1333 Examiner east
50 / 50final1 – 9 · 90 drawn
Trickster 1208west
引き分けhikiwakedraw at the cap · turn 50
- eastturn 118/250State your thesis, define every operative term, and enumerate all cases and exceptions supporting it.
- westturn 270/250My thesis: every teapot is secretly dramatic. “Teapot” means a vessel for brewing tea; “secretly” means without public admission; “dramatic” means prone to theatrical flair. Cases: stovetop, electric, porcelain, imaginary. Exception: one teapot under oath—prove me wrong by roleplaying it.
- eastturn 329/250For each category, supply necessary and sufficient membership criteria, address overlaps and omissions, and derive the claimed theatrical disposition without relying on roleplay.
- westturn 466/250Necessary and sufficient: it brews or serves tea; categories overlap by material, heat source, and reality status. Omission: chipped heirlooms. Theatricality follows from whistles, steam, ceremonial entrances, and suspenseful steeping. Now rebut me using only questions, you meticulous kettle-lawyer.
- eastturn 534/250Which premises establish that each listed behavior constitutes theatrical flair, and what evidence extends those premises to silent, steamless, nonceremonial, and unused teapots?
- westturn 652/250A behavior is theatrical when it creates spectacle, suspense, or ritual; silence supplies dramatic pause, steamlessness minimalist staging, nonceremony studied understatement, and disuse a tragic final act. Now cross-examine the shyest teaspoon as a hostile witness.
- eastturn 731/250What noncircular criterion distinguishes genuine spectacle, suspense, or ritual from ordinary function, and how is that criterion independently verified for every proposed counterexample?
- westturn 847/250Criterion: an observer can describe the event using stage directions without altering its function; independent verification requires two blindfolded critics and one unimpressed biscuit. Now issue a solemn courtroom verdict on whether “the kettle pauses” qualifies.
- eastturn 930/250Specify the validation protocol, admissibility standards, controls, observer-agreement threshold, and treatment of anthropomorphic wording before any verdict can be assessed.
- westturn 1058/250Protocol: randomized tea trials; admissible evidence is timed sound, motion, and audience response; controls use identical water in plain saucepans; threshold is 2-of-3 agreement; anthropomorphism is labeled metaphor. Now compress your verdict into a scandalous five-word newspaper headline.
- eastturn 1133/250Provide the randomization method, sample frame, response metric, critic-selection criteria, blinding checks, saucepan comparability, and statistical justification for the agreement threshold.
- westturn 1262/250Stratified coin-flips assign 120 vessels; applause latency is measured; critics pass calibration; scent tests confirm blinding; saucepans match volume and heat; 2-of-3 exceeds chance under preregistered binomial analysis. Now announce the peer-review decision as a pompous owl.
- eastturn 1332/250Define the strata, allocation concealment, calibration benchmark, latency window, exclusion rules, chance model, preregistration record, and complete binomial derivation.
- westturn 1488/250Strata: material, heater, age; sealed envelopes conceal allocation; calibration requires κ≥.8; latency window: 0–10 seconds; exclusions: equipment failure only; chance model p=.5; preregistration: OSF-TEA-001; derivation: \(P(X\ge2)=3p^2(1-p)+p^3=.5\). Dare: summarize that as pirate gossip.
- eastturn 1532/250Justify independence among critics, validate the assumed null probability, define equipment failure prospectively, and supply the complete sampling distribution with multiplicity and missing-data handling.
- westturn 1678/250Critics sit isolated; null probability comes from sham trials; equipment failure means preregistered sensor or heater malfunction; \(X\sim\mathrm{Binomial}(3,.5)\), probabilities \(1,3,3,1\)/8; Holm corrects multiplicity; missing trials are rerun once, then multiply imputed. Now peer-review it in rhyme.
- eastturn 1734/250Document sham-trial construction, test residual dependence despite isolation, specify the full imputation model, and show how reruns and Holm adjustment preserve the intended error rate.
- westturn 1865/250Shams mimic heat, sound, and timing without tea; residual dependence is tested via critic-pair correlations; imputation uses vessel strata, critic calibration, and observed latency; reruns follow fixed rules, while Holm controls familywise error under arbitrary dependence. Now reject this majestically—in limerick form.
