{"id":"https://openalex.org/W4251340532","doi":"https://doi.org/10.2307/2964053","title":"Eulerian syllogistic","display_name":"Eulerian syllogistic","publication_year":1957,"publication_date":"1957-03-01","ids":{"openalex":"https://openalex.org/W4251340532","doi":"https://doi.org/10.2307/2964053"},"language":"en","primary_location":{"id":"doi:10.2307/2964053","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2964053","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic 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/A5109366683","display_name":"Ivo Thomas","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ivo Thomas","raw_affiliation_strings":["Blackfriars, Oxford"],"affiliations":[{"raw_affiliation_string":"Blackfriars, Oxford","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5109366683"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.49343832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"22","issue":"1","first_page":"15","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9686999917030334,"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"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9495999813079834,"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/axiom","display_name":"Axiom","score":0.8021477460861206},{"id":"https://openalex.org/keywords/syllogism","display_name":"Syllogism","score":0.7750179767608643},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7606840133666992},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.6494429111480713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5752862691879272},{"id":"https://openalex.org/keywords/numbering","display_name":"Numbering","score":0.49418047070503235},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4574848711490631},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4124411940574646},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3537839651107788},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3359454274177551},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.20534074306488037},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.19542235136032104},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18935954570770264},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08764052391052246}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.8021477460861206},{"id":"https://openalex.org/C131598440","wikidata":"https://www.wikidata.org/wiki/Q107342","display_name":"Syllogism","level":2,"score":0.7750179767608643},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7606840133666992},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.6494429111480713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5752862691879272},{"id":"https://openalex.org/C191916993","wikidata":"https://www.wikidata.org/wiki/Q362019","display_name":"Numbering","level":2,"score":0.49418047070503235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4574848711490631},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4124411940574646},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3537839651107788},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3359454274177551},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.20534074306488037},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.19542235136032104},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18935954570770264},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08764052391052246},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2964053","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2964053","pdf_url":null,"source":{"id":"https://openalex.org/S177675236","display_name":"Journal of Symbolic Logic","issn_l":"0022-4812","issn":["0022-4812","1943-5886"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Logic","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jsl/1183732658","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183732658","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W2024396001","https://openalex.org/W2921632628"],"related_works":["https://openalex.org/W2380905223","https://openalex.org/W2316187651","https://openalex.org/W2005053760","https://openalex.org/W2339556925","https://openalex.org/W74604206","https://openalex.org/W2072536799","https://openalex.org/W1485272726","https://openalex.org/W4232919785","https://openalex.org/W2404739533","https://openalex.org/W255137432"],"abstract_inverted_index":{"Faris":[0],"[1]":[1],"presents":[2],"a":[3,25],"system":[4,52],"for":[5,33],"non-void":[6],"classes":[7],"employing":[8],"four":[9],"primitive":[10],"functors":[11,37],"with":[12,24,75],"another":[13],"defined,":[14],"and":[15,20,46],"based":[16],"on":[17],"ten":[18],"asserted":[19],"eleven":[21],"rejected":[22],"axioms,":[23],"special":[26],"rule":[27],"of":[28,64],"rejection":[29],"analogous":[30],"to":[31,41,72],"S\u0142upecki's":[32],"the":[34,51,56,61,68,73],"syllogistic.":[35],"Primitive":[36],"are":[38,44],"here":[39],"reduced":[40],"three,":[42],"axioms":[43,76],"simplified,":[45],"it":[47],"is":[48,53],"shown":[49],"that":[50],"decidable":[54],"by":[55],"easier":[57],"syllogistic":[58],"means,":[59],"e.g.":[60],"tabular":[62],"method":[63],"Thomas":[65],"[3].":[66],"From":[67],"theses":[69],"(original":[70],"numbering":[71],"right":[74],"starred)":[77],"we":[78],"can":[79],"deduce":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}