{"id":"W2116942026","doi":"10.2307/2695054","title":"Upper bounds for metapredicative Mahlo in explicit mathematics and admissible set theory","year":2001,"lang":"en","type":"article","venue":"Journal of Symbolic Logic","topic":"Philosophy and Theoretical Science","field":"Psychology","cited_by":30,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Indigenous and Northern Affairs Canada","keywords":"Mathematics; Set (abstract data type); Set theory; Discrete mathematics; Calculus (dental); Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.006724942,0.0007564109,0.001223725,0.004495848,0.002403849,0.007635396,0.00203204,0.00195531,0.01095089],"category_scores_gemma":[0.02870801,0.0008514832,0.001403824,0.001904952,0.006164409,0.01564891,0.008445871,0.006043869,0.00144308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003855437,"about_ca_system_score_gemma":0.0009719104,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001019839,"about_ca_topic_score_gemma":0.00119853,"domain_scores_codex":[0.9923803,0.002265044,0.0004622274,0.0008775808,0.003060376,0.0009546198],"domain_scores_gemma":[0.970912,0.01989545,0.001711468,0.003092898,0.003373259,0.001014843],"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":[0.00001437641,0.000006654684,0.0001455691,0.00003495648,0.000007028063,0.00001804675,0.0001462377,0.0008551472,0.0003181181,0.9955974,0.0003305782,0.002525888],"study_design_scores_gemma":[0.000005037217,0.000009763028,0.0001689255,0.00002894081,0.000009575582,0.00003440491,0.00005479251,0.007974834,0.0009203634,0.9885244,0.002254573,0.00001443225],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09728491,0.005135035,0.7754397,0.004491237,0.0003616618,0.0001057647,0.0004466817,0.001226017,0.115509],"genre_scores_gemma":[0.9334264,0.0009038312,0.05828055,0.0006026834,0.0004172799,0.0001359096,0.0002010703,0.0002314846,0.005800744],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01095089,"threshold_uncertainty_score":0.03663439,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06064039954745797,"score_gpt":0.3603894693762913,"score_spread":0.2997490698288334,"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."}}