{"id":"https://openalex.org/W2150425213","doi":"https://doi.org/10.2307/2274105","title":"Constructible falsity and inexact predicates","display_name":"Constructible falsity and inexact predicates","publication_year":1984,"publication_date":"1984-03-01","ids":{"openalex":"https://openalex.org/W2150425213","doi":"https://doi.org/10.2307/2274105","mag":"2150425213"},"language":"en","primary_location":{"id":"doi:10.2307/2274105","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274105","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/A5077951454","display_name":"Ahmad Almukdad","orcid":null},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ahmad Almukdad","raw_affiliation_strings":["George Washington University, Washington, D.C. 20052"],"affiliations":[{"raw_affiliation_string":"George Washington University, Washington, D.C. 20052","institution_ids":["https://openalex.org/I193531525"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101700491","display_name":"David Nelson","orcid":"https://orcid.org/0000-0003-1163-1222"},"institutions":[{"id":"https://openalex.org/I193531525","display_name":"George Washington University","ror":"https://ror.org/00y4zzh67","country_code":"US","type":"education","lineage":["https://openalex.org/I193531525"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Nelson","raw_affiliation_strings":["George Washington University, Washington, D.C. 20052"],"affiliations":[{"raw_affiliation_string":"George Washington University, Washington, D.C. 20052","institution_ids":["https://openalex.org/I193531525"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077951454"],"corresponding_institution_ids":["https://openalex.org/I193531525"],"apc_list":null,"apc_paid":null,"fwci":1.5287,"has_fulltext":false,"cited_by_count":276,"citation_normalized_percentile":{"value":0.87075824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"49","issue":"1","first_page":"231","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9980000257492065,"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":0.9980000257492065,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9959999918937683,"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":0.9915000200271606,"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/falsity","display_name":"Falsity","score":0.9420876502990723},{"id":"https://openalex.org/keywords/negation","display_name":"Negation","score":0.8256567120552063},{"id":"https://openalex.org/keywords/realizability","display_name":"Realizability","score":0.8058838248252869},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.6686180830001831},{"id":"https://openalex.org/keywords/law-of-excluded-middle","display_name":"Law of excluded middle","score":0.6548589468002319},{"id":"https://openalex.org/keywords/intuitionistic-logic","display_name":"Intuitionistic logic","score":0.6502221822738647},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.6473796367645264},{"id":"https://openalex.org/keywords/negation-as-failure","display_name":"Negation as failure","score":0.5663593411445618},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.5508735179901123},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5234096646308899},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.48375916481018066},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.43237560987472534},{"id":"https://openalex.org/keywords/extensional-definition","display_name":"Extensional definition","score":0.4146578907966614},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3651517629623413},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3017446994781494},{"id":"https://openalex.org/keywords/propositional-calculus","display_name":"Propositional calculus","score":0.2726941704750061},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2374861240386963},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.16861560940742493},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16794168949127197},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.1329738199710846},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13225704431533813},{"id":"https://openalex.org/keywords/autoepistemic-logic","display_name":"Autoepistemic logic","score":0.11672770977020264},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08817961812019348},{"id":"https://openalex.org/keywords/multimodal-logic","display_name":"Multimodal logic","score":0.0713474452495575},{"id":"https://openalex.org/keywords/description-logic","display_name":"Description logic","score":0.06155663728713989}],"concepts":[{"id":"https://openalex.org/C2777685122","wikidata":"https://www.wikidata.org/wiki/Q170028","display_name":"Falsity","level":2,"score":0.9420876502990723},{"id":"https://openalex.org/C2185349","wikidata":"https://www.wikidata.org/wiki/Q190558","display_name":"Negation","level":2,"score":0.8256567120552063},{"id":"https://openalex.org/C2776378722","wikidata":"https://www.wikidata.org/wiki/Q3454417","display_name":"Realizability","level":2,"score":0.8058838248252869},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.6686180830001831},{"id":"https://openalex.org/C137155000","wikidata":"https://www.wikidata.org/wiki/Q468422","display_name":"Law