{"id":"https://openalex.org/W2023681781","doi":"https://doi.org/10.1305/ndjfl/1074396309","title":"Intuitionistic Completeness and Classical Logic","display_name":"Intuitionistic Completeness and Classical Logic","publication_year":2002,"publication_date":"2002-10-01","ids":{"openalex":"https://openalex.org/W2023681781","doi":"https://doi.org/10.1305/ndjfl/1074396309","mag":"2023681781"},"language":"en","primary_location":{"id":"doi:10.1305/ndjfl/1074396309","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1074396309","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-4/Intuitionistic-Completeness-and-Classical-Logic/10.1305/ndjfl/1074396309.pdf","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":true,"oa_status":"bronze","oa_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-4/Intuitionistic-Completeness-and-Classical-Logic/10.1305/ndjfl/1074396309.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074154137","display_name":"David Charles McCarty","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]},{"id":"https://openalex.org/I4210119109","display_name":"Indiana University Bloomington","ror":"https://ror.org/02k40bc56","country_code":"US","type":"education","lineage":["https://openalex.org/I4210119109","https://openalex.org/I592451"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. C. McCarty","raw_affiliation_strings":["Department of Philosophy Sycamore 026 Indiana University 1033 E Third St Bloomington IN 47405-7005","University of Notre Dame"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Philosophy Sycamore 026 Indiana University 1033 E Third St Bloomington IN 47405-7005","institution_ids":["https://openalex.org/I4210119109"]},{"raw_affiliation_string":"University of Notre Dame","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5074154137"],"corresponding_institution_ids":["https://openalex.org/I107639228","https://openalex.org/I4210119109"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.10304175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"43","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9987999796867371,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9890000224113464,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9781000018119812,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.7929597496986389},{"id":"https://openalex.org/keywords/metatheory","display_name":"Metatheory","score":0.7159813046455383},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.6445295214653015},{"id":"https://openalex.org/keywords/intermediate-logic","display_name":"Intermediate logic","score":0.5897131562232971},{"id":"https://openalex.org/keywords/tautology","display_name":"Tautology (logic)","score":0.5684864521026611},{"id":"https://openalex.org/keywords/propositional-variable","display_name":"Propositional variable","score":0.537521481513977},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5305723547935486},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.5223578214645386},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.4556747376918793},{"id":"https://openalex.org/keywords/truth-value","display_name":"Truth value","score":0.41971254348754883},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4125867784023285},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35615161061286926},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24513742327690125},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.22940942645072937},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.14361387491226196},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.1259046196937561},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08122318983078003},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.06304740905761719}],"concepts":[{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.7929597496986389},{"id":"https://openalex.org/C39387531","wikidata":"https://www.wikidata.org/wiki/Q1096708","display_name":"Metatheory","level":2,"score":0.7159813046455383},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.6445295214653015},{"id":"https://openalex.org/C33203268","wikidata":"https://www.wikidata.org/wiki/Q5361594","display_name":"Intermediate logic","level":3,"score":0.5897131562232971},{"id":"https://openalex.org/C166374712","wikidata":"https://www.wikidata.org/wiki/Q209555","display_name":"Tautology (logic)","level":5,"score":0.5684864521026611},{"id":"https://openalex.org/C14523651","wikidata":"https://www.wikidata.org/wiki/Q3492863","display_name":"Propositional variable","level":4,"score":0.537521481513977},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5305723547935486},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.5223578214645386},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.4556747376918793},{"id":"https://openalex.org/C46274116","wikidata":"https://www.wikidata.org/wiki/Q185521","display_name":"Truth value","level":2,"score":0.41971254348754883},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4125867784023285},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35615161061286926},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24513742327690125},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.22940942645072937},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.14361387491226196},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.1259046196937561},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08122318983078003},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.06304740905761719},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":2,"locations":[{"id":"doi:10.1305/ndjfl/1074396309","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1074396309","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-4/Intuitionistic-Completeness-and-Classical-Logic/10.1305/ndjfl/1074396309.pdf","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/1074396309","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ndjfl/1074396309","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":{"id":"doi:10.1305/ndjfl/1074396309","is_oa":true,"landing_page_url":"https://doi.org/10.1305/ndjfl/1074396309","pdf_url":"https://projecteuclid.org/journals/notre-dame-journal-of-formal-logic/volume-43/issue-4/Intuitionistic-Completeness-and-Classical-Logic/10.1305/ndjfl/1074396309.pdf","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"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2023681781.pdf","grobid_xml":"https://content.openalex.org/works/W2023681781.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1487403858","https://openalex.org/W1608607427","https://openalex.org/W2045524779","https://openalex.org/W2071514253","https://openalex.org/W2088214355","https://openalex.org/W2798718690"],"related_works":["https://openalex.org/W2379048460","https://openalex.org/W2508249339","https://openalex.org/W2384278060","https://openalex.org/W1986625420","https://openalex.org/W1504271387","https://openalex.org/W2383907964","https://openalex.org/W1996090679","https://openalex.org/W2363368467","https://openalex.org/W2098830699","https://openalex.org/W969911513"],"abstract_inverted_index":{"We":[0],"show":[1],"that,":[2],"if":[3],"a":[4],"suitable":[5],"intuitionistic":[6,43,64],"metatheory":[7,30],"proves":[8,32],"that":[9,29],"consistency":[10],"implies":[11],"satisfiability":[12],"for":[13,63],"subfinite":[14],"sets":[15],"of":[16,36],"propositional":[17,39,65],"formulas":[18],"relative":[19],"either":[20],"to":[21,25],"standard":[22],"structures":[23],"or":[24,49],"Kripke":[26],"models,":[27],"then":[28],"also":[31],"every":[33,37],"negative":[34,56],"instance":[35],"classical":[38],"tautology.":[40],"Since":[41],"reasonable":[42],"set":[44],"theories":[45,59],"such":[46,55],"as":[47],"HAS":[48],"IZF":[50],"do":[51],"not":[52],"demonstrate":[53],"all":[54],"instances,":[57],"these":[58],"cannot":[60],"prove":[61],"completeness":[62],"logic":[66],"in":[67],"the":[68],"present":[69],"sense.":[70]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}
