{"id":"W2243707631","doi":"","title":"Cantor : On Ordinal Notations","year":2006,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Prevention of Organ Failure","funders":"","keywords":"Notation; Mathematics; Ordinal data; Statistics; Arithmetic","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":["metaepi_narrow","scholarly_communication"],"consensus_categories":[],"category_scores_codex":[0.004319831,0.0005193049,0.0005034264,0.0003670106,0.000532451,0.001081051,0.004122512,0.0003336996,0.00007865627],"category_scores_gemma":[0.001197197,0.0005570412,0.0003347051,0.0007757402,0.0002534688,0.0002394618,0.003713445,0.001013814,0.0001435537],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003870079,"about_ca_system_score_gemma":0.0006944506,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004287042,"about_ca_topic_score_gemma":0.003170437,"domain_scores_codex":[0.9917446,0.004499965,0.0007357998,0.001586649,0.000848024,0.0005849677],"domain_scores_gemma":[0.9897894,0.002296533,0.0005682317,0.00458531,0.002496818,0.0002637436],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001194605,0.002653342,0.00317492,0.0002366367,0.0001274128,0.00004473362,0.00863696,0.004498505,0.0004993996,0.6248675,0.01118449,0.3440642],"study_design_scores_gemma":[0.00137447,0.000003757248,0.05557807,0.002057827,0.00008451678,0.00005146555,0.00005184961,0.7788793,0.01539975,0.09650176,0.04767942,0.002337847],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02564738,0.0002919208,0.8884653,0.0178256,0.000878231,0.000616257,0.00007233685,0.000785895,0.06541709],"genre_scores_gemma":[0.5368979,0.00005882441,0.4529229,0.0002822938,0.0001110164,0.0001674563,0.0003484002,0.00005943109,0.009151791],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.7743807,"threshold_uncertainty_score":0.999956,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01592419243417603,"score_gpt":0.2332986254624455,"score_spread":0.2173744330282695,"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."}}