{"id":"https://openalex.org/W4253131964","doi":"https://doi.org/10.1007/0-387-28273-4","title":"Conflicts between Generalization, Rigor, and Intuition","display_name":"Conflicts between Generalization, Rigor, and Intuition","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W4253131964","doi":"https://doi.org/10.1007/0-387-28273-4","mag":"1601970396"},"language":"en","primary_location":{"id":"doi:10.1007/0-387-28273-4","doi":"https://doi.org/10.1007/0-387-28273-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/0-387-28273-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210187626","display_name":"Sources and studies in the history of mathematics and physical sciences","issn_l":"2196-8810","issn":["2196-8810","2196-8829"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sources and Studies in the History of Mathematics and Physical Sciences","raw_type":"book"},"volume":null,"type":"book","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081670985","display_name":"Gert Felix Schubring","orcid":"https://orcid.org/0000-0002-4093-1091","observed_orcids":["https://orcid.org/0000-0002-4093-1091"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]},{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE","US"],"is_corresponding":true,"raw_author_name":"Gert Schubring","raw_affiliation_strings":["California Institute of Technology Pasadena, CA 91125 USA","Division of the Humanities and Social Sciences 228-","Institut fu \u00a8r Didaktik der Mathematik Universita \u00a8t Bielefeld Universita \u00a8tstra\u00dfe 25 D-33615 Bielefeld Germany"],"raw_orcid":"https://orcid.org/0000-0002-4093-1091","affiliations":[{"raw_affiliation_string":"California Institute of Technology Pasadena, CA 91125 USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Division of the Humanities and Social Sciences 228-","institution_ids":[]},{"raw_affiliation_string":"Institut fu \u00a8r Didaktik der Mathematik Universita \u00a8t Bielefeld Universita \u00a8tstra\u00dfe 25 D-33615 Bielefeld Germany","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5081670985"],"corresponding_institution_ids":["https://openalex.org/I122411786","https://openalex.org/I20121455"],"apc_list":null,"apc_paid":null,"fwci":1.9781,"has_fulltext":false,"cited_by_count":178,"citation_normalized_percentile":{"value":0.91374046,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9829000234603882,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T14475","display_name":"History of Science and Medicine","score":0.009399999864399433,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11137","display_name":"Historical Philosophy and Science","score":0.0017000000225380063,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"generalization","score":0.8489999771118164},{"id":"https://openalex.org/keywords/mathematical-rigor","display_name":"mathematical rigor","score":0.8349999785423279},{"id":"https://openalex.org/keywords/intuition","display_name":"intuition","score":0.8560000061988831},{"id":"https://openalex.org/keywords/history-of-mathematics","display_name":"history of mathematics","score":0.7260000109672546},{"id":"https://openalex.org/keywords/philosophy-of-mathematics","display_name":"philosophy of mathematics","score":0.6790000200271606}],"concepts":[{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.6943111419677734},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5379979610443115},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.4242556691169739},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.3895612955093384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35307395458221436},{"id":"https://openalex.org/C188147891","wikidata":"https://www.wikidata.org/wiki/Q147638","display_name":"Cognitive science","level":1,"score":0.23554274439811707},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.19098547101020813}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/0-387-28273-4","doi":"https://doi.org/10.1007/0-387-28273-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/0-387-28273-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210187626","display_name":"Sources and studies in the history of mathematics and physical sciences","issn_l":"2196-8810","issn":["2196-8810","2196-8829"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sources and Studies in the History of Mathematics and Physical Sciences","raw_type":"book"},{"id":"pmh:oai:cds.cern.ch:1638078","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1638078","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:dial.uclouvain.be:ebook:161","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2078/ebook:161","pdf_url":null,"source":{"id":"https://openalex.org/S4306401902","display_name":"Digital Access to Libraries (Universit\u00e9 catholique de Louvain (UCL), l'Universit\u00e9 de Namur (UNamur) and the Universit\u00e9 Saint-Louis (USL-B))","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I95674353","host_organization_name":"UCLouvain","host_organization_lineage":["https://openalex.org/I95674353"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:pub.librecat.org:1961458","doi":null,"is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/1961458","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Schubring G. &lt;em&gt;Conflicts between Generalization, Rigor and Intuition. Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany&lt;/em&gt;. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer; 2005.","raw_type":"info:eu-repo/semantics/book"},{"id":"pmh:oai:pub.uni-bielefeld.de:1961458","doi":null,"is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/1961458","pdf_url":null,"source":{"id":"https://openalex.org/S4306401624","display_name":"Publikationen an der Universit\u00e4t Bielefeld (Universit\u00e4t Bielefeld)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Schubring G. &lt;em&gt;Conflicts between Generalization, Rigor and Intuition. Number Concepts Underlying the Development of Analysis in 17th-19th Century France and Germany&lt;/em&gt;. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer; 2005.","raw_type":"info:eu-repo/semantics/book"},{"id":"mag:1601970396","doi":null,"is_oa":false,"landing_page_url":"https://ci.nii.ac.jp/ncid/BA72933542","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Springer eBooks","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1601970396","https://openalex.org/W2495629894","https://openalex.org/W2894996985","https://openalex.org/W2208874510","https://openalex.org/W2791803093","https://openalex.org/W3150054526","https://openalex.org/W2130581477","https://openalex.org/W4248274275","https://openalex.org/W2032253905","https://openalex.org/W7009841379"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":31},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":12},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":9},{"year":2012,"cited_by_count":6}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2022-05-12T00:00:00"}
