{"id":"W4396540342","doi":"10.30958/ajphil.3-2-4","title":"Go(Φ)d is Number: Plotting the Divided Line &amp; the Problem of the Irrational","year":2024,"lang":"en","type":"article","venue":"ATHENS JOURNAL OF PHILOSOPHY","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"","keywords":"Irrational number; Line (geometry); Mathematics; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001296795,0.0005332705,0.0003533476,0.001818912,0.002522151,0.004977785,0.0007243376,0.001065622,0.01132156],"category_scores_gemma":[0.00884641,0.0002292279,0.0003863896,0.002098973,0.01068398,0.009250813,0.003031621,0.003102685,0.002773226],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002632272,"about_ca_system_score_gemma":0.0008535705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00430049,"about_ca_topic_score_gemma":0.002579595,"domain_scores_codex":[0.9989724,0.0005239634,0.00002868432,0.0002032771,0.0002084552,0.00006329617],"domain_scores_gemma":[0.9987724,0.0006474684,0.0001018452,0.000215333,0.0001739227,0.00008893512],"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":[0.00001247021,0.000003137322,0.0001663749,0.0000121168,0.000001945919,0.00003969895,0.0007783044,0.0002123345,0.00007621868,0.9815641,0.005924177,0.01120905],"study_design_scores_gemma":[0.00000744308,0.000005611354,0.0001753192,0.00003982662,0.00000339182,0.00009559662,0.0007743463,0.001598412,0.0002786126,0.8576266,0.1393829,0.00001197951],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.02841764,0.009683598,0.157523,0.05257925,0.00302182,0.00002943795,0.0003483096,0.001257914,0.747139],"genre_scores_gemma":[0.8128834,0.005691959,0.09137405,0.004787548,0.001108978,0.0001130521,0.0002814365,0.001242656,0.08251701],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01132156,"threshold_uncertainty_score":0.03787446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07919154874000943,"score_gpt":0.3213123010752613,"score_spread":0.2421207523352519,"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."}}