{"id":"W2997069549","doi":"10.1007/978-3-030-25572-5_3","title":"Leibniz in Cantor’s Paradise: A Dialogue on the Actual Infinite","year":2019,"lang":"en","type":"book-chapter","venue":"Boston studies in the philosophy of science","topic":"Historical Philosophy and Science","field":"Arts and Humanities","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Cantor's diagonal argument; Infinite set; Axiom; Gödel's incompleteness theorems; Mathematics; Premise; Mathematical proof; Cantor set; Philosophy; Epistemology; Pure mathematics; Set (abstract data type); Gödel; Computer science","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.001974531,0.0004055601,0.0006364922,0.0005047698,0.0008416671,0.00007211444,0.002266403,0.0000878202,0.0001101124],"category_scores_gemma":[0.0004508949,0.0002186281,0.0001667203,0.0002222611,0.01603798,0.0002663691,0.0003243651,0.0007669862,0.0001708096],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002990583,"about_ca_system_score_gemma":0.0002652674,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001375177,"about_ca_topic_score_gemma":0.0005003004,"domain_scores_codex":[0.9968635,0.00007786842,0.0006198975,0.0006464244,0.001339955,0.0004522859],"domain_scores_gemma":[0.9971807,0.001320846,0.0003832562,0.0008694631,0.0001904542,0.00005530831],"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":[0.0000299782,0.0000470468,0.000006346945,0.0000363528,0.00001337128,0.00001232066,0.06366073,0.00001502753,0.000005676978,0.93442,0.001563431,0.000189645],"study_design_scores_gemma":[0.000244568,0.0004445322,0.00007346046,0.0006742424,0.00002663661,0.000003676079,0.002722909,0.00001357436,0.000007443959,0.8079417,0.1873872,0.0004600549],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.002671247,0.002001309,2.332812e-7,0.007899221,0.001791684,0.0006257934,0.00009569359,0.00001616706,0.9848986],"genre_scores_gemma":[0.9738908,0.0004753413,0.000004361076,0.001995922,0.0006912115,0.0000312162,0.000002016494,0.0000186115,0.02289046],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.9712196,"threshold_uncertainty_score":0.9866398,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1943160448266212,"score_gpt":0.2988772740766069,"score_spread":0.1045612292499857,"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."}}