{"id":"W1530236712","doi":"10.4064/cm6951-2-2017","title":"Fréchet Borel ideals with Borel orthogonal","year":2018,"lang":"en","type":"preprint","venue":"Colloquium Mathematicum","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Ideal (ethics); Countable set; Combinatorics; Borel set; Omega; Discrete mathematics; Physics","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001363199,0.001067825,0.001769973,0.0002826941,0.000369441,0.0001195293,0.00120374,0.001127104,0.001390776],"category_scores_gemma":[0.00108124,0.0008373507,0.0004077106,0.0002870951,0.001049804,0.0001587369,0.001240039,0.001396835,0.0004947107],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001833618,"about_ca_system_score_gemma":0.0005219034,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005687042,"about_ca_topic_score_gemma":0.00004806639,"domain_scores_codex":[0.995527,0.0002999805,0.001228218,0.001173046,0.0007828386,0.0009889603],"domain_scores_gemma":[0.9942776,0.001378618,0.001207135,0.002357288,0.0004678284,0.0003115317],"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":[0.0004691431,0.0008838527,0.000252222,0.003921537,0.0009926338,0.0002547368,0.003150904,0.00004480715,0.0001746668,0.9341154,0.05558055,0.0001595619],"study_design_scores_gemma":[0.0008651835,0.0002383456,0.0001107115,0.001172821,0.0004885226,0.0001861986,0.0004284031,0.0003740526,0.001108555,0.9918509,0.002125978,0.001050346],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6311898,0.0009345073,0.2258459,0.001676477,0.003064759,0.005431329,0.000788064,0.00203406,0.1290351],"genre_scores_gemma":[0.5059584,0.0001214094,0.4593229,0.001124658,0.002257516,0.001772211,0.0003709524,0.0008201322,0.02825183],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2334771,"threshold_uncertainty_score":0.9995221,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04937890330727122,"score_gpt":0.3445256230684082,"score_spread":0.2951467197611369,"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."}}