{"id":"W1978372797","doi":"10.3390/sym3030636","title":"Symmetry and the Brown-Freiling Refutation of the Continuum Hypothesis","year":2011,"lang":"en","type":"article","venue":"Symmetry","topic":"Philosophy and History of Science","field":"Arts and Humanities","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Reductio ad absurdum; Argument (complex analysis); Probabilistic logic; Extension (predicate logic); Symmetry (geometry); Bayesian probability; Mathematical economics; Theoretical physics; Mathematics; Philosophy; Computer science; Epistemology; Physics; Artificial intelligence; Metaphysics","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":[0.000384097,0.00007351259,0.0001219168,0.00005260422,0.0004437412,0.00003135904,0.000254119,0.00002515766,0.0001855916],"category_scores_gemma":[0.0001258172,0.00003865928,0.0000726537,0.00005760735,0.001538144,0.0001472599,0.00004973108,0.0001001425,0.0000144178],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009953961,"about_ca_system_score_gemma":0.00001513199,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002007232,"about_ca_topic_score_gemma":0.0001513074,"domain_scores_codex":[0.999388,0.00006520698,0.0001641222,0.0001214338,0.0001549902,0.0001062762],"domain_scores_gemma":[0.9994354,0.000156153,0.0001292433,0.0002056923,0.00005103535,0.00002251864],"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":[0.0000364907,0.0000229155,0.0003189915,0.00002240057,0.00001749202,3.601983e-7,0.02314019,4.106768e-8,0.0001674755,0.9725086,0.000840652,0.002924367],"study_design_scores_gemma":[0.001860701,0.0001453925,0.02217815,0.0001712142,0.0002004922,0.00001257016,0.01482722,0.00007020531,0.007199691,0.8633268,0.08958603,0.0004214756],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.4132354,0.0007760424,0.000006371595,0.0006190149,0.0006688195,0.0001265063,0.000009609361,0.00002177387,0.5845365],"genre_scores_gemma":[0.9960562,0.00001490547,0.00009221368,0.0004276623,0.0001646921,0.000004312606,2.022387e-7,0.000005904122,0.003233889],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5828208,"threshold_uncertainty_score":0.5667355,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06082369886671737,"score_gpt":0.193756677099658,"score_spread":0.1329329782329406,"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."}}