{"id":"W2065342370","doi":"10.2178/bsl/1294186662","title":"Combinatorial Dichotomies in Set Theory","year":2011,"lang":"en","type":"article","venue":"Bulletin of Symbolic Logic","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":29,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Uncountable set; Dichotomy; Set (abstract data type); Compact space; Computer science; Line (geometry); Set theory; Mathematics; Epistemology; Discrete mathematics; Pure mathematics; Philosophy; Programming language; Geometry","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0007826774,0.000140303,0.0003491125,0.00008622571,0.00003909307,0.000002006839,0.0002522281,0.0001632708,0.003221182],"category_scores_gemma":[0.0006470889,0.0001167136,0.00006886398,0.00007481819,0.0003414067,0.0000149479,0.00007921114,0.0001944143,0.0001366545],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001708189,"about_ca_system_score_gemma":0.00001699029,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002575976,"about_ca_topic_score_gemma":0.000003280957,"domain_scores_codex":[0.9988829,0.0002662009,0.0003320634,0.0001810632,0.00009790847,0.0002398465],"domain_scores_gemma":[0.9988309,0.0006657245,0.0001377048,0.000291499,0.00003472392,0.00003950647],"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":[0.0002144453,0.0002042939,0.0007308531,0.0000389977,0.00001834958,0.00002190678,0.002336162,3.188779e-7,0.00005353646,0.9951083,0.00108935,0.0001834811],"study_design_scores_gemma":[0.0007722952,0.00009616559,0.001126729,0.00002809035,0.00001502302,0.00001069608,0.0007291696,5.317194e-7,0.001568945,0.9925283,0.002999227,0.0001248306],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6897234,0.0003038072,0.0007228298,0.00027925,0.000658849,0.0003895976,0.00001094627,0.0001231731,0.3077881],"genre_scores_gemma":[0.9962056,0.00003094742,0.002600539,0.0002126895,0.00005747313,0.00002631184,0.00000193272,0.00001698787,0.000847486],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3069406,"threshold_uncertainty_score":0.99769,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06802927926390441,"score_gpt":0.3017472688134853,"score_spread":0.233717989549581,"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."}}