{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00548078,0.002201475,0.001933501,0.006105992,0.002675209,0.008525859,0.004671197,0.001602689,0.1039198],"category_scores_gemma":[0.01818905,0.002544746,0.002933039,0.009023549,0.002457108,0.01529572,0.008401318,0.006664835,0.05807701],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002774572,"about_ca_system_score_gemma":0.004141539,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.005169428,"about_ca_topic_score_gemma":0.005529949,"domain_scores_codex":[0.994742,0.00159625,0.000571257,0.0006139632,0.002070237,0.0004063033],"domain_scores_gemma":[0.9895439,0.005172642,0.0004199278,0.001899327,0.002482973,0.0004811619],"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":[0.0002394364,0.00007494693,0.0003040419,0.0009496184,0.00006139871,0.0002475755,0.0005997842,0.002277544,0.002453231,0.5546728,0.282704,0.1554157],"study_design_scores_gemma":[0.0001105938,0.00002957384,0.0002035739,0.0003728686,0.00004669072,0.0003204345,0.0001251257,0.01302785,0.006887041,0.3487913,0.6299665,0.0001184229],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001160858,0.001814583,0.927618,0.001001959,0.0005143732,0.0001310808,0.004607528,0.03591843,0.02723316],"genre_scores_gemma":[0.07213963,0.005166434,0.7707387,0.002018631,0.001289888,0.001291618,0.02194661,0.04443502,0.0809734],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1039198,"threshold_uncertainty_score":0.3476464,"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."}}