{"id":"https://openalex.org/W2051286489","doi":"https://doi.org/10.2307/2275607","title":"Omitting types in incomplete theories","display_name":"Omitting types in incomplete theories","publication_year":1996,"publication_date":"1996-03-01","ids":{"openalex":"https://openalex.org/W2051286489","doi":"https://doi.org/10.2307/2275607","mag":"2051286489"},"language":"en","primary_location":{"id":"doi:10.2307/2275607","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275607","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/A5065854962","display_name":"Enrique Casanovas","orcid":"https://orcid.org/0000-0003-1345-0230"},"institutions":[{"id":"https://openalex.org/I71999127","display_name":"Universitat de Barcelona","ror":"https://ror.org/021018s57","country_code":"ES","type":"education","lineage":["https://openalex.org/I71999127"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Enrique Casanovas","raw_affiliation_strings":["Dep. de L\u00f2gica, Hist. i Fil. de la Ci\u00e8ncia, Universitat de Barcelona, Baldiri Reixac s/n, 08028 Barcelona, Spain, E-mail:","Dep. de L\u00f2gica, Hist. i Fil. de la Ci\u00e8ncia, Universitat de Barcelona, Baldiri Reixac s/n, 08028 Barcelona, Spain, E-mail: casanova@cerber.mat.ub.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. de L\u00f2gica, Hist. i Fil. de la Ci\u00e8ncia, Universitat de Barcelona, Baldiri Reixac s/n, 08028 Barcelona, Spain, E-mail:","institution_ids":["https://openalex.org/I71999127"]},{"raw_affiliation_string":"Dep. de L\u00f2gica, Hist. i Fil. de la Ci\u00e8ncia, Universitat de Barcelona, Baldiri Reixac s/n, 08028 Barcelona, Spain, E-mail: casanova@cerber.mat.ub.es","institution_ids":["https://openalex.org/I71999127"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087018768","display_name":"Rafel Farr\u00e9","orcid":"https://orcid.org/0000-0003-2365-240X"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Rafel Farr\u00e9","raw_affiliation_strings":["Dep. de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Pau Gargallo, 5, 08028 Barcelona, Spain, E-mail:","Dep. de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Pau Gargallo, 5, 08028 Barcelona, Spain, E-mail: farre@ma2.upc.es"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dep. de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Pau Gargallo, 5, 08028 Barcelona, Spain, E-mail:","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"Dep. de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Pau Gargallo, 5, 08028 Barcelona, Spain, E-mail: farre@ma2.upc.es","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9802,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.74189212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"61","issue":"1","first_page":"236","last_page":"245"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9952999949455261,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9952999949455261,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9837999939918518,"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/countable-set","display_name":"Countable set","score":0.9307402968406677},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6995561718940735},{"id":"https://openalex.org/keywords/subfamily","display_name":"Subfamily","score":0.6573756337165833},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.6227956414222717},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.4189773499965668},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.39600178599357605},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3764997720718384},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3136020302772522},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0517178475856781},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.03255736827850342}],"concepts":[{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.9307402968406677},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6995561718940735},{"id":"https://openalex.org/C50929876","wikidata":"https://www.wikidata.org/wiki/Q164280","display_name":"Subfamily","level":3,"score":0.6573756337165833},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6227956414222717},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4189773499965668},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.39600178599357605},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3764997720718384},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3136020302772522},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0517178475856781},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.03255736827850342},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2275607","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2275607","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/1183744936","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183744936","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":4,"referenced_works":["https://openalex.org/W198936874","https://openalex.org/W2017222821","https://openalex.org/W2052368743","https://openalex.org/W2277409186"],"related_works":["https://openalex.org/W2523831781","https://openalex.org/W3017862060","https://openalex.org/W2152598442","https://openalex.org/W1966024327","https://openalex.org/W1585263941","https://openalex.org/W2126362355","https://openalex.org/W3183293121","https://openalex.org/W2541640833","https://openalex.org/W4206367340","https://openalex.org/W1606946808"],"abstract_inverted_index":{"Abstract":[0],"We":[1,26],"characterize":[2],"omissibility":[3,45,57],"of":[4,10,18,20,24,29,46,49,58],"a":[5,8,13,21,40,47],"type,":[6],"or":[7],"family":[9,48],"types,":[11],"in":[12,16],"countable":[14,60],"theory":[15],"terms":[17],"non-existence":[19],"certain":[22],"tree":[23],"formulas.":[25],"extend":[27],"results":[28],"L.":[30],"Newelski":[31],"on":[32],"omitting":[33],"&lt;":[34,50],"cov":[35,51],"K":[36,52],"non-isolated":[37],"types.":[38],"As":[39],"consequence":[41],"we":[42],"prove":[43],"that":[44],"types":[53],"is":[54],"equivalent":[55],"to":[56],"each":[59],"subfamily.":[61]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
