{"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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001980954,0.0001632138,0.0001972278,0.0001301329,0.0007094284,0.0003581066,0.000238433,0.0001381224,0.001568005],"category_scores_gemma":[0.001903622,0.0001683604,0.000047711,0.0002693005,0.000589024,0.001379309,0.0000439079,0.0002030325,0.0004295184],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002819092,"about_ca_system_score_gemma":0.0003252331,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005225154,"about_ca_topic_score_gemma":0.0002614469,"domain_scores_codex":[0.9981391,0.0002344535,0.0003641598,0.0002998202,0.0006907036,0.0002717612],"domain_scores_gemma":[0.9986984,0.0002632512,0.0001961778,0.0002400523,0.0002808619,0.0003212637],"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":[0.000005802428,0.00009675279,0.0005249514,0.00001236101,0.00002198677,6.660018e-7,0.04550242,0.000001791683,0.0001060373,0.9500598,0.0007876602,0.002879748],"study_design_scores_gemma":[0.0006650225,0.00006329612,0.004783791,0.00004535677,0.00008577948,0.00001650178,0.02220433,0.0001468256,0.00006757378,0.8627076,0.1087113,0.0005026332],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2030443,0.0001227687,0.08390857,0.02426924,0.001690563,0.001446732,0.000006778775,0.001568249,0.6839428],"genre_scores_gemma":[0.9873017,0.00007293761,0.01014484,0.0005459745,0.0004023837,0.00005234879,0.00002520022,0.00002110098,0.001433526],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7842574,"threshold_uncertainty_score":0.9993447,"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."}}