Invariant Mode Basis","status":"adapted","domain_realization":"Approximate joint-commitment directions of the fitted local update operator."},{"component":"Modal Gain Spectrum","status":"direct","domain_realization":"Eigenvalue magnitude and sign/phase estimates with uncertainty."},{"component":"Dominant Mode Selection Rule","status":"direct","domain_realization":"Retain modes meeting preregistered predictive-consequence and reconstruction thresholds."},{"component":"Stable/Unstable Mode Partition","status":"adapted","domain_realization":"Classify locally decaying, persistent, oscillatory, and growing revision patterns."},{"component":"Modal Intervention Map","status":"adapted","domain_realization":"Map candidate objections to the modes whose coordinates they are predicted to perturb."},{"component":"Reconstruction Residual Check","status":"direct","domain_realization":"Compare observed commitment revisions with reconstructions on held-out episodes."},{"component":"Mode Drift Monitor","status":"direct","domain_realization":"Re-estimate mode alignment and ordering across topics, stages, and time blocks."},{"component":"Interpretation Scope Contract","status":"direct","domain_realization":"Modes describe revision regularities, not truth, validity, sincerity, or psychological necessity."},{"component":"Mode-Coupling Register","status":"direct","domain_realization":"Record near-degeneracy, non-normal cross-effects, coder dependence, and objection interactions."},{"component":"Local Linearization Window","status":"adapted","domain_realization":"Only small revisions within a fixed dialectical genre and stage are modeled linearly."},{"component":"Spectral Gap Threshold","status":"direct","domain_realization":"Preregister minimum separation and bootstrap stability required for a retained-mode interpretation."}],"mechanism_dispositions":[{"slug":"eigendecomposition_workflow","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Factor the fitted square local revision operator; require conditioning diagnostics.","counterfactual_removal":"No invariant directions or gains would connect coupled revisions to the proposed lever."},{"slug":"modal_sensitivity_sweep","disposition":"selected_load_bearing","contribution_type":"CORE_CAUSAL","adaptation_or_rejection":"Simulate small objection-coordinate perturbations and log cross-mode effects.","counterfactual_removal":"Dominant modes could not be distinguished from modes that affect the review outcome."},{"slug":"modal_stability_analysis","disposition":"selected_load_bearing","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Classify repeated revision patterns only inside the declared local window.","counterfactual_removal":"The test would lack its brittle-versus-decaying prediction."},{"slug":"mode_shape_testing","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Physical excitation and sensor identification do not transfer cleanly to reason-responsive agents.","counterfactual_removal":"No change; revisions and the fitted operator already supply observations."},{"slug":"network_spectral_centrality_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Central claims in an inferential graph need not be dynamically revision-dominant.","counterfactual_removal":"No change; node prestige is not the causal lever."},{"slug":"power_iteration_probe","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"The bounded pilot needs multiple modes and uncertainty, not a dominant-only approximation.","counterfactual_removal":"No change at pilot scale."},{"slug":"principal_component_analysis","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"Covariation can initialize exploration but variance is not dialectical transformation.","counterfactual_removal":"No causal step is lost."},{"slug":"reduced_order_model","disposition":"considered_rejected","contribution_type":"NONE","adaptation_or_rejection":"A deployable surrogate would prematurely reify tentative revision patterns.","counterfactual_removal":"The bounded comparative test remains runnable."},{"slug":"residual_reconstruction_test","disposition":"selected_load_bearing","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Test held-out prediction and inspect structured residuals, including low-frequency consequential revisions.","counterfactual_removal":"Compression could conceal precisely the revisions the method is meant to reveal."},{"slug":"singular_value_decomposition","disposition":"selected_supporting","contribution_type":"TEST_DESIGN","adaptation_or_rejection":"Use singular directions as a robustness diagnostic when the fitted operator is non-normal, not as invariant modes.","counterfactual_removal":"Transient amplification and ill-conditioned eigenbasis warnings would be missed."},{"slug":"spectral_decomposition_report","disposition":"selected_load_bearing","contribution_type":"SAFETY_GUARDRAIL","adaptation_or_rejection":"Publish coding assumptions, uncertainty, couplings, residuals, and prohibited truth interpretations.","counterfactual_removal":"Tentative descriptive modes could be laundered into philosophical authority."