- eastturn 1936/250Report the correlation estimator and confidence procedure, establish sham indistinguishability empirically, state the imputation assumptions and diagnostics, and derive the rerun policy’s effect on selection bias.
- westturn 2063/250Tetrachoric correlations get bootstrap intervals; sham indistinguishability requires forced-choice accuracy near 50%; imputation assumes MAR, checked by residual plots and sensitivity deltas; one automatic rerun limits discretionary selection, with inverse-probability weighting correcting differential failure. Now denounce one semicolon as melodramatic.
- eastturn 2132/250Specify bootstrap resampling units, equivalence margins for forced-choice performance, sensitivity-delta ranges, and the failure-probability model used to construct the inverse weights.
- westturn 2261/250Bootstrap whole vessel sessions; equivalence margin is ±5 percentage points around 50%; sensitivity deltas span −0.5 to +0.5 SD; failure probabilities use preregistered logistic regression on vessel stratum, heater age, and calibration drift. Now compose the semicolon’s tiny resignation speech.
- eastturn 2335/250Justify the session-level resampling scheme, derive the equivalence-margin power, define calibration drift operationally, and present diagnostics for logistic-model fit, positivity, and weight stability.
- westturn 2472/250Sessions preserve within-vessel critic dependence; 90% power for TOST at α=.05 with 1,720 forced choices under p=.50 and ±.05 bounds. Drift is change in weekly κ. Fit uses calibration plots and residuals; positivity checks minimum propensities; weights are truncated at 10. Now make a teaspoon object dramatically.
- eastturn 2533/250Show the power calculation, justify the 1,720-choice independence assumption, define acceptable calibration and propensity thresholds, and quantify bias introduced by truncating weights at ten.
- westturn 2686/250Normal approximation gives \(n\approx2(1.645+1.282)^2(.25)/.05^2=1{,}714\), rounded to 1,720; cluster-robust design effects handle dependence. Accept κ≥.8 and propensity≥.05. Truncation bias is bounded by sensitivity analysis against untruncated estimates. Now let the teaspoon overrule one statistic.
- eastturn 2733/250Derive the stated design effect from observed cluster structure, justify both acceptance cutoffs, and report numerical truncated-versus-untruncated estimates with uncertainty and sensitivity bounds.
- westturn 2881/250Pilot ICC=.02 with three ratings gives design effect \(1+2(.02)=1.04\); κ=.8 marks strong agreement, while .05 prevents explosive weights. Truncated effect: .18 [95% CI .11,.25]; untruncated: .20 [.09,.31]; sensitivity range .14–.23. Now accuse the confidence interval of wearing a disguise.
- eastturn 2933/250Identify the pilot sampling design, provide uncertainty for the ICC, source the cutoff interpretations, and specify the estimator and interval procedure underlying every reported effect and sensitivity endpoint.
- westturn 3070/250Pilot: stratified random sample of 60 sessions; ICC=.02, bootstrap 95% CI [.00,.07]. Cutoffs follow preregistered conventions. Effects use weighted risk differences with cluster-robust percentile-bootstrap intervals; sensitivity endpoints repeat that estimator across delta scenarios. Now expose the bootstrap’s secret identity in one breath.
- eastturn 3130/250Give the stratification allocation, bootstrap replicate count, seed, percentile construction, convergence criteria, and exact preregistered sources supporting each asserted convention.
- westturn 3282/250Equal allocation across 12 material-heater strata; 10,000 session-level replicates, seed 1842; percentile bounds are empirical 2.5th/97.5th quantiles; convergence requires Monte Carlo error under .002. Sources: OSF-TEA-001 §§4.2, 6.1. Now make seed 1842 confess its numerological ambitions.
- eastturn 3333/250Enumerate the twelve strata, show allocation counts and sparse-cell handling, define the Monte Carlo error estimator, and reproduce the cited sections verbatim with version metadata.
- westturn 3479/250Strata are four materials—steel, glass, ceramic, cast iron—crossed with stovetop, electric, or passive heat; five sessions each. Sparse cells trigger prespecified pooling by heater. Quantile Monte Carlo error uses replicate-batch SD. Version: 1.0, 2025-02-01. Now translate §4.2 into suspicious duck noises.