of excluded middle","level":2,"score":0.6548589468002319},{"id":"https://openalex.org/C178421362","wikidata":"https://www.wikidata.org/wiki/Q176786","display_name":"Intuitionistic logic","level":3,"score":0.6502221822738647},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.6473796367645264},{"id":"https://openalex.org/C194146651","wikidata":"https://www.wikidata.org/wiki/Q2119400","display_name":"Negation as failure","level":5,"score":0.5663593411445618},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.5508735179901123},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5234096646308899},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.48375916481018066},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.43237560987472534},{"id":"https://openalex.org/C136137745","wikidata":"https://www.wikidata.org/wiki/Q19515659","display_name":"Extensional definition","level":3,"score":0.4146578907966614},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3651517629623413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3017446994781494},{"id":"https://openalex.org/C69562738","wikidata":"https://www.wikidata.org/wiki/Q200694","display_name":"Propositional calculus","level":2,"score":0.2726941704750061},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2374861240386963},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.16861560940742493},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16794168949127197},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1329738199710846},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13225704431533813},{"id":"https://openalex.org/C3845977","wikidata":"https://www.wikidata.org/wiki/Q4826262","display_name":"Autoepistemic logic","level":4,"score":0.11672770977020264},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08817961812019348},{"id":"https://openalex.org/C203659156","wikidata":"https://www.wikidata.org/wiki/Q6934805","display_name":"Multimodal logic","level":3,"score":0.0713474452495575},{"id":"https://openalex.org/C102993220","wikidata":"https://www.wikidata.org/wiki/Q387196","display_name":"Description logic","level":2,"score":0.06155663728713989},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C77928131","wikidata":"https://www.wikidata.org/wiki/Q193343","display_name":"Tectonics","level":2,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2307/2274105","is_oa":false,"landing_page_url":"https://doi.org/10.2307/2274105","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/1183741489","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jsl/1183741489","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":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1483568252","https://openalex.org/W1999122702","https://openalex.org/W2082817076","https://openalex.org/W2324629636","https://openalex.org/W2395077224","https://openalex.org/W4245674526"],"related_works":["https://openalex.org/W2911810154","https://openalex.org/W2378543418","https://openalex.org/W4320028434","https://openalex.org/W2790159133","https://openalex.org/W1987269014","https://openalex.org/W4388593575","https://openalex.org/W1593583567","https://openalex.org/W112411749","https://openalex.org/W2150425213","https://openalex.org/W4206538313"],"abstract_inverted_index":{"In":[0],"1949":[1],"Nelson":[2],"[5]":[3],"proposed":[4],"a":[5,14,114,141],"constructive":[6,73],"logic":[7],"in":[8,13,131,150],"which":[9],"falsity":[10,79],"is":[11,113,135],"conceived":[12],"fashion":[15],"analogous":[16],"to":[17,102,137,163],"that":[18,65,108],"for":[19,37,54,72,160],"intuitionistic":[20,39,90,109,121],"truth.":[21],"The":[22,83],"predicate":[23,104,110],"calculus":[24,111],"N":[25,66,81,117,132,139],"(for":[26],"strong":[27,55,92],"negation)":[28],"was":[29],"characterized":[30],"by":[31,118],"the":[32,50,89,120,146,156],"usual":[33],"axioms":[34],"and":[35,47,78,91],"rules":[36],"positive":[38],"connectives":[40],"(see":[41],"Kleene":[42],"[4,":[43],"p.":[44,152],"82,":[45],"la\u20137":[46],"9\u201312]),":[48],"with":[49,70],"additional":[51],"axiom":[52],"schemata":[53],"negation:":[56],"A":[57,124,126,162,164],"\u2283":[58,60,127,165],"(\u00acA":[59],"B),":[61],"Nelson's":[62],"paper":[63,84],"showed":[64],"may":[67],"be":[68],"interpreted":[69],"concepts":[71],"truth":[74],"(":[75,80],"P":[76],"-realizability)":[77],"-realizability).":[82],"also":[85],"gave":[86],"mappings":[87,98],"between":[88],"negation":[93,122],"systems":[94],"of":[95,116,123,143,148,158],"arithmetic.":[96],"These":[97],"are":[99],"easily":[100],"adapted":[101],"pure":[103],"calculus.":[105],"One":[106],"shows":[107],"I":[112,144],"subsystem":[115,142],"reading":[119],"as":[125],"B":[128,166],"&amp;":[129,167],"\u00acB":[130],".":[133],"It":[134],"possible":[136],"map":[138],"into":[140],"using":[145],"definition":[147,157],"A\u2032":[149],"[5,":[151],"19]":[153],"changing":[154],"only":[155],"(\u00acA)\u2032":[159],"atomic":[161],"\u00acB.":[168]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":25},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":17},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":18},{"year":2016,"cited_by_count":14},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}
