{"id":"W2889986888","doi":"10.1017/fmp.2020.12","title":"Proof of a conjecture of Galvin","year":2020,"lang":"en","type":"article","venue":"Forum of Mathematics Pi","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"Centre National de la Recherche Scientifique; Ministry of Education, India","keywords":"Conjecture; Class (philosophy); Set (abstract data type); Rational number; Real number; Infinite set","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000227194,0.0001351513,0.0006120658,0.00004621858,0.00001921214,0.000001107765,0.0002538975,0.0001206304,0.0002383136],"category_scores_gemma":[0.0008137036,0.0001102937,0.0001451588,0.0001342362,0.0002385968,0.0000431857,0.0000902612,0.0001265741,0.000004324492],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005740292,"about_ca_system_score_gemma":0.00003862928,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001020182,"about_ca_topic_score_gemma":0.000002801429,"domain_scores_codex":[0.9988489,0.00003736476,0.0006325928,0.000118816,0.0001962093,0.0001661317],"domain_scores_gemma":[0.9983611,0.0005734417,0.0006032962,0.0003143241,0.00009660659,0.0000512316],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00005473744,0.000405256,0.0001121276,0.003237094,0.0001143023,0.000002741527,0.007637762,0.0000371045,0.007664597,0.9788733,0.001542359,0.0003186193],"study_design_scores_gemma":[0.0004087911,0.0002782765,0.000003950454,0.0001381583,0.00005844373,0.000006391712,0.002295154,0.0005365728,0.2096864,0.7863512,0.0001485997,0.00008807183],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6939341,0.0004698992,0.285055,0.0020982,0.0001269087,0.001110465,0.0001667698,0.00009535664,0.01694328],"genre_scores_gemma":[0.9185981,0.000004409166,0.08114348,0.00005699368,0.00001586911,0.000006059585,0.000002402012,0.00002289532,0.0001497518],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.224664,"threshold_uncertainty_score":0.4497645,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03571780588873608,"score_gpt":0.300704584782516,"score_spread":0.26498677889378,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}