{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000205632,0.00029725,0.0002332023,0.0006605419,0.0006726486,0.002596995,0.0004122796,0.0004348333,0.006180207],"category_scores_gemma":[0.001042948,0.0001792519,0.0001809851,0.0009064211,0.003787819,0.00358907,0.0006706531,0.001516991,0.0007800876],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000729317,"about_ca_system_score_gemma":0.0006674913,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00122764,"about_ca_topic_score_gemma":0.001843019,"domain_scores_codex":[0.9998591,0.00006880139,0.000004955193,0.00002072654,0.00003657274,0.000009799557],"domain_scores_gemma":[0.999501,0.0003902201,0.00002272247,0.00002806222,0.00003304445,0.00002498659],"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":[0.0000042178,0.000003955053,0.00009135396,0.00002554184,0.000001466797,0.00003733969,0.0008695925,0.000294612,0.0002758258,0.9867458,0.002089221,0.009561103],"study_design_scores_gemma":[0.000001992448,0.000007625215,0.0007627744,0.00003266463,0.000002363241,0.0002151671,0.0005085359,0.0007395739,0.0002046122,0.9107953,0.08672327,0.000006174287],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.01783232,0.02317641,0.0370846,0.002836999,0.0003917901,0.00001683145,0.0001118208,0.00009256495,0.9184567],"genre_scores_gemma":[0.6640508,0.03292977,0.04047193,0.0005292802,0.0008996219,0.0001482983,0.0003206716,0.0001860281,0.2604636],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006180207,"threshold_uncertainty_score":0.02067482,"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."}}