{"id":"W4238400500","doi":"10.1017/cbo9781107340985.003","title":"Introduction","year":2003,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Noether's theorem; Hausdorff space; Abstract algebra; Key (lock); Perception; Algebra over a field; Mathematics; Computer science; Pure mathematics; Mathematics education; Epistemology; Philosophy; Computer security","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002554269,0.0003676784,0.0004723801,0.0001533719,0.0002202248,0.00001898497,0.0003321255,0.0004006176,0.00008027177],"category_scores_gemma":[0.00006149355,0.0004393216,0.0002445694,0.000005346044,0.0002451774,0.00006505976,0.0001032184,0.0004875103,0.0000848869],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002695448,"about_ca_system_score_gemma":0.00005013966,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002239912,"about_ca_topic_score_gemma":3.9984e-7,"domain_scores_codex":[0.9988118,0.00006423127,0.0002319175,0.0004184504,0.0002532896,0.0002202826],"domain_scores_gemma":[0.9985262,0.0001360463,0.0003171215,0.0007646034,0.0001284612,0.0001276324],"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":[0.00002208922,0.00001164803,8.956352e-9,0.0001524425,0.00007892078,0.00006026828,0.00004697036,1.480605e-7,0.00000951705,0.6333045,0.3661568,0.0001567148],"study_design_scores_gemma":[0.0002842144,0.00003288306,3.162777e-8,0.00009013582,0.0003313848,0.00004614041,0.0000261995,0.000003702363,0.0002086021,0.008737568,0.9898206,0.0004185118],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00004170395,0.00005418451,0.001814449,0.00003554836,0.0005510648,0.0003189822,0.00006045423,0.0002016046,0.996922],"genre_scores_gemma":[0.00001662691,0.00002559472,0.001505088,0.00004333862,0.0004247602,4.689317e-7,0.0000155924,0.00007551194,0.997893],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.6245669,"threshold_uncertainty_score":0.9998059,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03375148619980271,"score_gpt":0.2125233307115042,"score_spread":0.1787718445117015,"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."}}