{"id":"https://openalex.org/W1963709093","doi":"https://doi.org/10.1002/malq.19940400104","title":"Fregean Extensions of First\u2010Order Theories","display_name":"Fregean Extensions of First\u2010Order Theories","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W1963709093","doi":"https://doi.org/10.1002/malq.19940400104","mag":"1963709093"},"language":"en","primary_location":{"id":"doi:10.1002/malq.19940400104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19940400104","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","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/A5046508035","display_name":"John Bell","orcid":"https://orcid.org/0000-0001-8887-675X"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"John L. Bell","raw_affiliation_strings":["Department of Philosophy, University of Western Ontario, London, Ontario, Canada N6A 3K7"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy, University of Western Ontario, London, Ontario, Canada N6A 3K7","institution_ids":["https://openalex.org/I125749732"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046508035"],"corresponding_institution_ids":["https://openalex.org/I125749732"],"apc_list":{"value":2630,"currency":"USD","value_usd":2630},"apc_paid":null,"fwci":0.5159,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.66681261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"40","issue":"1","first_page":"27","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10258","display_name":"Philosophy and Theoretical Science","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9574000239372253,"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/T11463","display_name":"Classical Philosophy and Thought","score":0.9444000124931335,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"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/mathematics","display_name":"Mathematics","score":0.788928747177124},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.6121940016746521},{"id":"https://openalex.org/keywords/fragment","display_name":"Fragment (logic)","score":0.5517839193344116},{"id":"https://openalex.org/keywords/mathematics-subject-classification","display_name":"Mathematics Subject Classification","score":0.4923316240310669},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.4808838665485382},{"id":"https://openalex.org/keywords/first-order","display_name":"First order","score":0.44729477167129517},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4077792167663574},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3465087115764618},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33428165316581726},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2473146915435791},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1745694875717163},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12540733814239502},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.10089737176895142}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.788928747177124},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6121940016746521},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.5517839193344116},{"id":"https://openalex.org/C2778778035","wikidata":"https://www.wikidata.org/wiki/Q967960","display_name":"Mathematics Subject Classification","level":2,"score":0.4923316240310669},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.4808838665485382},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.44729477167129517},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4077792167663574},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3465087115764618},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33428165316581726},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2473146915435791},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1745694875717163},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12540733814239502},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.10089737176895142},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.0},{"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":1,"locations":[{"id":"doi:10.1002/malq.19940400104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/malq.19940400104","pdf_url":null,"source":{"id":"https://openalex.org/S172351290","display_name":"Mathematical logic quarterly","issn_l":"0942-5616","issn":["0942-5616","1521-3870"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Logic Quarterly","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W123923308","https://openalex.org/W2003673536"],"related_works":["https://openalex.org/W1973480752","https://openalex.org/W2805502594","https://openalex.org/W4253208712","https://openalex.org/W1603677234","https://openalex.org/W3132641048","https://openalex.org/W2217679042","https://openalex.org/W2525971763","https://openalex.org/W2984753899","https://openalex.org/W2783178962","https://openalex.org/W2021704447"],"abstract_inverted_index":{"Abstract":[0],"It":[1],"is":[2,21],"shown":[3],"by":[4],"Parsons":[5],"[2]":[6],"that":[7,43],"the":[8,17,58],"first\u2010order":[9,38],"fragment":[10],"of":[11,33,54,60],"Frege's":[12],"(inconsistent)":[13],"logical":[14],"system":[15],"in":[16],"Grundgesetze":[18],"der":[19],"Arithmetic":[20],"consistent.":[22],"In":[23],"this":[24,34],"note":[25],"we":[26],"formulate":[27],"and":[28],"prove":[29],"a":[30,44],"stronger":[31],"version":[32],"result":[35,51],"for":[36],"arbitrary":[37],"theories.":[39],"We":[40],"also":[41],"show":[42],"natural":[45],"attempt":[46],"to":[47],"further":[48],"strengthen":[49],"our":[50],"runs":[52],"afoul":[53],"Tarski's":[55],"theorem":[56],"on":[57],"undefinability":[59],"truth.":[61],"Mathematics":[62],"Subject":[63],"Classification:":[64],"03B10.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
