{"id":"W1970610329","doi":"10.1007/s00153-009-0144-4","title":"Property $${(\\hbar)}$$ and cellularity of complete Boolean algebras","year":2009,"lang":"en","type":"article","venue":"Archive for Mathematical Logic","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Subsequence; Mathematics; Combinatorics; Boolean algebra; Sequence (biology); Discrete mathematics","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":[0.0003915472,0.0001782628,0.0004708392,0.00004936694,0.0001184518,0.000007256377,0.0001806295,0.00006747305,0.00009516085],"category_scores_gemma":[0.0008650754,0.0001091366,0.0001198986,0.00004682865,0.0004230603,0.00005570016,0.00006151146,0.0001593689,0.00001556409],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000007733307,"about_ca_system_score_gemma":0.00001280994,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.171829e-7,"about_ca_topic_score_gemma":0.000001453216,"domain_scores_codex":[0.9988704,0.00009086782,0.0003921739,0.0002429856,0.0001149054,0.0002886384],"domain_scores_gemma":[0.9979804,0.001456446,0.0001309018,0.0002960038,0.00004116504,0.00009510785],"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":[0.00008924672,0.0002625787,0.00001391771,0.0002595768,0.00002414956,0.00000482111,0.0003916138,7.741263e-7,0.003584039,0.993745,0.0002336475,0.001390586],"study_design_scores_gemma":[0.0004698985,0.0004820442,0.0001363607,0.00005457527,0.00005297472,0.00003613433,0.00008447614,0.0009922668,0.00149527,0.9956805,0.0003626062,0.0001529609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08276767,0.0001172218,0.8792522,0.00138706,0.00004475568,0.001342256,0.0001012404,0.0001457254,0.03484188],"genre_scores_gemma":[0.7115299,0.000007712887,0.2873993,0.0003347721,0.0000346563,0.00002492646,0.00001474704,0.00001703418,0.000636967],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6287622,"threshold_uncertainty_score":0.445046,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07276729089638911,"score_gpt":0.3218469085121767,"score_spread":0.2490796176157876,"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."}}