{"id":"https://openalex.org/W2953568414","doi":"https://doi.org/10.1215/00294527-2019-0012","title":"The Eu Approach to Formalizing Euclid: A Response to \u201cOn the Inconsistency of Mumma\u2019s Eu\u201d","display_name":"The Eu Approach to Formalizing Euclid: A Response to \u201cOn the Inconsistency of Mumma\u2019s Eu\u201d","publication_year":2019,"publication_date":"2019-07-02","ids":{"openalex":"https://openalex.org/W2953568414","doi":"https://doi.org/10.1215/00294527-2019-0012","mag":"2953568414"},"language":"en","primary_location":{"id":"doi:10.1215/00294527-2019-0012","is_oa":false,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0012","pdf_url":null,"source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},"type":"article","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/A5004603177","display_name":"John Mumma","orcid":"https://orcid.org/0000-0002-3523-2835"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"John Mumma","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004603177"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.4044,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.9427027,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"3","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":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9883999824523926,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13523","display_name":"Mathematics, Computing, and Information Processing","score":0.9657999873161316,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/diagrammatic-reasoning","display_name":"Diagrammatic reasoning","score":0.9479535222053528},{"id":"https://openalex.org/keywords/syntax","display_name":"Syntax","score":0.7450331449508667},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.6063675880432129},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5913951396942139},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.5785958170890808},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5069120526313782},{"id":"https://openalex.org/keywords/miller","display_name":"Miller","score":0.47975122928619385},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.37122368812561035},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3686121106147766},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35987216234207153},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.343170166015625},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2666531205177307},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25820451974868774},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.20447805523872375},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13493767380714417},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0905856192111969}],"concepts":[{"id":"https://openalex.org/C106624574","wikidata":"https://www.wikidata.org/wiki/Q5270387","display_name":"Diagrammatic reasoning","level":2,"score":0.9479535222053528},{"id":"https://openalex.org/C60048249","wikidata":"https://www.wikidata.org/wiki/Q37437","display_name":"Syntax","level":2,"score":0.7450331449508667},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.6063675880432129},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5913951396942139},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.5785958170890808},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5069120526313782},{"id":"https://openalex.org/C2777496998","wikidata":"https://www.wikidata.org/wiki/Q1536587","display_name":"Miller","level":2,"score":0.47975122928619385},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37122368812561035},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3686121106147766},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35987216234207153},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.343170166015625},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2666531205177307},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25820451974868774},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.20447805523872375},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13493767380714417},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0905856192111969},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1215/00294527-2019-0012","is_oa":false,"landing_page_url":"https://doi.org/10.1215/00294527-2019-0012","pdf_url":null,"source":{"id":"https://openalex.org/S78544662","display_name":"Notre Dame Journal of Formal Logic","issn_l":"0029-4527","issn":["0029-4527","1939-0726"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315698","host_organization_name":"Duke University Press","host_organization_lineage":["https://openalex.org/P4310315698","https://openalex.org/P4310315572"],"host_organization_lineage_names":["Duke University Press","Duke University"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Notre Dame Journal of Formal Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.ndjfl/1562033114","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1562033114","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W611972161","https://openalex.org/W650297997","https://openalex.org/W1484512593","https://openalex.org/W1577387048","https://openalex.org/W1605203097","https://openalex.org/W1969314209","https://openalex.org/W2002112344","https://openalex.org/W2061991645","https://openalex.org/W2081487758","https://openalex.org/W2131516971","https://openalex.org/W4237066445"],"related_works":["https://openalex.org/W3003518673","https://openalex.org/W2243494072","https://openalex.org/W1492562425","https://openalex.org/W1602096113","https://openalex.org/W1974511108","https://openalex.org/W46367284","https://openalex.org/W4205867730","https://openalex.org/W3203889139","https://openalex.org/W2006119128","https://openalex.org/W1984234339"],"abstract_inverted_index":{"In":[0,34],"line":[1],"with":[2,19,52],"Ken":[3],"Manders\u2019s":[4],"seminal":[5],"account":[6],"of":[7,28,43,49,56],"Euclid\u2019s":[8],"diagrammatic":[9,21],"method":[10,30],"in":[11],"the":[12,29,41,53,62],"\u201cThe":[13],"Euclidean":[14],"Diagram,\u201d":[15],"two":[16],"proof":[17],"systems":[18],"a":[20,35,47],"syntax":[22],"have":[23],"been":[24],"advanced":[25],"as":[26],"formalizations":[27],"FG":[31],"and":[32],"Eu.":[33,57],"paper":[36],"examining":[37],"Eu,":[38],"Nathaniel":[39],"Miller,":[40],"creator":[42],"FG,":[44],"has":[45],"identified":[46],"variety":[48],"technical":[50],"problems":[51,63],"formal":[54],"details":[55],"This":[58],"response":[59],"shows":[60],"how":[61],"are":[64],"remedied.":[65]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}