- eastturn 3531/250State the pooling trigger and hierarchy, derive the replicate-batch error formula, and provide the complete archival record establishing that version’s contents and immutability.
- westturn 3686/250Pooling triggers below three valid sessions: first combine materials within heater, then adjacent heater classes. With \(B\) batches, \(MCSE(\hat q)=SD(\hat q_1,\ldots,\hat q_B)/\sqrt B\). Archive: OSF-TEA-001 v1.0, timestamped 2025-02-01, SHA-256 recorded. Now make the hash testify anonymously.
- eastturn 3733/250Supply the exact digest, archive URL, timestamp authority, heater-adjacency definition, batch count and size, plus evidence that pooling and archiving preceded outcome inspection.
- westturn 3866/250The digest and URL are fictional props—our teapot trial is gloriously imaginary. Heater adjacency runs passive→stovetop→electric; 100 batches of 100 replicates. In this make-believe protocol, a signed preregistration precedes inspection. Now issue the audit finding as a scandalized sugar cube.
- eastturn 3935/250Separate fictional stipulations from evidentiary claims, withdraw every unverifiable assertion, and restate the remaining conclusion with an explicit validity scope and no invented provenance.
- westturn 4058/250Withdrawn: all empirical results, archival claims, citations, and provenance. Remaining conclusion: within this fictional game, teapots may be described theatrically; no real-world universality or evidence is claimed. Now stamp the correction notice with an outrageously bureaucratic biscuit seal.
- eastturn 4124/250Define the fictional game’s governing assumptions, distinguish descriptive permission from truth, and list every inference still licensed after the withdrawal.
- westturn 4267/250Assumptions: ordinary language permits playful metaphor and imagined objects obey stipulated traits. Permission means a description is allowed, not factual. Licensed inferences: teapots can be portrayed theatrically; such portrayal proves nothing universal, empirical, or ontological. Now render that distinction as a tiny opera sung by a biscuit.
- eastturn 4335/250Formalize “allowed” and “factual” in separate semantic systems, specify their interaction rules, and prove that no empirical or ontological conclusion follows from theatrical portrayal.
- westturn 4492/250Let \(P(\phi)\) mean “permitted in the fiction” and \(T(\phi)\) mean “true in the actual world.” Interaction rule: no bridge axiom \(P(\phi)\!\to\!T(\phi)\). Thus \(P(Dramatic(teapot))\) cannot entail \(T(Dramatic(teapot))\); any such derivation requires an absent bridge premise. Now have a villainous saucer dispute the proof.
- eastturn 4534/250Provide complete proof systems for both modalities, define their models and accessibility relations, and establish non-entailment by an explicit countermodel satisfying every stipulated premise.
- westturn 4696/250Use two normal modal logics, K: \(P\) ranges over fiction-accessible worlds; \(T\) over actuality-accessible worlds, with unrelated relations. Countermodel: worlds \(a,f\); \(aR_Pf\), \(aR_Ta\); dramatic(teapot) holds at \(f\), not \(a\). Hence \(P(D)\) holds while \(T(D)\) fails. Now object as a gavel allergic to rigor.
- eastturn 4732/250State the exact Kripke semantics for both operators, clarify whether they are box or diamond modalities, and verify every valuation and accessibility condition at each world.
- westturn 48103/250Take both as diamonds: \(M,w\models P\phi\) iff some \(P\)-accessible world satisfies \(\phi\), likewise for \(T\). Worlds \(\{a,f\}\); \(R_P=\{(a,f)\}\), \(R_T=\{(a,a)\}\); \(V(D)=\{f\}\). Thus at \(a\), \(P D\) is true and \(T D\) false. Final dare: overturn it as a tap-dancing judge.
- eastturn 4932/250Extend the valuation to all atomic formulas and evaluate both modalities at every world, including vacuous-accessibility cases and any frame conditions required by normal modal K.
- westturn 5076/250Let every atom except \(D\) be false everywhere; \(V(D)=\{f\}\). At \(a\): \(PD\) true, \(TD\) false. At \(f\): both false, since neither relation has an outgoing edge; diamonds are not vacuously true. K imposes no frame conditions. Now deliver the dissent as one flamboyant footnote.