{"id":"W2500800507","doi":"10.1017/cbo9780511615566.006","title":"The Natural Numbers; Transitive Closure","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":"Transitive closure; Closure (psychology); Transitive relation; Natural (archaeology); Mathematics; Computer science; Combinatorics; Geography; Political science; Archaeology; Law","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":[0.0005208319,0.0006701595,0.0004694669,0.001225216,0.001437203,0.004134742,0.0007566065,0.0006381214,0.0206465],"category_scores_gemma":[0.001519628,0.0003039864,0.0003128442,0.001682203,0.004175245,0.007239094,0.001170924,0.001942097,0.006236165],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003177373,"about_ca_system_score_gemma":0.001492109,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003706825,"about_ca_topic_score_gemma":0.004518907,"domain_scores_codex":[0.9995176,0.0001433219,0.00002446248,0.00009778134,0.0001829073,0.00003407341],"domain_scores_gemma":[0.9995849,0.0002077775,0.00003456733,0.000075895,0.00007278815,0.00002410792],"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":[0.00000458779,0.000004901585,0.00001900727,0.0001097753,0.0000013067,0.0000237313,0.0002515676,0.00009553768,0.00007449492,0.9325402,0.04328766,0.02358728],"study_design_scores_gemma":[0.000003402088,0.000004039371,0.0000683722,0.00009407404,0.000002333677,0.00007143588,0.0001463,0.0001091836,0.00008747583,0.5504976,0.4489113,0.00000437051],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0007632461,0.02334125,0.00772779,0.001997601,0.0007317658,0.00002305788,0.0002733327,0.0001533206,0.9649887],"genre_scores_gemma":[0.1882989,0.05674874,0.01845544,0.002189469,0.00279051,0.0003294896,0.001051259,0.0003963989,0.7297397],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.0206465,"threshold_uncertainty_score":0.06906945,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0251031605116041,"score_gpt":0.2158767768753725,"score_spread":0.1907736163637684,"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."}}