{"id":"W4362714430","doi":"10.5642/jhummath.ruji8696","title":"From a Doodle to a Theorem: A Case Study in Mathematical Discovery","year":2023,"lang":"en","type":"article","venue":"Journal of Humanistic Mathematics","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"McGill University","keywords":"Compass; Midpoint; Context (archaeology); Narrative; Computer science; Line (geometry); Path (computing); Epistemology; Mathematics; Philosophy; Linguistics; Geometry; History; Geography; Cartography","routes":{"ca_aff":true,"ca_fund":true,"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"],"consensus_categories":[],"category_scores_codex":[0.004326412,0.0004405382,0.001361922,0.000799694,0.0001886378,0.0001822544,0.0007378565,0.0001336764,0.0005427363],"category_scores_gemma":[0.004388631,0.0003490038,0.0003053981,0.0007522228,0.000120398,0.000317796,0.0002397235,0.0005498747,0.0003914036],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002111437,"about_ca_system_score_gemma":0.0001375724,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001744736,"about_ca_topic_score_gemma":0.0001215599,"domain_scores_codex":[0.9955425,0.0003070799,0.002314745,0.0003162762,0.0009952215,0.0005241496],"domain_scores_gemma":[0.9930375,0.004681411,0.0009278996,0.0008704129,0.0002024089,0.0002803716],"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":[0.0002015629,0.01005954,0.0001565542,0.00153598,0.0005828915,0.06457981,0.3215626,0.0001045964,0.0004890059,0.5888877,0.01136081,0.0004790036],"study_design_scores_gemma":[0.001291175,0.0006046879,0.00001998017,0.0006852528,0.0003039337,0.003822037,0.07158114,0.0008874835,0.00005132052,0.9201971,0.0001848005,0.0003710878],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9683193,0.00002240829,0.02719192,0.0001238272,0.0003303986,0.0009027639,0.00002573562,0.0001058215,0.002977854],"genre_scores_gemma":[0.9528905,0.00000308767,0.04501296,0.00004652168,0.0003534879,0.00004111024,0.000001421341,0.0001105224,0.001540389],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3313094,"threshold_uncertainty_score":0.9998962,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0833852471427473,"score_gpt":0.3549490989055137,"score_spread":0.2715638517627664,"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."}}