{"id":"W4403527981","doi":"10.1016/j.apal.2024.103525","title":"Bi-colored expansions of geometric theories","year":2024,"lang":"en","type":"article","venue":"Annals of Pure and Applied Logic","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Iran National Science Foundation; Iran's National Elites Foundation; Fields Institute for Research in Mathematical Sciences","keywords":"Colored; Mathematics; Pure mathematics; Sociology","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006282107,0.0001286581,0.0003458648,0.0002244952,0.00005899615,0.00001197875,0.0001268644,0.00009604386,0.0001752504],"category_scores_gemma":[0.0001760234,0.00009434232,0.00009313941,0.0003923049,0.0002051138,0.00004424858,0.00004775593,0.0001056037,0.00001582158],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000002717507,"about_ca_system_score_gemma":0.00002353814,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.748061e-7,"about_ca_topic_score_gemma":0.000001052934,"domain_scores_codex":[0.9991844,0.00002882568,0.0003226263,0.000155694,0.0001597871,0.0001487168],"domain_scores_gemma":[0.9988087,0.0007751659,0.0001068966,0.0002099026,0.00005074462,0.00004859255],"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":[0.00002139943,0.0001116863,0.000002294772,0.0007606653,0.00006306294,0.000003742079,0.001665643,0.0000022014,0.002526835,0.9869834,0.004096218,0.003762909],"study_design_scores_gemma":[0.00008442046,0.00009420648,0.00001473244,0.0000883503,0.00004974581,0.000004783531,0.0007866201,0.00001161092,0.01844763,0.9765567,0.003760198,0.0001010737],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9145463,0.004903998,0.005698748,0.0004964995,0.0001564636,0.0003683876,0.00005105709,0.0001435653,0.07363494],"genre_scores_gemma":[0.9968056,0.0001988245,0.002192295,0.00008657723,0.00003896212,0.00001469999,0.000002783597,0.00001505825,0.0006451685],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0822593,"threshold_uncertainty_score":0.3847168,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08875443143808873,"score_gpt":0.3317888907195749,"score_spread":0.2430344592814862,"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."}}