{"id":"W2552830842","doi":"","title":"Mathematical abstraction, conceptual variation and identity","year":2015,"lang":"en","type":"article","venue":"PhilPapers (PhilPapers Foundation)","topic":"Mathematics Education and Teaching Techniques","field":"Social Sciences","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Social Sciences and Humanities Research Council of Canada","keywords":"Abstraction; Variation (astronomy); Identity (music); Computer science; Epistemology; Philosophy; Aesthetics","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.00377154,0.0004650907,0.0007204579,0.001756002,0.002400177,0.005018018,0.001204567,0.001484674,0.003282776],"category_scores_gemma":[0.006093365,0.000291359,0.0008833947,0.002003973,0.02675146,0.00960321,0.005927199,0.00326122,0.0004178818],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002439293,"about_ca_system_score_gemma":0.001536261,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002210483,"about_ca_topic_score_gemma":0.001245055,"domain_scores_codex":[0.9958845,0.002167468,0.0001983936,0.0006594631,0.0007775629,0.0003126344],"domain_scores_gemma":[0.9967142,0.00168964,0.0003682066,0.0007609854,0.0003110334,0.0001559055],"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":[0.000002067878,0.000001216668,0.00005729906,0.000009121696,0.00000184646,0.000007761072,0.0004229287,0.00009975985,0.00002430519,0.9977404,0.0001621656,0.0014712],"study_design_scores_gemma":[0.000002385606,0.000003850545,0.0001060525,0.000009627919,0.000002168873,0.00002455239,0.0001658541,0.0002232816,0.00004106731,0.9928965,0.006521206,0.000003510491],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1103403,0.01990356,0.4499173,0.02339308,0.001009036,0.00006966966,0.0002243208,0.0003656359,0.3947771],"genre_scores_gemma":[0.9647009,0.00277601,0.02314445,0.0006734077,0.0003989713,0.00007218608,0.0000980705,0.00007391878,0.008062106],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005018018,"threshold_uncertainty_score":0.01994604,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07791808260031996,"score_gpt":0.3827406188650745,"score_spread":0.3048225362647545,"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."}}