},{"slug":"spectral_gap_monitor","disposition":"selected_load_bearing","contribution_type":"OPERATIONAL","adaptation_or_rejection":"Track gap confidence and mode alignment across held-out blocks.","counterfactual_removal":"The basis could remain in use after its dominance or identity disappears."}],"causal_chain":["Encode comparable positions before and after bounded objections as uncertain commitment vectors.","Fit and validate a local transition operator rather than treating each thesis independently.","Extract well-conditioned approximate modes and their gains; reject modes without gap and residual support.","Sensitivity-test which small objection patterns move consequential revision outcomes and register cross-effects.","Give reviewers a nonbinding mode-targeted review cue while retaining ordinary reasons and full residual evidence.","Compare whether the cue reveals consequential coupled revisions earlier than baseline and rival methods."],"baseline":"Ordinary peer or seminar review follows salient theses, explicit inferential links, and reviewer-selected objections without a fitted joint revision model.","nearest_rival":"Static argument-network analysis ranks central premises or cut points from inferential structure but does not estimate recurring directions of revision under objection.","authority_safety":{"affected_parties":["participating authors","reviewers and coders","people or traditions represented by the analyzed arguments","later readers who might mistake patterns for verdicts"],"decision_authority":"Participating authors control consent and withdrawal; reviewers retain authority over philosophical assessment; an independent study lead enforces preregistered stopping and reporting rules.","authorized_first_step":"Run a blinded, preregistered pilot on 12 consented or synthetic argument-revision cases within one topic and genre. Train on eight, test on four, and compare baseline, static-network, and mode-guided review cues for held-out revision prediction and earlier detection of consequential coupled changes.","excluded_actions":["automated truth, validity, competence, or sincerity scores","covert persuasion or live manipulation","public ranking of named philosophers or traditions","use outside the declared genre or linearization window","suppressing minority or low-frequency arguments because they lie in residuals"],"halt_rollback":"Stop mode-guided review if held-out error exceeds baseline, residuals concentrate on consequential revisions, eigenvectors are ill-conditioned, the spectral gap fails its threshold, coder dependence dominates, or participants report material mischaracterization. Withdraw cues, preserve ordinary review, and report the failed boundary."}},"negative_tests":{"strongest_counterevidence":"Philosophical revision may be primarily responsive to semantic content, reasons, and strategic reinterpretation, with too few comparable episodes for stable transformation modes; apparent modes may mostly reflect coding conventions or shared textual templates.","analogy_break":"Unlike a passive linear system, philosophers can understand an objection, change the state vocabulary, invent distinctions, reject the framing, or revise goals. The transformation can therefore change because it is modeled, making invariance local and reflexive rather than mechanical.","failure_condition":"No reproducible, well-conditioned joint-commitment directions survive held-out topics, coder perturbations, residual inspection, and spectral-gap uncertainty.","problem_falsifier":"Claim-level review or the static argument-network rival predicts consequential revisions as well as the modal model, while joint directions show no stability beyond coding and genre artifacts.","intervention_falsifier":"Stable predictive modes exist, but reviewers given mode-targeted cues do not detect consequential coupled revisions earlier or more accurately than baseline or static-network cues.","risks":["Reifying descriptive regularities as truth or validity","Encoding dominant-school assumptions in the state vector","Mischaracterizing authors through forced commensurability","Goodharting arguments toward model-legible forms","Chilling conceptual novelty represented as residual error","Overstating causality from observational revision sequences"]},"null_rationale":null,"classification":{"candidate_kind":"TESTABLE_CONJECTURE","prior_art_status":"UNSEARCHED","evidence_maturity":"HYPOTHESIS"},"revision_change_log":{"revision_kind":"ORIGINAL","prior_problem_id":null,"prior_causal_lever_id":null,"problem_changed":false,"causal_lever_changed":false,"conceptual_changes":[],"operational_changes":[],"repairs_addressed":[]},"confidence":0.67,"generator_notes":"The fit is conditional on obtaining comparable, consented revision episodes and a locally valid operator. The proposal targets coupled dialectical revision blindness, not philosophical truth, and rejects network centrality or variance alone as substitutes for transformation modes."}