{"id":"W2483643584","doi":"10.1017/cbo9780511615566.005","title":"The Axiom of Choice","year":2003,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Philosophical Ethics and Theory","field":"Arts and Humanities","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Axiom of choice; Zermelo–Fraenkel set theory; Axiom independence; Mathematical economics; Urelement; Axiom; Mathematics; Computer science; 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":[],"consensus_categories":[],"category_scores_codex":[0.0001697211,0.0002226824,0.0002688753,0.00006265831,0.0005239154,0.00005811698,0.0004776065,0.0002025323,0.00002952062],"category_scores_gemma":[0.00002317573,0.0001841658,0.0002295249,0.000001626607,0.001453438,0.00004042874,0.0001650148,0.0005634674,0.000012268],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004316023,"about_ca_system_score_gemma":0.00005910129,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001579683,"about_ca_topic_score_gemma":0.00002602422,"domain_scores_codex":[0.9991395,0.00004685654,0.0001736201,0.0002271771,0.000233425,0.0001793867],"domain_scores_gemma":[0.9986552,0.0003428925,0.0002267352,0.0004522576,0.0002411932,0.00008171843],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003078133,0.000005736852,3.515379e-8,0.00004395839,0.0001273197,0.00001806487,0.0002209121,1.410808e-7,0.000002860214,0.9917328,0.007482054,0.0003353448],"study_design_scores_gemma":[0.000200295,0.00003533703,3.130876e-7,0.0000795541,0.0001138199,0.000001202675,0.00005516546,0.000002606829,0.00003114685,0.02018281,0.9790928,0.0002049764],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0000227802,0.0003368378,0.000007066155,0.0001673429,0.0004415697,0.0001667238,0.0002495143,0.00003617656,0.998572],"genre_scores_gemma":[0.008111465,0.000169901,0.000001836478,0.0002001247,0.0002958666,2.924538e-7,0.00001049354,0.00003023269,0.9911798],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.9716107,"threshold_uncertainty_score":0.7510065,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04722474434784691,"score_gpt":0.202439346041864,"score_spread":0.1552146016940171,"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."}}