{"id":"W2972518545","doi":"10.1007/978-3-030-22537-7_10","title":"The Topology of Mathematics in the Mind and Its Interaction with Verbal and Written Language","year":2019,"lang":"en","type":"book-chapter","venue":"Mathematics in mind","topic":"Cognitive and developmental aspects of mathematical skills","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Topology (electrical circuits); Computer science; Linguistics; Cognitive science; Psychology; Mathematics education; Mathematics; Philosophy; Combinatorics","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":[0.001132207,0.0004394966,0.0008258943,0.0001844049,0.00007393891,0.00007329465,0.000344525,0.0002813501,0.0002077986],"category_scores_gemma":[0.0005352561,0.0002465197,0.00007450005,0.00007876587,0.0002949559,0.00008647667,0.0002321014,0.0005962175,0.00005489149],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006499408,"about_ca_system_score_gemma":0.00005719523,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000485482,"about_ca_topic_score_gemma":0.0004241474,"domain_scores_codex":[0.9978611,0.00004977383,0.00095142,0.0003435162,0.0004824766,0.0003116414],"domain_scores_gemma":[0.9935294,0.005336993,0.000560979,0.0004423117,0.00008246364,0.00004782041],"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":[0.0001017206,0.0008306056,0.00008360862,0.004195419,0.0003251677,0.0002151339,0.07036353,6.397616e-7,0.0001854038,0.9092787,0.0002874173,0.01413265],"study_design_scores_gemma":[0.001655572,0.0004219785,0.000130852,0.005401362,0.0003182317,0.0006727502,0.033612,0.0006287765,0.001130329,0.9534026,0.00178143,0.000844123],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5896445,0.001347129,0.0002291128,0.0006140508,0.0001158742,0.002555372,0.00006205479,0.00001346078,0.4054185],"genre_scores_gemma":[0.7776322,0.001341089,0.06077651,0.0002342461,0.0002438053,0.0001844977,0.0000484523,0.0004011146,0.159138],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2462804,"threshold_uncertainty_score":0.9999987,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02806877701443625,"score_gpt":0.2970848151062489,"score_spread":0.2690160380918126,"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."}}